{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":679,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":679,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"7853fbbe10e6","filters":{"topic":"Fractional Differential Equations Solutions"}},"results":[{"id":"W2086574007","doi":"10.1016/s0375-9601(00)00201-2","title":"Fractional quantum mechanics and Lévy path integrals","year":2000,"lang":"en","type":"article","venue":"Physics Letters A","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1567,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Path integral formulation; Density matrix; Fractional calculus; Quantum statistical mechanics; Generalization; Feynman diagram; Momentum (technical analysis); Statistical mechanics; Quantization (signal processing); Probability amplitude","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04559691812270841,"gpt":0.2947206424008201,"spread":0.2491237242781117,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009232078,0.0007445485,0.001089722,0.002029901,0.001785911,0.00336088,0.0009486426,0.002936047,0.004978288],"category_scores_gemma":[0.00398671,0.0004412803,0.0006867046,0.001451267,0.003645057,0.005005323,0.001385408,0.00229953,0.0003684965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001783422,"about_ca_system_score_gemma":0.0008765086,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001929343,"about_ca_topic_score_gemma":0.00115945,"domain_scores_codex":[0.9997135,0.00009462893,0.00001159245,0.00004002155,0.00008599299,0.00005424012],"domain_scores_gemma":[0.9990405,0.0004415142,0.0001569918,0.00008767341,0.0001313015,0.0001420028],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007195468,0.000009949073,0.00004991435,0.00000722855,0.000002936745,0.00003207639,0.0000373664,0.0009800658,0.000169992,0.9976082,0.0003801296,0.00071481],"study_design_scores_gemma":[0.000005972401,0.000002883056,0.00006410468,0.000002989049,0.000001515065,0.00002717126,0.00001851248,0.00731023,0.00003788342,0.9920409,0.0004829254,0.000004900083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6147137,0.01241306,0.1926883,0.02275296,0.002256694,0.00005125535,0.0002277068,0.00029642,0.1545999],"genre_scores_gemma":[0.9624852,0.002804289,0.008788606,0.0006899682,0.0015444,0.00004081213,0.00009565964,0.00004756193,0.02350362],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004978288,"threshold_uncertainty_score":0.01665407,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1973352373","doi":"10.1103/physreve.66.056108","title":"Fractional Schrödinger equation","year":2002,"lang":"en","type":"article","venue":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1545,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Bohr model; Semiclassical physics; Schrödinger equation; Fractional calculus; Mathematical physics; Physics; Quantum mechanics; Operator (biology); Mathematics; Quantum; Chemistry","authors":[{"name":"Nick Laskin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06212601510233678,"gpt":0.3675678138880609,"spread":0.3054417987857241,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005651138,0.0003192961,0.000614807,0.0006591537,0.0008798938,0.001132019,0.0005128153,0.001349048,0.007110876],"category_scores_gemma":[0.001869859,0.0001502411,0.0006117795,0.0005696874,0.001206198,0.001973891,0.0008114104,0.001354701,0.0005971515],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008791487,"about_ca_system_score_gemma":0.0009347778,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002261809,"about_ca_topic_score_gemma":0.0009445327,"domain_scores_codex":[0.9996296,0.00006322382,0.00002181596,0.00004925641,0.0001690623,0.00006701434],"domain_scores_gemma":[0.9996717,0.00009719634,0.00004801694,0.00005384621,0.0001018154,0.00002741868],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005828469,0.000005296991,0.0001066738,0.00001614346,0.000002847366,0.00009589174,0.00007268553,0.001806989,0.0007377979,0.992768,0.001518153,0.002863685],"study_design_scores_gemma":[0.00001550445,0.00001701613,0.0003468659,0.00001663367,0.000005224985,0.000467983,0.0000448323,0.03617324,0.0004352067,0.9499432,0.01251531,0.00001907858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1411705,0.007421364,0.4084217,0.01196671,0.001702225,0.0002657292,0.00135464,0.0002851076,0.4274119],"genre_scores_gemma":[0.8600495,0.004044988,0.06696874,0.001837638,0.001085444,0.0002326196,0.0005811989,0.00006126971,0.06513868],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007110876,"threshold_uncertainty_score":0.02378821,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2045350842","doi":"10.1155/2011/298628","title":"Mittag‐Leffler Functions and Their Applications","year":2011,"lang":"en","type":"article","venue":"Journal of Applied Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":976,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mittag-Leffler function; Function (biology); Special functions; Computer science; Type (biology); Mathematics; Applied mathematics; Algebra over a field; Pure mathematics; Fractional calculus","authors":[{"name":"H. J. Haubold","is_ca":false},{"name":"A. M. Mathai","is_ca":true},{"name":"R. K. Saxena","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08177334466300841,"gpt":0.2826066089873522,"spread":0.2008332643243438,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001091728,0.001140153,0.0008588257,0.002713982,0.0009543934,0.002445227,0.0006007694,0.001507146,0.005325596],"category_scores_gemma":[0.004590964,0.000338881,0.000899885,0.00246142,0.001631453,0.002679654,0.001153297,0.002166421,0.001956922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001037342,"about_ca_system_score_gemma":0.0005602991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001087093,"about_ca_topic_score_gemma":0.0005201307,"domain_scores_codex":[0.9992957,0.0002484685,0.00005444964,0.0001041758,0.0002084924,0.00008875221],"domain_scores_gemma":[0.9990847,0.0004591211,0.00009525597,0.00009341916,0.0002110567,0.00005638043],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001389041,0.000009872725,0.0001492164,0.00007833417,0.000008111894,0.00005666935,0.0001249026,0.004952199,0.0007207455,0.9672769,0.00190478,0.02470442],"study_design_scores_gemma":[0.00000549149,0.00004347875,0.0003032246,0.00005791378,0.00001200007,0.0002584822,0.00006959569,0.03887321,0.0008318667,0.9243335,0.03518309,0.00002811228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04132757,0.05058793,0.7176332,0.002314047,0.001770673,0.00008316705,0.0003392821,0.0004217601,0.1855224],"genre_scores_gemma":[0.7116212,0.05065081,0.1449759,0.001432852,0.003764984,0.0003588419,0.0005167497,0.0002841819,0.0863945],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005325596,"threshold_uncertainty_score":0.01781589,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990934669","doi":"10.1016/j.aml.2008.06.003","title":"Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions","year":2008,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":458,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fractional calculus; Mathematics; Differentiable function; Taylor series; Order (exchange); Riemann hypothesis; Time-scale calculus; Derivative (finance); Taylor's theorem; Calculus (dental); Applied mathematics; Pure mathematics; Mathematical analysis; Multivariable calculus","authors":[{"name":"Guy Jumarie","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05050998126301955,"gpt":0.2694654316489721,"spread":0.2189554503859526,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003021219,0.0009415384,0.001201172,0.002372524,0.001482965,0.001417095,0.001113523,0.0008382853,0.0470906],"category_scores_gemma":[0.001159246,0.0003077895,0.001033063,0.003174617,0.0005790364,0.001381271,0.0003829226,0.001261484,0.008541936],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007563506,"about_ca_system_score_gemma":0.0007127434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000953489,"about_ca_topic_score_gemma":0.0007556825,"domain_scores_codex":[0.9998614,0.00001668644,0.00001696688,0.00002839055,0.00005812227,0.00001843035],"domain_scores_gemma":[0.9996545,0.0001618195,0.00002812607,0.0000476839,0.00009565651,0.00001214943],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002995037,0.0001821114,0.0006789149,0.001344145,0.00004951912,0.0008950753,0.0002658351,0.006344979,0.01991595,0.6807836,0.05148797,0.2377524],"study_design_scores_gemma":[0.0000993366,0.0002236786,0.002830842,0.000259438,0.0001075474,0.002077186,0.0001240623,0.02984225,0.02079545,0.4773287,0.4661563,0.0001550614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.09908435,0.01078829,0.3772112,0.001337819,0.003502093,0.001016563,0.01522377,0.004521315,0.4873146],"genre_scores_gemma":[0.3471084,0.01074063,0.4156351,0.001269146,0.001437315,0.0009513822,0.0176531,0.002408036,0.2027968],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.0470906,"threshold_uncertainty_score":0.1575338,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2108338926","doi":"10.1016/j.amc.2009.01.055","title":"Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel","year":2009,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":449,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Deutscher Akademischer Austauschdienst","keywords":"Mathematics; Fractional calculus; Operator (biology); Kernel (algebra); Mittag-Leffler function; Calculus (dental); Pure mathematics; Function (biology); Generalized function; Algebra over a field; Applied mathematics","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Živorad Tomovski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04587724898354987,"gpt":0.3133876952035992,"spread":0.2675104462200493,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001548468,0.001002226,0.001698341,0.002341659,0.001889139,0.00365574,0.00138151,0.003558944,0.00219518],"category_scores_gemma":[0.003422236,0.0005105252,0.001765283,0.001384036,0.004189915,0.005411715,0.002531751,0.002572986,0.000500158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001645793,"about_ca_system_score_gemma":0.001105212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009805158,"about_ca_topic_score_gemma":0.0005342675,"domain_scores_codex":[0.9991703,0.0002992102,0.0000476013,0.0001337124,0.0002320571,0.0001170704],"domain_scores_gemma":[0.9990695,0.000234488,0.0001181164,0.0001570607,0.000185565,0.0002353055],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003117208,0.00003139946,0.00008320843,0.00002624352,0.00001660369,0.0001957933,0.0001079833,0.002425703,0.00312826,0.9920405,0.0002579333,0.001655124],"study_design_scores_gemma":[0.00004279654,0.00005816428,0.0002568449,0.00001850047,0.0000430917,0.0006044862,0.00008491869,0.134773,0.00315698,0.8585197,0.002372389,0.00006921324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2618687,0.002078168,0.6816801,0.002538752,0.001368417,0.00009549539,0.00007924249,0.0004119883,0.0498792],"genre_scores_gemma":[0.8938193,0.0007847173,0.0822069,0.0004831991,0.001002163,0.00007118011,0.00005044672,0.0001517833,0.02143031],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00365574,"threshold_uncertainty_score":0.01194108,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2504592056","doi":"10.1103/physrevlett.113.098302","title":"Diffusing Diffusivity: A Model for Anomalous, yet Brownian, Diffusion","year":2014,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":416,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Thermal diffusivity; Mean squared displacement; Statistical physics; Brownian motion; Exponential function; Diffusion; Anomalous diffusion; Random walk; Gaussian; Physics; Exponential distribution; Thermodynamics; Mathematics; Mathematical analysis; Statistics; Quantum mechanics; Innovation diffusion","authors":[{"name":"Mykyta V. Chubynsky","is_ca":true},{"name":"Gary W. Slater","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06563136616027908,"gpt":0.350894757817412,"spread":0.2852633916571329,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006684618,0.0006268403,0.0006568744,0.0007061656,0.0005188066,0.001031127,0.001530678,0.00264683,0.001282286],"category_scores_gemma":[0.001670102,0.0002919462,0.0006918754,0.0006023952,0.001468188,0.002614894,0.0009530299,0.001210855,0.0004385367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008786781,"about_ca_system_score_gemma":0.000605477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001333186,"about_ca_topic_score_gemma":0.0006734023,"domain_scores_codex":[0.9997527,0.00005484323,0.00001585587,0.00006658504,0.00006096561,0.00004901963],"domain_scores_gemma":[0.9995321,0.0001575973,0.0001110483,0.00006694853,0.00006918314,0.00006310904],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000519248,0.00003910913,0.0006787081,0.00008307228,0.00001674711,0.0003859736,0.0002336843,0.0939393,0.01443119,0.88327,0.001807139,0.005063201],"study_design_scores_gemma":[0.00003859875,0.00004431953,0.0001746882,0.00001543151,0.00001213139,0.0003579617,0.00002933216,0.7688625,0.00147431,0.2233588,0.005605624,0.00002636811],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1656938,0.00361431,0.7977526,0.005871307,0.0004602918,0.0001403451,0.000379855,0.0003564629,0.02573114],"genre_scores_gemma":[0.899256,0.002031807,0.07768682,0.0007798641,0.0002818749,0.0001877803,0.0001505094,0.00008965123,0.01953574],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00264683,"threshold_uncertainty_score":0.006375253,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W29986268","doi":"10.1016/j.drugalcdep.2018.04.035","title":"New interpretation of homotopy perturbation method","year":2006,"lang":"en","type":"article","venue":"International Journal of Modern Physics B","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":387,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"National Institute on Drug Abuse; Ontario Ministry of Research and Innovation; Canadian Institutes of Health Research","keywords":"Interpretation (philosophy); Homotopy; Homotopy perturbation method; Perturbation (astronomy); Computer science; Theoretical physics; Physics; Mathematics; Pure mathematics; Quantum mechanics","authors":[{"name":"Ji‐Huan He","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03426073903100466,"gpt":0.3566178407154465,"spread":0.3223571016844418,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001462443,0.0009964905,0.0007170454,0.001882541,0.0006573901,0.001701765,0.001176097,0.001603621,0.009681461],"category_scores_gemma":[0.006537283,0.0003560436,0.0007770183,0.0006513691,0.001460608,0.002136127,0.002189937,0.002079162,0.001856326],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006601936,"about_ca_system_score_gemma":0.0007217358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001453407,"about_ca_topic_score_gemma":0.0008411642,"domain_scores_codex":[0.9991622,0.000425389,0.00003930075,0.0001505394,0.0001728443,0.00004976905],"domain_scores_gemma":[0.9983819,0.0006705262,0.0001409975,0.0002251236,0.0004688829,0.0001125628],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001142804,0.00006551168,0.001067105,0.0001677558,0.0000811122,0.0003324963,0.000186206,0.05647576,0.007087192,0.8368596,0.006225985,0.09133694],"study_design_scores_gemma":[0.00001443892,0.00005801895,0.0004622193,0.00003279318,0.0000175206,0.0001669306,0.00005340259,0.6507862,0.001195588,0.3373174,0.009863796,0.00003177566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00797705,0.0003541042,0.9761099,0.0008176093,0.000645178,0.0000490509,0.00009318226,0.0002279834,0.01372605],"genre_scores_gemma":[0.4307291,0.001536268,0.5095778,0.001356702,0.001777586,0.000443331,0.0004064085,0.0007784502,0.05339441],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009681461,"threshold_uncertainty_score":0.03238773,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1972754929","doi":"10.1016/j.camwa.2009.05.015","title":"Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio","year":2009,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":318,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Fractional calculus; Applied mathematics; Order (exchange); Mathematical analysis; Finance","authors":[{"name":"Guy Jumarie","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02274664781101199,"gpt":0.2814153477455577,"spread":0.2586686999345457,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001067516,0.0008559883,0.0007665437,0.001354433,0.0007169693,0.001538029,0.0007541472,0.002170031,0.004089081],"category_scores_gemma":[0.006379298,0.000491715,0.001445253,0.0008049204,0.001552678,0.002993087,0.00175584,0.002038744,0.0003144086],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001115171,"about_ca_system_score_gemma":0.001265501,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003174662,"about_ca_topic_score_gemma":0.002919926,"domain_scores_codex":[0.9998013,0.00005747374,0.00001854156,0.00002729511,0.00007298856,0.00002233617],"domain_scores_gemma":[0.9993782,0.0002315412,0.0001202375,0.00004767027,0.000127638,0.00009478132],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009495145,0.00001666625,0.0002168879,0.00003802563,0.00001674658,0.0001317429,0.00009482599,0.04042554,0.00102245,0.9526662,0.0005711133,0.004790287],"study_design_scores_gemma":[0.00001793142,0.000019176,0.0002775685,0.00002523717,0.00001026386,0.0001261893,0.0000426903,0.4042078,0.0004403013,0.5919743,0.002839992,0.00001861144],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1146314,0.004110234,0.8342533,0.004046577,0.0006574606,0.00009366129,0.0002134515,0.0001608921,0.04183304],"genre_scores_gemma":[0.7982762,0.003180989,0.159381,0.0005242112,0.0003941292,0.0001433251,0.0001646234,0.0001361077,0.03779932],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004089081,"threshold_uncertainty_score":0.01367939,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2108293464","doi":"10.1016/s1007-5704(03)00037-6","title":"Fractional Poisson Process","year":2003,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":298,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Compound Poisson process; Poisson distribution; Mathematics; Applied mathematics; Generalization; Compound Poisson distribution; Fractional calculus; Exponential function; Phase-type distribution; Exponential distribution; Markov process; Counting process; Poisson process; Mathematical analysis; Poisson regression; Statistics","authors":[{"name":"Nick Laskin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1221629333010942,"gpt":0.4397849128229801,"spread":0.317621979521886,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000856324,0.0005931586,0.0009770734,0.001717186,0.001150833,0.002548566,0.0008359469,0.002010285,0.01680982],"category_scores_gemma":[0.004773079,0.000276695,0.0009060481,0.001313782,0.001524172,0.002236342,0.0015046,0.001542769,0.00204123],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001260561,"about_ca_system_score_gemma":0.0007235066,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001035094,"about_ca_topic_score_gemma":0.0003623596,"domain_scores_codex":[0.9995095,0.00009907611,0.00002689383,0.00009755859,0.0001990406,0.00006796775],"domain_scores_gemma":[0.9989864,0.0002967951,0.0001348309,0.0001847585,0.0002674915,0.0001297032],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000263604,0.00001567631,0.0001255171,0.00002844482,0.00000987328,0.000126203,0.00005734155,0.004337166,0.001221911,0.9857086,0.002228059,0.006114787],"study_design_scores_gemma":[0.00002252275,0.00002568091,0.0003723269,0.00002576977,0.0000253792,0.0005078241,0.00007582684,0.109098,0.001995481,0.864958,0.02286165,0.00003167324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1025992,0.00521326,0.6084269,0.01033305,0.007165178,0.0001115105,0.0005510032,0.000745197,0.2648547],"genre_scores_gemma":[0.8519027,0.003379823,0.02186143,0.00103888,0.002069494,0.00007916288,0.0003384623,0.0001564174,0.1191737],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01680982,"threshold_uncertainty_score":0.05623448,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2555458625","doi":"10.1016/j.camwa.2016.11.012","title":"Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations","year":2016,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":286,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Type (biology); Differentiable function; Traveling wave; Fractional calculus; Burgers' equation; Partial differential equation; Nonlinear system; Mathematical analysis; Riccati equation; Transformation (genetics); First-order partial differential equation; Differential equation; Applied mathematics; Physics","authors":[{"name":"Xiao‐Jun Yang","is_ca":false},{"name":"Feng Gao","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08867066619730864,"gpt":0.3134291706979906,"spread":0.224758504500682,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004615377,0.0006110706,0.0005935998,0.00103882,0.0005818342,0.001557348,0.0007196814,0.001455549,0.005626377],"category_scores_gemma":[0.001694435,0.0002233218,0.0005827417,0.0006984483,0.001272036,0.002250484,0.001090231,0.00116158,0.0004353688],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007255839,"about_ca_system_score_gemma":0.0005247149,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001007299,"about_ca_topic_score_gemma":0.0007660923,"domain_scores_codex":[0.9998982,0.00002452085,0.00000741874,0.00001155562,0.00003388712,0.00002447595],"domain_scores_gemma":[0.9997849,0.00006404959,0.00003502379,0.00001820226,0.00005740295,0.00004039591],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001208487,0.00005575304,0.000327872,0.0001263231,0.00002888375,0.0003494139,0.0004543287,0.02309513,0.01112606,0.9494194,0.001125986,0.01376989],"study_design_scores_gemma":[0.0001081014,0.00007951425,0.0005227535,0.00003967431,0.00002446579,0.0003673554,0.0004102904,0.4463462,0.002422446,0.5467072,0.002919713,0.00005222101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6285435,0.002229604,0.3148469,0.001684607,0.0003568522,0.00008287813,0.0001799259,0.0001672735,0.05190842],"genre_scores_gemma":[0.9321855,0.001198742,0.03211146,0.0002254862,0.0001776924,0.00008136257,0.0001817788,0.00005693908,0.03378109],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005626377,"threshold_uncertainty_score":0.01882213,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2566889043","doi":"10.1016/j.apm.2016.12.008","title":"An efficient analytical technique for fractional model of vibration equation","year":2016,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":219,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Laplace transform; Vibration; Applied mathematics; Homotopy analysis method; Mathematics; Fractional calculus; Decomposition method (queueing theory); Laplace's equation; Work (physics); Mathematical optimization; Homotopy; Mathematical analysis; Computer science; Partial differential equation; Engineering; Physics; Mechanical engineering","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Devendra Kumar","is_ca":false},{"name":"Jagdev Singh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1467314145073064,"gpt":0.3459538031251772,"spread":0.1992223886178708,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004331882,0.0007146008,0.000785423,0.0007940684,0.0007260989,0.0006326401,0.0008934005,0.0008248259,0.002506246],"category_scores_gemma":[0.0009697594,0.0002791082,0.0009845893,0.0006339088,0.0004997975,0.001079126,0.0007977453,0.001181344,0.0007433529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003998274,"about_ca_system_score_gemma":0.0005129273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001106822,"about_ca_topic_score_gemma":0.001205733,"domain_scores_codex":[0.9998327,0.0000543331,0.00001051456,0.00002265165,0.00006437759,0.00001537055],"domain_scores_gemma":[0.9998339,0.0000704705,0.00001345057,0.0000237692,0.00004892329,0.000009452826],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008608628,0.0001153025,0.0004109054,0.0005147675,0.00009942005,0.0005154233,0.0004982279,0.1544697,0.06428739,0.5980433,0.005086706,0.1758727],"study_design_scores_gemma":[0.00001206532,0.00004458961,0.0001364455,0.00002523567,0.00003620756,0.0002428962,0.00003943141,0.9197679,0.003734111,0.06469164,0.01124787,0.00002154552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003104162,0.000313747,0.9928149,0.00007313257,0.0000983747,0.00002294325,0.00001717765,0.00007712363,0.003478438],"genre_scores_gemma":[0.3426034,0.002171329,0.632539,0.0002027461,0.0003680991,0.0003290293,0.0001484753,0.0002148659,0.02142303],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002506246,"threshold_uncertainty_score":0.008384287,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2040535359","doi":"10.1016/j.camwa.2006.12.066","title":"The three-dimensional flow past a stretching sheet and the homotopy perturbation method","year":2007,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":205,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity Western University; Western University","funders":"","keywords":"Mathematics; Homotopy analysis method; Laminar flow; Homotopy perturbation method; Perturbation (astronomy); Mathematical analysis; Boundary value problem; Flow (mathematics); Compressibility; Exact solutions in general relativity; Homotopy; Applied mathematics; Mechanics; Geometry; Physics; Pure mathematics","authors":[{"name":"P. D. Ariel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02326252381735356,"gpt":0.2988150029853824,"spread":0.2755524791680288,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006118058,0.0007488361,0.0008480666,0.001559497,0.0009319902,0.001488303,0.001184066,0.001341665,0.0038559],"category_scores_gemma":[0.001456017,0.0003393505,0.000879895,0.0007518564,0.002052135,0.002265533,0.001860137,0.001855787,0.0004472809],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008460008,"about_ca_system_score_gemma":0.0007055569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002185791,"about_ca_topic_score_gemma":0.0008239932,"domain_scores_codex":[0.9998469,0.00007080184,0.000006028932,0.00001854639,0.00003939224,0.00001822705],"domain_scores_gemma":[0.9997813,0.00008182036,0.00002936541,0.00002181827,0.00004164136,0.0000441549],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001083186,0.0000625993,0.00020883,0.0001203663,0.00004021824,0.0002038197,0.0002108043,0.07944133,0.004630573,0.8959996,0.001336579,0.01763698],"study_design_scores_gemma":[0.00002957216,0.00004013591,0.0002710723,0.00002601372,0.0000160157,0.00009970567,0.00006971147,0.5702006,0.0007558815,0.4249404,0.003518635,0.00003231069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1545716,0.00396986,0.7674105,0.002564966,0.001179978,0.0001691566,0.0001625995,0.0003432728,0.06962809],"genre_scores_gemma":[0.7915434,0.003342451,0.1343735,0.000584905,0.0007853554,0.0001950939,0.0001580241,0.000266748,0.06875046],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0038559,"threshold_uncertainty_score":0.01289934,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963520255","doi":"10.28924/2291-8639-16-2018-83","title":"A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":195,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"","funders":"","keywords":"Fractional calculus; Mathematics; Differentiable function; Type (biology); Derivative (finance); Generalizations of the derivative; Order (exchange); Differential operator; Pure mathematics; Integer (computer science); BETA (programming language); Fréchet derivative; Mathematical analysis; Banach space","authors":[{"name":"J. Vanterler da C. Sousa","is_ca":false},{"name":"E. Capelas de Oliveira","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05504910649021984,"gpt":0.3390609098558286,"spread":0.2840118033656088,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001075623,0.0006988845,0.0008495107,0.0020343,0.0008683632,0.002327564,0.001188839,0.001393518,0.004234747],"category_scores_gemma":[0.003055123,0.0002607454,0.001660979,0.001537339,0.001878965,0.003978474,0.001362775,0.001752683,0.000686454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001102904,"about_ca_system_score_gemma":0.0009813434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009621081,"about_ca_topic_score_gemma":0.0006070571,"domain_scores_codex":[0.999449,0.00008646952,0.00005181641,0.0001253525,0.0002155491,0.00007180035],"domain_scores_gemma":[0.999185,0.0002210059,0.0001798562,0.0001368038,0.0001961177,0.00008124492],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004302373,0.00002004185,0.0005609476,0.00009103936,0.00001477101,0.0002824498,0.0001536021,0.006964455,0.00765189,0.9587893,0.001106701,0.02432179],"study_design_scores_gemma":[0.00002042742,0.00008029641,0.0005618735,0.00006276044,0.00003331224,0.0008124652,0.00009407219,0.1349989,0.004445801,0.8306627,0.02816345,0.00006386043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03537811,0.001300902,0.9395708,0.0006553592,0.0007082468,0.00004894729,0.0001547799,0.0002363588,0.02194648],"genre_scores_gemma":[0.6146233,0.002538168,0.3497876,0.001119524,0.001489052,0.0001975884,0.0002992518,0.0003187366,0.02962684],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004234747,"threshold_uncertainty_score":0.01416671,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W205381016","doi":"","title":"ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS","year":2008,"lang":"en","type":"article","venue":"Journal of Computational Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":192,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Volterra integral equation; Mathematics; Collocation method; Applied mathematics; Integral equation; Legendre polynomials; Convergence (economics); Exponential function; Collocation (remote sensing); Spectral method; Rate of convergence; Kernel (algebra); Function (biology); Error analysis; Mathematical analysis; Computer science; Differential equation","authors":[{"name":"Tao Tang","is_ca":true},{"name":"Xiang Xu","is_ca":false},{"name":"Jin Cheng","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1108183388426827,"gpt":0.419632643223033,"spread":0.3088143043803502,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002995064,0.001113534,0.0007072328,0.001711309,0.0006575568,0.001018893,0.0008189771,0.001383569,0.00193397],"category_scores_gemma":[0.007766898,0.0003259273,0.001011393,0.001134891,0.002569261,0.001974021,0.001774796,0.002292274,0.0007591387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006809115,"about_ca_system_score_gemma":0.0007410065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001381857,"about_ca_topic_score_gemma":0.0008257535,"domain_scores_codex":[0.9988179,0.0006278802,0.00005708954,0.00007719001,0.0003783198,0.00004177493],"domain_scores_gemma":[0.9972063,0.001903197,0.00015571,0.0001865964,0.000485174,0.00006310725],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003187447,0.00005482,0.000226496,0.0003399726,0.00003811023,0.0001285585,0.0002825863,0.09033413,0.007104631,0.8681684,0.00113146,0.03215888],"study_design_scores_gemma":[0.000009842835,0.00003505712,0.0001319619,0.00009672625,0.00001068935,0.0001331737,0.00004070349,0.7308485,0.0022541,0.2605632,0.005845706,0.00003043087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005882908,0.00188334,0.9855331,0.0003107928,0.0001642018,0.00002991858,0.00001834647,0.00005266833,0.006124813],"genre_scores_gemma":[0.34415,0.008522539,0.6288767,0.0005430722,0.000805442,0.0004028662,0.0001617951,0.0004054884,0.01613198],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002995064,"threshold_uncertainty_score":0.01583958,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4206392762","doi":"10.3390/math10020165","title":"Fractional-Order Discrete-Time SIR Epidemic Model with Vaccination: Chaos and Complexity","year":2022,"lang":"en","type":"article","venue":"Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":180,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"King Abdulaziz University","keywords":"Lyapunov exponent; Mathematics; Epidemic model; Approximate entropy; Fractional calculus; Attractor; Chaotic; Statistical physics; Bifurcation; Hurst exponent; Applied mathematics; Range (aeronautics); Mathematical analysis; Nonlinear system; Physics; Computer science; Statistics; Time series","authors":[{"name":"Zai-Yin He","is_ca":false},{"name":"Abderrahmane Abbes","is_ca":false},{"name":"Hadi Jahanshahi","is_ca":true},{"name":"Naif D. Alotaibi","is_ca":false},{"name":"Ye Wang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1003018211297168,"gpt":0.3287900911148161,"spread":0.2284882699850992,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003284449,0.0004197593,0.0007354274,0.0004711587,0.0004343994,0.0007587709,0.0008033944,0.0009668588,0.001193745],"category_scores_gemma":[0.0008319471,0.000185935,0.0009142124,0.0003345671,0.0006061398,0.0008425267,0.0005162915,0.0006038239,0.0001117664],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006675975,"about_ca_system_score_gemma":0.0006172159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004225937,"about_ca_topic_score_gemma":0.002159944,"domain_scores_codex":[0.9997858,0.00005785234,0.00001247258,0.00004164318,0.00005445334,0.00004768316],"domain_scores_gemma":[0.9997318,0.00009585321,0.00008048406,0.00002161746,0.00004033891,0.00002993754],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000957096,0.00006517349,0.002799118,0.00009357776,0.0000756724,0.0005902568,0.0001540596,0.8944204,0.00938667,0.08561328,0.0005380391,0.00616801],"study_design_scores_gemma":[0.000008878877,0.000027909,0.0003327366,0.000003403019,0.00001641189,0.00006811578,0.00001312488,0.9927826,0.0003381263,0.005968485,0.0004323626,0.000007782779],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4741347,0.001084181,0.4979862,0.001299455,0.0002277527,0.00009366162,0.0003673774,0.0002264966,0.02458012],"genre_scores_gemma":[0.9834784,0.0003352202,0.009841425,0.00005724969,0.00004518599,0.00005595637,0.00007280776,0.00001043226,0.006103356],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004225937,"threshold_uncertainty_score":0.008402705,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1879952215","doi":"10.1023/a:1021175108964","title":"On fractional kinetic equations","year":2002,"lang":"en","type":"article","venue":"Astrophysics and Space Science","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":178,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Extension (predicate logic); Fractional calculus; Mathematics; Function (biology); Applied mathematics; Mathematical analysis; Computer science","authors":[{"name":"R. K. Saxena","is_ca":false},{"name":"A. M. Mathai","is_ca":true},{"name":"H. J. Haubold","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05153903972441487,"gpt":0.2966440074379964,"spread":0.2451049677135815,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008936453,0.001193594,0.001308778,0.002400346,0.001765383,0.002627231,0.0009798164,0.002228163,0.007303362],"category_scores_gemma":[0.002263065,0.0003306611,0.001159706,0.001603318,0.002763407,0.005413969,0.001955652,0.002649771,0.0007903395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002036258,"about_ca_system_score_gemma":0.0007775172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001730702,"about_ca_topic_score_gemma":0.0008529376,"domain_scores_codex":[0.9996991,0.00009600954,0.000019255,0.00003784758,0.00009647111,0.00005125702],"domain_scores_gemma":[0.9995838,0.0001399747,0.00005799475,0.00005669519,0.00009577744,0.0000657608],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004483843,0.000005818838,0.00001592747,0.00001698259,0.000003355141,0.00002099633,0.00005238593,0.0003435532,0.0001717081,0.996857,0.001194056,0.001313569],"study_design_scores_gemma":[0.000005154324,0.000002829767,0.00004470962,0.00001139912,0.000003740343,0.00004160779,0.00002474899,0.002469845,0.0000709897,0.9922955,0.005024693,0.000004782106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1500538,0.02942555,0.1908814,0.03932299,0.01253845,0.00007285338,0.0004163219,0.0003906659,0.5768979],"genre_scores_gemma":[0.7814823,0.0137379,0.01836221,0.003464574,0.008456642,0.0000843466,0.0003671116,0.0002884692,0.1737564],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007303362,"threshold_uncertainty_score":0.02443218,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2130516758","doi":"10.1063/1.1318734","title":"Fractional Fokker–Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises","year":2001,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":176,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Uniqueness; Stochastic differential equation; Fractional Brownian motion; Nonlinear system; Differential equation; Stochastic partial differential equation; Noise (video); Distribution (mathematics); Markov process","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.06780525140296409,"gpt":0.335092594101046,"spread":0.2672873426980819,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001358225,0.0007223152,0.0009409756,0.001111697,0.0009747465,0.001361672,0.001052639,0.002500827,0.001507832],"category_scores_gemma":[0.005081206,0.0003529396,0.001287919,0.0007351433,0.002645458,0.002167122,0.001537022,0.001332829,0.0002251498],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001623002,"about_ca_system_score_gemma":0.00142071,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004500716,"about_ca_topic_score_gemma":0.002093103,"domain_scores_codex":[0.9995264,0.0001140304,0.00003330034,0.00008676435,0.000168263,0.00007130509],"domain_scores_gemma":[0.9989698,0.0005015461,0.0002273387,0.00006498348,0.0001479573,0.00008842205],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003745357,0.00002880747,0.0009673301,0.00008662528,0.00004124886,0.0005058331,0.0002830278,0.1056304,0.006729417,0.8805979,0.0009005104,0.004191343],"study_design_scores_gemma":[0.00002013082,0.00001351532,0.0005388494,0.00001520195,0.00001470304,0.0001634954,0.00004095962,0.7753863,0.0007895355,0.2216754,0.001315116,0.00002682337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1448852,0.001625198,0.8340549,0.004285682,0.0003592989,0.00007294026,0.0002560897,0.0001588234,0.01430184],"genre_scores_gemma":[0.9123585,0.002176085,0.06173003,0.0007188864,0.0005433772,0.0002090703,0.0002711985,0.00008911283,0.02190385],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004500716,"threshold_uncertainty_score":0.01177579,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2957796817","doi":"10.1186/s13662-019-2199-9","title":"A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying","year":2019,"lang":"en","type":"article","venue":"Advances in Difference Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":174,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Institute of Population and Public Health; King Saud University","keywords":"Malaria; Uniqueness; Ordinary differential equation; Mathematics; Disease; Medicine; Applied mathematics; Immunology; Differential equation; Internal medicine; Mathematical analysis","authors":[{"name":"Devendra Kumar","is_ca":false},{"name":"Jagdev Singh","is_ca":false},{"name":"Maysaa Al Qurashi","is_ca":false},{"name":"Dumitru Bǎleanu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01976301927638994,"gpt":0.3052945197191155,"spread":0.2855315004427255,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003785572,0.000552995,0.0009384369,0.0005347923,0.0005035402,0.0008549963,0.001346903,0.001430063,0.002334452],"category_scores_gemma":[0.0007296,0.0002601855,0.001205,0.0006959122,0.000890055,0.0009714429,0.0006651708,0.0008792803,0.0001949824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007429655,"about_ca_system_score_gemma":0.0009232594,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007387088,"about_ca_topic_score_gemma":0.003608983,"domain_scores_codex":[0.999788,0.00005354613,0.00001304618,0.00004693635,0.0000457813,0.00005280322],"domain_scores_gemma":[0.9997514,0.00007127062,0.00007084046,0.00001845629,0.00005344377,0.00003472601],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001100913,0.00007438182,0.001619589,0.0001754762,0.00007887855,0.0006723149,0.0001749053,0.8438306,0.008329293,0.1352188,0.001661907,0.008053718],"study_design_scores_gemma":[0.00001745801,0.00004544316,0.0002308776,0.000006277119,0.00002025471,0.00008485741,0.00002692092,0.9911986,0.0003189543,0.006894712,0.001144917,0.00001073555],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2768717,0.002082057,0.6596822,0.002736429,0.0007236006,0.0001157826,0.0008763517,0.0003180016,0.05659377],"genre_scores_gemma":[0.9494368,0.001028118,0.02353294,0.0002463562,0.0001644552,0.0001263959,0.0002560517,0.00002349819,0.02518538],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007387088,"threshold_uncertainty_score":0.01468819,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1983396466","doi":"10.1016/j.aml.2009.05.011","title":"Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative","year":2009,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":173,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Laplace transform; Fractional calculus; Two-sided Laplace transform; Inverse Laplace transform; Mellin transform; Differentiable function; Laplace–Stieltjes transform; Post's inversion formula; Laplace transform applied to differential equations; Mathematical analysis; Order (exchange); Derivative (finance); Fractal; Green's function for the three-variable Laplace equation; Applied mathematics; Fractional Fourier transform; Fourier transform; Fourier analysis","authors":[{"name":"Guy Jumarie","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02606183220058892,"gpt":0.2643492478516563,"spread":0.2382874156510674,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001165834,0.0007871853,0.000755145,0.002233179,0.0006893435,0.002938223,0.000772314,0.002012368,0.004908288],"category_scores_gemma":[0.004005685,0.0003834628,0.0007236735,0.001109249,0.0022714,0.004143364,0.001014119,0.002172995,0.0008047754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001562408,"about_ca_system_score_gemma":0.0006709945,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001095852,"about_ca_topic_score_gemma":0.0005323056,"domain_scores_codex":[0.999658,0.000112231,0.00001983386,0.00005632645,0.0001060798,0.0000475937],"domain_scores_gemma":[0.9991536,0.0003562759,0.0001239148,0.00008684405,0.0001770323,0.0001023835],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003380899,0.00001803246,0.0001174501,0.00002351811,0.000006818127,0.0001261999,0.000183244,0.003382589,0.003473334,0.988111,0.0004074747,0.004116616],"study_design_scores_gemma":[0.00002159141,0.00002769522,0.0002991035,0.00001852281,0.000009937026,0.0002698691,0.00007362087,0.07414176,0.001896757,0.9198672,0.003329945,0.00004402463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3428334,0.005035873,0.5395891,0.005320126,0.001182656,0.00005945779,0.0001863433,0.0005133169,0.1052797],"genre_scores_gemma":[0.9352475,0.001632404,0.02923529,0.0005247783,0.0008849746,0.00003382161,0.00009138063,0.0001688241,0.03218102],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004908288,"threshold_uncertainty_score":0.01641989,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2602496407","doi":"10.1186/s13662-017-1139-9","title":"A new fractional model for giving up smoking dynamics","year":2017,"lang":"en","type":"article","venue":"Advances in Difference Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":166,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Institute of Population and Public Health; King Saud University","keywords":"Mathematics; Fractional calculus; Uniqueness; Derivative (finance); Applied mathematics; Ordinary differential equation; Kernel (algebra); Partial differential equation; Mathematical analysis; Work (physics); Differential equation; Pure mathematics; Physics","authors":[{"name":"Jagdev Singh","is_ca":false},{"name":"Devendra Kumar","is_ca":false},{"name":"Maysaa Al Qurashi","is_ca":false},{"name":"Dumitru Bǎleanu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1132944028186322,"gpt":0.40606790156324,"spread":0.2927734987446078,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000583189,0.0004740509,0.0007733337,0.0006279647,0.001023785,0.001431026,0.001553132,0.002138449,0.00410221],"category_scores_gemma":[0.001388825,0.0002689745,0.001248997,0.0004792689,0.00155039,0.001733086,0.001006683,0.001208,0.0003379641],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009646082,"about_ca_system_score_gemma":0.0008268637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004959378,"about_ca_topic_score_gemma":0.002525399,"domain_scores_codex":[0.9997248,0.00006831737,0.00001222725,0.00006192909,0.00005585721,0.00007671159],"domain_scores_gemma":[0.999656,0.00009104686,0.00007680702,0.00003650455,0.0000587961,0.00008086709],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001826954,0.0002023885,0.004846114,0.0001578973,0.00008300213,0.001569681,0.0006183517,0.4140948,0.01920867,0.5453842,0.001703918,0.01194828],"study_design_scores_gemma":[0.00002760604,0.00007384364,0.0008565183,0.00001543937,0.0000358476,0.0003718646,0.00009980292,0.9525598,0.0009655097,0.04317086,0.001784304,0.0000387664],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5339807,0.0008957792,0.4237965,0.002190639,0.0004207556,0.0001082147,0.0002129565,0.0003009,0.03809354],"genre_scores_gemma":[0.9744451,0.0003198216,0.009057053,0.0001360081,0.00005389567,0.00004441356,0.00003812191,0.00002233378,0.01588317],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004959378,"threshold_uncertainty_score":0.01372325,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2755985677","doi":"10.1021/acs.biomac.7b00809","title":"A Rheological Study of the Association and Dynamics of MUC5AC Gels","year":2017,"lang":"en","type":"article","venue":"Biomacromolecules","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":158,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Materials Research; National Institute of Biomedical Imaging and Bioengineering; National Institute of Environmental Health Sciences; National Heart, Lung, and Blood Institute; Division of Physics; Burroughs Wellcome Fund; Cystic Fibrosis Foundation; Natural Sciences and Engineering Research Council of Canada","keywords":"Mucin; Rheology; Microrheology; Viscoelasticity; Mucus; Self-healing hydrogels; Polymer; Micrometer; Chemistry; Biophysics; Pulmonary surfactant; Particle (ecology); Chemical engineering; Materials science; Chemical physics; Nanotechnology; Polymer science; Polymer chemistry; Composite material; Biochemistry; Physics; Biology; Optics","authors":[{"name":"Caroline E. Wagner","is_ca":false},{"name":"Bradley S. Turner","is_ca":false},{"name":"Michael Rubinstein","is_ca":false},{"name":"Gareth H. McKinley","is_ca":false},{"name":"Katharina Ribbeck","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05225635894501926,"gpt":0.3353052887119508,"spread":0.2830489297669315,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000196887,0.0001694938,0.00016167,0.0003198519,0.0001936505,0.0001902879,0.0001527169,0.0001876506,0.0009105891],"category_scores_gemma":[0.0003353751,0.00008682401,0.0001532993,0.0002031546,0.0002594188,0.0002799736,0.0001604376,0.0003657826,0.0001234949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001201979,"about_ca_system_score_gemma":0.0001045185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007222738,"about_ca_topic_score_gemma":0.0004365995,"domain_scores_codex":[0.9999236,0.000008400656,0.000004419031,0.0000253831,0.00002118319,0.00001701367],"domain_scores_gemma":[0.9998795,0.00003336303,0.00003255713,0.00001153746,0.00001968618,0.00002341431],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00003513429,0.00001283526,0.0007118034,0.00002736838,0.000006283663,0.00005020718,0.00005948438,0.0003930232,0.9959415,0.0002006463,0.00002539182,0.002536356],"study_design_scores_gemma":[0.00001700343,0.0004876352,0.04595491,0.00003453726,0.00004026717,0.0003652274,0.0001468881,0.05784857,0.891149,0.0003720649,0.003544748,0.00003922074],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9902028,0.0007197137,0.007620485,0.00005778511,0.00001318072,0.00001497645,0.00009645619,0.00004362852,0.001230898],"genre_scores_gemma":[0.9960176,0.0003097951,0.002913917,0.00001944083,0.00000870571,0.000009040514,0.00007212089,0.000008389799,0.0006409012],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0009105891,"threshold_uncertainty_score":0.003046215,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1971062640","doi":"10.1016/j.aml.2015.02.024","title":"Local fractional similarity solution for the diffusion equation defined on Cantor sets","year":2015,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":152,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Fractional calculus; Similarity (geometry); Differentiable function; Mathematical analysis; Fractal; Diffusion; Ordinary differential equation; Operator (biology); Pure mathematics; Differential equation","authors":[{"name":"Xiao‐Jun Yang","is_ca":false},{"name":"Dumitru Bǎleanu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1258608452311622,"gpt":0.3204835710235841,"spread":0.1946227257924219,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008781926,0.00086583,0.001155349,0.002686681,0.001432245,0.002603067,0.001177241,0.001740885,0.004205517],"category_scores_gemma":[0.004065034,0.0002705166,0.0008294525,0.0009226798,0.002781674,0.002741251,0.002214732,0.001993079,0.0002668374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00292552,"about_ca_system_score_gemma":0.001163697,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003740696,"about_ca_topic_score_gemma":0.002111005,"domain_scores_codex":[0.9996225,0.0000941614,0.00002004747,0.00006291709,0.000117838,0.00008255056],"domain_scores_gemma":[0.9984568,0.000518729,0.0003106005,0.00007352229,0.0003175423,0.0003226785],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005609199,0.00003270925,0.0003425887,0.0000543372,0.00002313863,0.0001739422,0.000188348,0.008647225,0.004638252,0.9824421,0.0005286905,0.002872678],"study_design_scores_gemma":[0.00006885995,0.00007498324,0.001025221,0.00003569594,0.000029665,0.0003855099,0.000381775,0.330582,0.002608067,0.6625673,0.002160622,0.00008027015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.697615,0.001803536,0.2581951,0.003187729,0.0005665668,0.00006600703,0.0001631636,0.0001643116,0.03823862],"genre_scores_gemma":[0.9706443,0.0005583179,0.01089014,0.0001973672,0.0002132156,0.00004668857,0.0001089648,0.00004822081,0.0172927],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004205517,"threshold_uncertainty_score":0.02122623,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068791033","doi":"10.1016/j.camwa.2011.07.054","title":"Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method","year":2011,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":152,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke","funders":"Université de Sherbrooke","keywords":"Hagen–Poiseuille equation; Couette flow; Mathematics; Flow (mathematics); Plane (geometry); Mathematical analysis; Differential equation; Newtonian fluid; Differential (mechanical device); Nonlinear system; Geometry; Mechanics; Physics","authors":[{"name":"M. Keimanesh","is_ca":false},{"name":"Mohammad Mehdi Rashidi","is_ca":false},{"name":"Ali J. Chamkha","is_ca":false},{"name":"Reza Jafari","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1504481960851226,"gpt":0.3694528570022743,"spread":0.2190046609171517,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000331705,0.000453163,0.0007844047,0.0006434335,0.0007482094,0.0009420413,0.0007141859,0.001228712,0.001914107],"category_scores_gemma":[0.0009492818,0.0002105489,0.0008014724,0.0003008847,0.001367437,0.0009374915,0.0007412015,0.0008629548,0.0001129611],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004139912,"about_ca_system_score_gemma":0.0008808664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003163918,"about_ca_topic_score_gemma":0.001124835,"domain_scores_codex":[0.999884,0.00003152359,0.000004302996,0.00002115048,0.00003985917,0.00001925048],"domain_scores_gemma":[0.9995368,0.0002526512,0.00006376027,0.00001931391,0.00007799982,0.00004951808],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002975256,0.0003584697,0.003285544,0.0004264849,0.0001163931,0.002565288,0.000464605,0.7895542,0.0587219,0.1275919,0.0007289494,0.01588878],"study_design_scores_gemma":[0.00001019628,0.00005341636,0.0004077765,0.000005895768,0.000009181239,0.0001117453,0.00003726425,0.9953496,0.001878443,0.001794103,0.0003313294,0.00001102884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5784239,0.0008003038,0.4013946,0.0005825309,0.0002539993,0.0001272446,0.000071775,0.0001333059,0.01821228],"genre_scores_gemma":[0.9699723,0.0002250728,0.02303264,0.00003454431,0.00004770653,0.00003510133,0.00002724798,0.00002547228,0.006599906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003163918,"threshold_uncertainty_score":0.006403327,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3037992656","doi":"10.1515/fca-2020-0032","title":"Why Fractional Derivatives with Nonsingular Kernels Should Not Be Used","year":2020,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":144,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Bishop's University","funders":"","keywords":"Invertible matrix; Fractional calculus; Kernel (algebra); Derivative (finance); Convolution (computer science); Integer (computer science); Integration by parts; Convolution theorem","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.1013989583688739,"gpt":0.3207395773526052,"spread":0.2193406189837313,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006881626,0.0005310387,0.001024366,0.001194109,0.002582441,0.004730538,0.00156992,0.006918225,0.004303525],"category_scores_gemma":[0.04591172,0.0004577822,0.0007731433,0.000843618,0.01053185,0.01186804,0.002138044,0.006041606,0.002013611],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001268609,"about_ca_system_score_gemma":0.001801323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002506667,"about_ca_topic_score_gemma":0.001292661,"domain_scores_codex":[0.995589,0.001227306,0.0004484623,0.0006890122,0.001519628,0.0005264917],"domain_scores_gemma":[0.9817663,0.008967713,0.001107562,0.00422175,0.003270699,0.0006660728],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009871074,0.0000504446,0.001074902,0.0001886492,0.00004055151,0.0004138057,0.001001393,0.001077688,0.002133534,0.9362072,0.02143122,0.03628194],"study_design_scores_gemma":[0.00002227354,0.00001379915,0.000320628,0.0001086473,0.00002015642,0.0004263398,0.000363305,0.003559192,0.001904661,0.97213,0.02110144,0.00002956485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1379815,0.01590584,0.3531191,0.3438548,0.01451303,0.00009324765,0.0002398076,0.001822236,0.1324703],"genre_scores_gemma":[0.875259,0.00332819,0.07336222,0.02084584,0.002933113,0.00006061255,0.00006395041,0.000986889,0.02316023],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006918225,"threshold_uncertainty_score":0.03639394,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4238188161","doi":"10.55579/jaec.202153.340","title":"An Introductory Overview of Fractional-Calculus Operators Based Upon the Fox-Wright and Related Higher Transcendental Functions","year":2021,"lang":"en","type":"article","venue":"Journal of Advanced Engineering and Computation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":141,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Fractional calculus; Calculus (dental); Variety (cybernetics); Wright; Computer science; Mathematics; Applied mathematics; Artificial intelligence","authors":[{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02414216865566742,"gpt":0.2959549320929873,"spread":0.2718127634373199,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000519702,0.001010291,0.0007273961,0.00249829,0.0006053699,0.001324071,0.0005531713,0.001254387,0.007879472],"category_scores_gemma":[0.000839724,0.000294585,0.0008292854,0.002347739,0.0008777329,0.002580246,0.0007035855,0.002132692,0.002704531],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006375679,"about_ca_system_score_gemma":0.0005823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008213064,"about_ca_topic_score_gemma":0.0005539635,"domain_scores_codex":[0.9998239,0.00004816271,0.00001731734,0.00004248091,0.00004728276,0.00002094062],"domain_scores_gemma":[0.9997432,0.0001716222,0.00001955833,0.00001578439,0.00003784232,0.00001197484],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003095288,0.00008288129,0.0004307296,0.00287809,0.00002756734,0.0003692975,0.0007269055,0.002680433,0.003600316,0.7999372,0.03957673,0.1496589],"study_design_scores_gemma":[0.000003204333,0.00008427376,0.000976031,0.0007368157,0.00002638188,0.001307163,0.0001624658,0.002889246,0.0007222461,0.2653667,0.7276843,0.00004117187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"review","genre_gemma":"empirical","genre_scores_codex":[0.007271941,0.7133375,0.1291804,0.003697627,0.005091584,0.00008697362,0.0005078071,0.00025694,0.1405692],"genre_scores_gemma":[0.07994799,0.7807066,0.07102361,0.003379784,0.01263151,0.0001997917,0.0007337693,0.0002028901,0.05117406],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007879472,"threshold_uncertainty_score":0.02635944,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4396870924","doi":"10.1007/s11071-024-09653-1","title":"Modeling and analysis of the fractional-order epidemic model to investigate mutual influence in HIV/HCV co-infection","year":2024,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":134,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Scientific Research and Technology Development Program of Guangxi; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Fractional calculus; Human immunodeficiency virus (HIV); Basic reproduction number; Hepatitis C virus; Mathematics; Applied mathematics; Lyapunov function; TRACE (psycholinguistics); Computer science; Virology; Medicine; Virus; Physics; Population; Environmental health","authors":[{"name":"Parvaiz Ahmad Naik","is_ca":false},{"name":"Bijal M. Yeolekar","is_ca":false},{"name":"Sania Qureshi","is_ca":false},{"name":"Mahesh A. Yeolekar","is_ca":false},{"name":"Anotida Madzvamuse","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05053954541244798,"gpt":0.3582144338092651,"spread":0.3076748883968171,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005548891,0.0005782901,0.001101737,0.0008149931,0.0009349773,0.001096228,0.001097638,0.001465312,0.001441658],"category_scores_gemma":[0.001388407,0.0002836639,0.001092297,0.0005159985,0.0006432383,0.0009450733,0.0009466169,0.0007214689,0.00009116418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001129054,"about_ca_system_score_gemma":0.001294616,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.02023626,"about_ca_topic_score_gemma":0.009815307,"domain_scores_codex":[0.9997783,0.00006508033,0.000008986785,0.00003587724,0.00004210562,0.00006976009],"domain_scores_gemma":[0.9994842,0.0002563688,0.0001116763,0.0000165278,0.00007813724,0.00005303523],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003310189,0.00005809496,0.00188804,0.00004158243,0.00005169152,0.0002264774,0.00009197714,0.9591203,0.001850305,0.03365421,0.000348737,0.002635436],"study_design_scores_gemma":[0.000001521975,0.000005233411,0.0001169961,0.000001411102,0.000007506451,0.00001225281,0.000009878964,0.9978573,0.00005225314,0.001847972,0.00008490999,0.000002730492],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5308871,0.001707933,0.4426208,0.001769985,0.0002510794,0.00008929312,0.0002195749,0.0001503833,0.02230394],"genre_scores_gemma":[0.9907174,0.0003045306,0.004721427,0.00005425266,0.00004386138,0.00003341218,0.00003534978,0.00001200678,0.004077883],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02023626,"threshold_uncertainty_score":0.04023695,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2883208200","doi":"10.1016/j.cnsns.2018.07.035","title":"Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions","year":2018,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":134,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Fractional calculus; Mathematics; Series (stratigraphy); Power series; Semigroup; Product (mathematics); Connection (principal bundle); Applied mathematics; Calculus (dental); Algebra over a field; Pure mathematics; Mathematical analysis","authors":[{"name":"Arran Fernandez","is_ca":false},{"name":"Dumitru Bǎleanu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1416202009398115,"gpt":0.4314013336881285,"spread":0.289781132748317,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001577797,0.00154048,0.00111216,0.003198332,0.001164588,0.003896723,0.001580627,0.002579314,0.007512999],"category_scores_gemma":[0.004734299,0.0004127456,0.001350737,0.002384102,0.002741764,0.004467973,0.001701579,0.002576018,0.00137312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001354133,"about_ca_system_score_gemma":0.0006884798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008559945,"about_ca_topic_score_gemma":0.0006976121,"domain_scores_codex":[0.9994165,0.0002019627,0.00003681679,0.0000615988,0.0001913124,0.00009185953],"domain_scores_gemma":[0.9987665,0.0004739627,0.0001630078,0.0001819889,0.0002436124,0.0001709856],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000026383,0.00002294095,0.00005410796,0.00003863733,0.000009882646,0.0001101371,0.0001547968,0.00411386,0.001785845,0.9885378,0.0005705054,0.004575014],"study_design_scores_gemma":[0.00001888203,0.00002249521,0.0001116883,0.00002165222,0.00001390315,0.0002053684,0.00008386322,0.1283652,0.001018966,0.8674901,0.002612061,0.00003582541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1800461,0.002528572,0.7254837,0.00171168,0.001509801,0.00009730306,0.0001825915,0.0005848226,0.08785558],"genre_scores_gemma":[0.8691313,0.002190225,0.07130174,0.0006301287,0.001290465,0.00014567,0.0002333118,0.0004477611,0.05462937],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007512999,"threshold_uncertainty_score":0.02513343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3029922973","doi":"10.1016/j.chaos.2020.109910","title":"An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model","year":2020,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":125,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Uniqueness; Fractional calculus; Population; Type (biology); Predation; Biology; Applied mathematics; Ecology; Mathematics; Biological system; Mathematical analysis","authors":[{"name":"Behzad Ghanbari","is_ca":false},{"name":"Hatıra Günerhan","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.102677612062707,"gpt":0.3476723282291619,"spread":0.2449947161664549,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003492135,0.0003923266,0.0006445459,0.0005255616,0.001008789,0.0009846996,0.000989304,0.00154894,0.001176072],"category_scores_gemma":[0.0008721902,0.0001537646,0.001106553,0.0004480025,0.0008026838,0.001056721,0.001407351,0.0006917706,0.00009704857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006069243,"about_ca_system_score_gemma":0.0006877807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003474986,"about_ca_topic_score_gemma":0.002729149,"domain_scores_codex":[0.9999282,0.00002725654,0.000004428798,0.00001308552,0.00001505002,0.00001195579],"domain_scores_gemma":[0.9998426,0.00006840796,0.00002287136,0.00001483008,0.00002303597,0.00002824486],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000064496,0.0001068526,0.002107279,0.0001457126,0.00008923344,0.0009521108,0.0004024637,0.2304598,0.009256693,0.7428616,0.001164725,0.01238899],"study_design_scores_gemma":[0.00001590963,0.00003256995,0.000371014,0.00001416137,0.00002968192,0.0002075878,0.0000637037,0.887277,0.0003540394,0.109956,0.00165865,0.00001972581],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4079464,0.003557697,0.5191246,0.003799837,0.000776119,0.00006261908,0.0001047443,0.000122843,0.06450499],"genre_scores_gemma":[0.966823,0.0008024785,0.02547703,0.000181637,0.0001063349,0.0000305011,0.00001789784,0.0000150172,0.00654601],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003474986,"threshold_uncertainty_score":0.00690949,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004864292","doi":"10.1016/j.cam.2005.06.028","title":"A pseudospectral method of solution of Fisher's equation","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":120,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Gauss pseudospectral method; Mathematics; Pseudospectral optimal control; Fisher equation; Chebyshev pseudospectral method; Pseudo-spectral method; Mathematical analysis; Partial differential equation; Sinc function; Collocation method; Differential equation; Applied mathematics; Chebyshev equation; Fourier transform; Fourier analysis; Ordinary differential equation; Orthogonal polynomials","authors":[{"name":"Daniel Olmos‐Liceaga","is_ca":true},{"name":"Bernie D. Shizgal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0581333387795828,"gpt":0.332970198128,"spread":0.2748368593484172,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000678819,0.0005838647,0.0007668023,0.001019197,0.0008284039,0.0009761103,0.001127495,0.001321788,0.004124633],"category_scores_gemma":[0.001548795,0.000313151,0.0009547581,0.0006167287,0.0009238938,0.001403378,0.001620713,0.001326068,0.000732797],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003989122,"about_ca_system_score_gemma":0.0009441228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001379197,"about_ca_topic_score_gemma":0.001269201,"domain_scores_codex":[0.9997415,0.0001243743,0.0000127823,0.00002483375,0.0000790038,0.00001756394],"domain_scores_gemma":[0.9996279,0.000132774,0.00002146543,0.00003680983,0.0001421782,0.00003888278],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00009949782,0.0001304145,0.0005052579,0.0003339608,0.00005858934,0.0001943988,0.0002379403,0.06920929,0.01199908,0.8517614,0.003176083,0.062294],"study_design_scores_gemma":[0.00002620652,0.00005196041,0.0001932013,0.00003313162,0.00001700343,0.000141913,0.00004354853,0.88618,0.001071795,0.1067588,0.005453684,0.0000287367],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02167,0.0007595073,0.9627062,0.0004125834,0.0004486926,0.00007807786,0.000061545,0.00009296386,0.01377053],"genre_scores_gemma":[0.3327118,0.00211179,0.6235466,0.0005388611,0.0005588523,0.0004710004,0.0002061084,0.0003251057,0.03952989],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004124633,"threshold_uncertainty_score":0.0137983,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2594658257","doi":"10.1016/j.petrol.2017.03.015","title":"Variable-order derivative time fractional diffusion model for heterogeneous porous media","year":2017,"lang":"en","type":"article","venue":"Journal of Petroleum Science and Engineering","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":112,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"King Abdulaziz City for Science and Technology; King Fahd University of Petroleum and Minerals","keywords":"Fractional calculus; Porous medium; Diffusion; Anomalous diffusion; Flow (mathematics); Fick's laws of diffusion; Constant (computer programming); Fractional Brownian motion; Brownian motion; Mathematics; Mathematical analysis; Physics; Geometry; Porosity; Computer science; Thermodynamics; Geotechnical engineering; Geology; Innovation diffusion","authors":[{"name":"Abiola D. Obembe","is_ca":false},{"name":"M. Enamul Hossain","is_ca":true},{"name":"Sidqi A. Abu-Khamsin","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03597088871761472,"gpt":0.2893900774481555,"spread":0.2534191887305408,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005976355,0.001079094,0.001583138,0.00101257,0.0008881091,0.001916188,0.001941286,0.002916431,0.001154906],"category_scores_gemma":[0.001716993,0.0004641719,0.001062952,0.0008568958,0.001912823,0.002191301,0.001167889,0.001364083,0.0001149121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002192626,"about_ca_system_score_gemma":0.001406742,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01478649,"about_ca_topic_score_gemma":0.005417172,"domain_scores_codex":[0.9996593,0.0000624025,0.00001699527,0.00009884754,0.00007873467,0.00008367357],"domain_scores_gemma":[0.9993433,0.0002632574,0.0001463088,0.00003065946,0.000151076,0.00006542586],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001340949,0.0001182402,0.001461774,0.0002049799,0.00008039878,0.0005261565,0.0001628548,0.7752166,0.01447573,0.2017114,0.0009797668,0.004928024],"study_design_scores_gemma":[0.000007493456,0.00001001455,0.00009849769,0.000002724962,0.00001131433,0.00002628661,0.00001057724,0.9939387,0.0003809583,0.005285387,0.00021874,0.00000925749],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2129082,0.003151721,0.759916,0.002424682,0.0005354409,0.00007535607,0.0003224553,0.0002543796,0.02041168],"genre_scores_gemma":[0.974674,0.001000256,0.008630591,0.0001194233,0.00009426165,0.00005319489,0.0001186751,0.00002836841,0.01528126],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01478649,"threshold_uncertainty_score":0.02940083,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3113439176","doi":"10.1016/j.rinp.2020.103722","title":"Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19","year":2020,"lang":"en","type":"article","venue":"Results in Physics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":111,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Discretization; Stability (learning theory); Computer science; Work (physics); Domain (mathematical analysis); Applied mathematics; Order (exchange); Fractional calculus; Listing (finance); Mathematical optimization; Mathematics; Physics; Mathematical analysis","authors":[{"name":"Harendra Singh","is_ca":false},{"name":"H. M. Srivastava","is_ca":true},{"name":"Zakia Hammouch","is_ca":false},{"name":"Kottakkaran Sooppy Nisar","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1319521078918289,"gpt":0.395298663591983,"spread":0.2633465557001541,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000224896,0.0002783124,0.000443217,0.000391551,0.0005842193,0.0005450766,0.0004801178,0.0006329013,0.001397512],"category_scores_gemma":[0.0006632165,0.0001161796,0.0005484369,0.0002453531,0.0006855995,0.0003949702,0.0004927752,0.0004463711,0.00008855294],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006243837,"about_ca_system_score_gemma":0.0005644611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005748755,"about_ca_topic_score_gemma":0.001910278,"domain_scores_codex":[0.9999305,0.00001821526,0.000002829797,0.0000102575,0.00002205312,0.00001605293],"domain_scores_gemma":[0.9998301,0.00006356458,0.00003220036,0.00001911451,0.0000373818,0.00001761818],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005758989,0.00004545754,0.00128577,0.00006039302,0.00002304821,0.0001545371,0.0001179527,0.9273685,0.009397291,0.05643816,0.0005361453,0.004515184],"study_design_scores_gemma":[0.000002313213,0.000004763291,0.00006845641,0.000001346383,0.000001116102,0.000007955648,0.000006011289,0.9982737,0.0002809549,0.001147509,0.0002039453,0.000001850134],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5027613,0.0006918299,0.4662344,0.0006331673,0.0001884877,0.0000769269,0.0001490911,0.0002624706,0.02900231],"genre_scores_gemma":[0.9775087,0.00013985,0.01914517,0.00002872664,0.00001438982,0.00004534324,0.00005530988,0.00001982147,0.003042777],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005748755,"threshold_uncertainty_score":0.01143056,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3131923268","doi":"10.1016/j.cnsns.2021.105904","title":"Variable-order fractional calculus: A change of perspective","year":2021,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":111,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Bishop's University","funders":"Natural Sciences and Engineering Research Council of Canada; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Laplace transform; Fractional calculus; Time-scale calculus; Mathematics; Calculus (dental); Variable (mathematics); Applied mathematics; Order (exchange); Domain (mathematical analysis); Calculus of variations; Inversion (geology); Multivariable calculus; Mathematical analysis","authors":[{"name":"Roberto Garrappa","is_ca":false},{"name":"Andrea Giusti","is_ca":true},{"name":"Francesco Mainardi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1645844167380626,"gpt":0.4357039564359775,"spread":0.2711195396979149,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00405817,0.001234276,0.001757197,0.002456583,0.00136087,0.004932735,0.001874679,0.003152867,0.003068696],"category_scores_gemma":[0.006428054,0.0004872564,0.001168652,0.001409666,0.008870102,0.005930251,0.002435076,0.007375657,0.0007096434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002625433,"about_ca_system_score_gemma":0.001359458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001699077,"about_ca_topic_score_gemma":0.001495718,"domain_scores_codex":[0.9983689,0.0007210078,0.0001038153,0.0003062637,0.0004214938,0.0000784918],"domain_scores_gemma":[0.9975656,0.001019605,0.0001500186,0.0004191452,0.000620654,0.0002249048],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001001261,0.00001348024,0.00004870912,0.00003083243,0.000007340587,0.00003175872,0.00008484327,0.0006504508,0.0001610141,0.9938663,0.0013105,0.003784706],"study_design_scores_gemma":[0.00001123028,0.00002359392,0.00009434877,0.0000417045,0.0000100002,0.00008865217,0.00005571814,0.006668544,0.0001202096,0.9667643,0.02610329,0.00001840839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.022804,0.06247946,0.6099554,0.07543194,0.02889936,0.00006269877,0.0004283127,0.0003150816,0.1996237],"genre_scores_gemma":[0.6029746,0.05518892,0.2163241,0.01591951,0.05917045,0.0002360673,0.0002245413,0.0005583598,0.04940342],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004932735,"threshold_uncertainty_score":0.0214619,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2918282077","doi":"10.28924/2291-8639-17-2019-167","title":"New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":108,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"","funders":"China Scholarship Council; Shandong University","keywords":"Laplace transform applied to differential equations; Mathematics; Laplace transform; Two-sided Laplace transform; Integral transform; Mellin transform; Laplace–Stieltjes transform; Mathematical analysis; Generalization; Fourier transform; Inverse Laplace transform; Fractional Fourier transform; Integral equation; Partial differential equation; Ordinary differential equation; Applied mathematics; Differential equation; Fourier analysis","authors":[{"name":"Shehu Maitama","is_ca":false},{"name":"Weidong Zhao","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02307816266498309,"gpt":0.3207904466104394,"spread":0.2977122839454563,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006385844,0.0005285779,0.0007138157,0.000949252,0.0004819092,0.0009858786,0.0008344698,0.001049927,0.002759081],"category_scores_gemma":[0.001509007,0.0001600805,0.0008391173,0.001077238,0.001167857,0.002985861,0.001109311,0.001756438,0.0007389625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003424217,"about_ca_system_score_gemma":0.0005867497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004415694,"about_ca_topic_score_gemma":0.0002988124,"domain_scores_codex":[0.9996044,0.00007174107,0.00002067471,0.00006750926,0.0002022071,0.00003337145],"domain_scores_gemma":[0.9997005,0.00009947475,0.00002697365,0.00003895112,0.0001096945,0.00002447554],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001137327,0.00006927339,0.0006119541,0.000354979,0.00005603796,0.0005577932,0.0002955948,0.02477538,0.05554461,0.7285459,0.003973526,0.1851012],"study_design_scores_gemma":[0.00005595126,0.0001651947,0.0005370587,0.00007026755,0.00007184476,0.002357672,0.0001888872,0.5904788,0.03670051,0.3149154,0.05436665,0.00009174279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008786618,0.001054811,0.9807025,0.0003295673,0.0003017033,0.00002937027,0.00004613349,0.0002220729,0.008527305],"genre_scores_gemma":[0.3816347,0.005264102,0.5913743,0.000960183,0.001409758,0.0001684299,0.0002873102,0.0003792386,0.01852206],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002759081,"threshold_uncertainty_score":0.009230018,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171637116","doi":"10.1016/j.aml.2010.08.001","title":"Cauchy’s integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order","year":2010,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":103,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Fractional calculus; Differentiable function; Cauchy's integral formula; Cauchy distribution; Order (exchange); Mathematical analysis; Cauchy–Riemann equations; Derivative (finance); Pure mathematics; Taylor series; Applied mathematics; Cauchy problem; Initial value problem","authors":[{"name":"Guy Jumarie","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03662236526973848,"gpt":0.29443295581188,"spread":0.2578105905421415,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002390663,0.001111388,0.001316924,0.003238348,0.001012791,0.003415853,0.001446219,0.002393468,0.002886857],"category_scores_gemma":[0.006385062,0.0004732705,0.001095371,0.001484134,0.002833404,0.00579202,0.00175486,0.003204454,0.0005572413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002920542,"about_ca_system_score_gemma":0.001114164,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001881933,"about_ca_topic_score_gemma":0.001257626,"domain_scores_codex":[0.9995033,0.000173386,0.00003281318,0.00006320793,0.000176023,0.0000513796],"domain_scores_gemma":[0.9990054,0.0003569391,0.0000850733,0.0001165241,0.0003042301,0.0001318609],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002108282,0.00001653713,0.0001108595,0.00003224485,0.000009563119,0.0001043555,0.0001302918,0.002183461,0.00183052,0.9903703,0.0006020141,0.00458877],"study_design_scores_gemma":[0.00001607533,0.00001821268,0.0002466852,0.00002549309,0.00001420422,0.0002353626,0.00005066165,0.08455041,0.001002443,0.909799,0.004010523,0.00003088605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.249538,0.009866653,0.602972,0.006412191,0.00216427,0.00007687425,0.0001802766,0.00030408,0.1284856],"genre_scores_gemma":[0.862922,0.004040848,0.08705018,0.0008767613,0.001674392,0.00006703876,0.0001586424,0.0002901422,0.04291993],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003415853,"threshold_uncertainty_score":0.02119011,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W899357680","doi":"10.1016/j.cnsns.2015.06.006","title":"An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives","year":2015,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":102,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Fractal; Perturbation (astronomy); Mathematics; Mathematical analysis; Differentiable function; Simple (philosophy); Operator (biology); Vibration; Physics; Quantum mechanics","authors":[{"name":"Xiao‐Jun Yang","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1194990007252609,"gpt":0.3994094821801292,"spread":0.2799104814548682,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004381475,0.0008351516,0.0007745643,0.001225359,0.0008711868,0.00106606,0.001102501,0.002456365,0.002989264],"category_scores_gemma":[0.002054142,0.0003181857,0.0008394203,0.0005870874,0.002224293,0.001702519,0.001940379,0.001335751,0.0002885176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006640931,"about_ca_system_score_gemma":0.0004788009,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001257165,"about_ca_topic_score_gemma":0.0005862883,"domain_scores_codex":[0.9998115,0.0000713206,0.000009240329,0.00003395243,0.00005057306,0.00002342889],"domain_scores_gemma":[0.9994511,0.0002336031,0.00007432886,0.00002941705,0.000107038,0.000104539],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002822722,0.0001633643,0.001140187,0.0005279814,0.0001277705,0.002590477,0.0007578718,0.2154047,0.04290453,0.7232909,0.003583942,0.009225978],"study_design_scores_gemma":[0.00003450468,0.00008176036,0.0005870667,0.000028975,0.00002747427,0.0005130777,0.0001733191,0.9136831,0.001097417,0.08245317,0.001272971,0.00004717009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5197079,0.002179701,0.3995256,0.004221934,0.001297015,0.0001704719,0.0002310552,0.0005801275,0.07208616],"genre_scores_gemma":[0.9511536,0.0005802384,0.02162101,0.00041269,0.0003778116,0.00008783001,0.00009969333,0.0001143194,0.02555278],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002989264,"threshold_uncertainty_score":0.01000005,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3217578944","doi":"10.3390/sym13122294","title":"A Survey of Some Recent Developments on Higher Transcendental Functions of Analytic Number Theory and Applied Mathematics","year":2021,"lang":"en","type":"article","venue":"Symmetry","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Transcendental number; Transcendental function; Hypergeometric function; Calculus (dental); Mathematics; Algebra over a field; Applied mathematics; Pure mathematics; Mathematical analysis","authors":[{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07040874267968657,"gpt":0.3243326509879134,"spread":0.2539239083082268,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000885445,0.0009636841,0.001044924,0.005266929,0.000691303,0.001767037,0.0006693923,0.000931623,0.009876544],"category_scores_gemma":[0.002150977,0.0004214425,0.0007623786,0.007612124,0.0007703574,0.004104755,0.0008453038,0.002209976,0.003876179],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007694311,"about_ca_system_score_gemma":0.0009249132,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005341509,"about_ca_topic_score_gemma":0.0005398932,"domain_scores_codex":[0.9995919,0.0001004995,0.00004633387,0.00009649094,0.0001274448,0.0000372988],"domain_scores_gemma":[0.9987915,0.0007685497,0.00007733098,0.00006566357,0.0002487555,0.00004834429],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00006928892,0.0001196268,0.0009618791,0.01372048,0.00008825071,0.0003760438,0.0007663256,0.00157086,0.003628014,0.199776,0.07802407,0.7008991],"study_design_scores_gemma":[0.000005695627,0.00009929499,0.001742945,0.002360348,0.00006176153,0.001653399,0.000266455,0.001314731,0.0008859389,0.06934778,0.9222018,0.0000599803],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.002521943,0.950902,0.01450033,0.001602666,0.001919754,0.00001984057,0.0001495747,0.00009084044,0.028293],"genre_scores_gemma":[0.01305025,0.9643269,0.009158133,0.0008725123,0.004562365,0.00003647376,0.0003543872,0.0000586631,0.007580414],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.009876544,"threshold_uncertainty_score":0.03304034,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2895613201","doi":"10.1186/s13662-018-1822-5","title":"A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel","year":2018,"lang":"en","type":"article","venue":"Advances in Difference Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Chebyshev equation; Chebyshev polynomials; Chebyshev pseudospectral method; Fractional calculus; Chebyshev filter; Chebyshev iteration; Applied mathematics; Algebraic equation; Spectral method; Kernel (algebra); Partial differential equation; Mathematical analysis; Matrix (chemical analysis); Ordinary differential equation; Differential equation; Orthogonal polynomials; Nonlinear system; Classical orthogonal polynomials; Pure mathematics","authors":[{"name":"Dumitru Bǎleanu","is_ca":false},{"name":"Babak Shiri","is_ca":false},{"name":"H. M. Srivastava","is_ca":true},{"name":"Maysaa Al Qurashi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05412869537649698,"gpt":0.40014666293891,"spread":0.346017967562413,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006402956,0.0005960017,0.0007770983,0.0006262193,0.000615013,0.0006451062,0.0008003661,0.0009232197,0.001484819],"category_scores_gemma":[0.001014714,0.0002178631,0.0006994221,0.0006335504,0.001059944,0.001387454,0.000821387,0.001393768,0.0003784474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005155369,"about_ca_system_score_gemma":0.0009621273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002475386,"about_ca_topic_score_gemma":0.001929314,"domain_scores_codex":[0.9997491,0.00009252058,0.00001468127,0.00003103902,0.00008772455,0.00002493644],"domain_scores_gemma":[0.9997409,0.000105785,0.00002461056,0.00002838253,0.00007721081,0.00002308405],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008969362,0.0001355773,0.0008209376,0.000384286,0.0000748856,0.0002696089,0.0004458604,0.306096,0.03454684,0.584927,0.001465829,0.07074349],"study_design_scores_gemma":[0.000009766318,0.0000309984,0.00006789915,0.00001334261,0.000008693296,0.00005500445,0.00002766803,0.9723575,0.002085644,0.02337803,0.001950225,0.00001523666],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01079048,0.0003080038,0.9859297,0.0001104431,0.00007152447,0.0000328522,0.00001359915,0.00004930049,0.00269414],"genre_scores_gemma":[0.4988837,0.001219929,0.4906964,0.0001996696,0.0001632574,0.0002624304,0.00007847216,0.0001029407,0.008393149],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002475386,"threshold_uncertainty_score":0.004967213,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2084479653","doi":"10.1007/s10509-006-9189-6","title":"Fractional Reaction-Diffusion Equations","year":2006,"lang":"en","type":"article","venue":"Astrophysics and Space Science","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":94,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Laplace transform; Diffusion; Physics; Fourier transform; Extension (predicate logic); Computation; Mathematical physics; Reaction–diffusion system; Statistical physics; Mathematical analysis; Mathematics; Quantum mechanics; Algorithm; Computer science","authors":[{"name":"R. K. Saxena","is_ca":false},{"name":"A. M. Mathai","is_ca":true},{"name":"H. J. Haubold","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02468093130357531,"gpt":0.2896763286664151,"spread":0.2649953973628398,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000947119,0.001359271,0.001577186,0.001452564,0.001125489,0.002703361,0.001335662,0.003641709,0.006045112],"category_scores_gemma":[0.003805675,0.000394919,0.001223592,0.0008273075,0.002220387,0.003629576,0.001811247,0.002264849,0.0006695419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001910387,"about_ca_system_score_gemma":0.0008246283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00355097,"about_ca_topic_score_gemma":0.001018723,"domain_scores_codex":[0.9996686,0.00009397914,0.0000168125,0.00006182452,0.0001009497,0.00005791179],"domain_scores_gemma":[0.9992369,0.0002785065,0.0001050967,0.00008233195,0.0001648991,0.0001322552],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001757599,0.00001333833,0.00006467784,0.00003149811,0.00001091986,0.00006671146,0.00005068165,0.008245988,0.001181903,0.9870229,0.001219111,0.00207469],"study_design_scores_gemma":[0.00004096809,0.00001640507,0.0001933267,0.00001840094,0.0000266042,0.0001978972,0.00005396768,0.1734369,0.001126452,0.8161541,0.00869772,0.0000371958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1876139,0.014823,0.5267714,0.02452373,0.005593053,0.0001574062,0.0007034866,0.0006705671,0.2391435],"genre_scores_gemma":[0.8226566,0.005501973,0.02976121,0.001467384,0.002324804,0.0001018386,0.0003316087,0.0001742687,0.1376802],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006045112,"threshold_uncertainty_score":0.0202229,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2031354317","doi":"10.1023/b:astr.0000032531.46639.a7","title":"Unified Fractional Kinetic Equation and a Fractional Diffusion Equation","year":2004,"lang":"en","type":"article","venue":"Astrophysics and Space Science","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":88,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Laplace transform; Integrable system; Space (punctuation); Work (physics); Variable (mathematics); Fractional calculus; Extension (predicate logic); Function (biology); Unification","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04211489909531811,"gpt":0.2930244165089652,"spread":0.2509095174136471,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008488314,0.001001673,0.001289113,0.002141762,0.001480913,0.002511591,0.001410492,0.00329152,0.003735665],"category_scores_gemma":[0.00208308,0.0003530964,0.001536618,0.001077588,0.0025785,0.006361807,0.001810946,0.001962456,0.0003472263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00170775,"about_ca_system_score_gemma":0.000988135,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001961167,"about_ca_topic_score_gemma":0.0009591983,"domain_scores_codex":[0.999703,0.00007460051,0.00002056176,0.00005518904,0.000100703,0.00004585317],"domain_scores_gemma":[0.9994985,0.0001222024,0.000092934,0.00006104958,0.0001347368,0.00009060587],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009287184,0.000008846407,0.00003742768,0.00001262259,0.000005094926,0.00005315858,0.00004826178,0.001162511,0.0006343837,0.9964728,0.0004548996,0.001100765],"study_design_scores_gemma":[0.00002030278,0.00001265674,0.0001869813,0.000008598039,0.00001368943,0.0001845067,0.00005167214,0.03612957,0.0003738005,0.9590661,0.003931785,0.00002032984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3188757,0.009743319,0.4916639,0.01328024,0.003496508,0.0000861177,0.0003409064,0.0003589427,0.1621544],"genre_scores_gemma":[0.8938545,0.002783434,0.04257922,0.001031108,0.002859722,0.00007458012,0.0002194542,0.0001186815,0.05647937],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003735665,"threshold_uncertainty_score":0.01249701,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2922936468","doi":"10.1134/s1061920819010096","title":"An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation","year":2019,"lang":"en","type":"article","venue":"Russian Journal of Mathematical Physics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":85,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Gegenbauer polynomials; Wavelet; Orthogonal polynomials; Mathematics; Legendre wavelet; Algebraic equation; Mathematical analysis; Applied mathematics; Orthogonal functions; Classical orthogonal polynomials; Wavelet transform; Discrete wavelet transform; Physics; Computer science; Artificial intelligence","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Firdous A. Shah","is_ca":false},{"name":"R. Abass","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04850461088418175,"gpt":0.3469665547031793,"spread":0.2984619438189976,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005160696,0.0004490035,0.0004848327,0.000428357,0.0003417323,0.0004806804,0.0005868403,0.0008534225,0.001337445],"category_scores_gemma":[0.0008989089,0.0001390692,0.0005411369,0.0004720906,0.000547196,0.0009370552,0.000638243,0.001089404,0.000281905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002531938,"about_ca_system_score_gemma":0.0006400708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000912256,"about_ca_topic_score_gemma":0.0007987634,"domain_scores_codex":[0.9998487,0.00005339436,0.000009582873,0.00001619898,0.00005831631,0.00001380982],"domain_scores_gemma":[0.9998808,0.00005262116,0.00001382995,0.00001444957,0.00002710754,0.00001119916],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001014476,0.0000863906,0.0005502852,0.0003182764,0.00005699326,0.0003872249,0.0003320077,0.2416938,0.04680304,0.5823187,0.001518227,0.1258336],"study_design_scores_gemma":[0.000008119861,0.00003133704,0.00007473504,0.00001285628,0.000006734767,0.00008933641,0.00002190806,0.9746991,0.00264898,0.01946036,0.002933269,0.00001329787],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009755827,0.0003366012,0.9861408,0.0001275937,0.0001379694,0.0000237567,0.00001228028,0.00004309966,0.003422192],"genre_scores_gemma":[0.2841108,0.001406839,0.7074894,0.0001257615,0.0001416816,0.0001462416,0.0000497351,0.0000738104,0.006455651],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001337445,"threshold_uncertainty_score":0.004474163,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3047531212","doi":"10.1016/j.chaos.2020.110174","title":"An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus","year":2020,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":84,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Chebyshev polynomials; Uniqueness; Applied mathematics; Mathematics; Convergence (economics); Chebyshev filter; Spectral method; Collocation (remote sensing); Algebraic equation; Fractional calculus; Computer science; Mathematical analysis; Nonlinear system; Physics","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Khaled M. Saad","is_ca":false},{"name":"M. M. Khader","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1451837023040053,"gpt":0.4171537051285927,"spread":0.2719700028245874,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005340412,0.0004724122,0.0006140881,0.0003866485,0.0006304242,0.0005152929,0.0008953994,0.001282051,0.002323151],"category_scores_gemma":[0.001667343,0.0003070072,0.0004686753,0.0003439042,0.0005531589,0.0004781564,0.0006817091,0.0007356089,0.0002533365],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004799498,"about_ca_system_score_gemma":0.000881015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01301251,"about_ca_topic_score_gemma":0.007339963,"domain_scores_codex":[0.9998699,0.00006015738,0.000006977164,0.0000143658,0.00002980558,0.00001870512],"domain_scores_gemma":[0.9991977,0.0005114127,0.00004513191,0.00004434018,0.0001529298,0.00004852296],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006120921,0.00006143629,0.0005188992,0.00003580767,0.00002157753,0.00007192584,0.00006170016,0.9779593,0.002912276,0.006629665,0.0003432918,0.011323],"study_design_scores_gemma":[0.000001797213,0.000003366621,0.00001473168,7.469798e-7,6.706255e-7,0.000001393818,0.000002473293,0.9996412,0.0000718234,0.000200343,0.00006061418,9.495093e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1000394,0.0001787979,0.8954332,0.000208255,0.0001019273,0.00006167612,0.00007116623,0.000299557,0.003606049],"genre_scores_gemma":[0.8050029,0.0001442511,0.1916381,0.00008750305,0.00003296612,0.0001504686,0.0001158377,0.0001128754,0.002715135],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01301251,"threshold_uncertainty_score":0.0258736,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W846923873","doi":"10.1016/j.apm.2015.06.014","title":"The Müntz-Legendre Tau method for fractional differential equations","year":2015,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Legendre polynomials; Mathematics; Algebraic equation; Orthogonal polynomials; Classical orthogonal polynomials; Sequence (biology); Legendre wavelet; Associated Legendre polynomials; Applied mathematics; Fractional calculus; Jacobi polynomials; Differential equation; Scheme (mathematics); Gegenbauer polynomials; Numerical analysis; Discrete orthogonal polynomials; Mathematical analysis; Computer science; Nonlinear system","authors":[{"name":"P. Mokhtary","is_ca":false},{"name":"F. Ghoreishi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.200888377014023,"gpt":0.3817076666534986,"spread":0.1808192896394756,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001099022,0.0008410127,0.001064961,0.001766103,0.0008776246,0.001643479,0.001203483,0.001585833,0.002728547],"category_scores_gemma":[0.002483067,0.0003369565,0.001030793,0.001218893,0.001521905,0.001983733,0.001211262,0.002685786,0.000669598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001023912,"about_ca_system_score_gemma":0.001204298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002150349,"about_ca_topic_score_gemma":0.001841171,"domain_scores_codex":[0.9996977,0.0001638943,0.00001231471,0.00003373051,0.00006399992,0.00002844037],"domain_scores_gemma":[0.999458,0.0002714309,0.00005014411,0.00004853663,0.0001315248,0.00004036792],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005605442,0.0000427464,0.0001874769,0.0001884902,0.00004071894,0.0001131392,0.0001973074,0.05118274,0.00496659,0.8968619,0.001666099,0.04449663],"study_design_scores_gemma":[0.0000125077,0.00003935787,0.0001551966,0.00004709115,0.00002250078,0.0001364419,0.00004831263,0.7138117,0.00178122,0.2742987,0.009606265,0.00004064485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01402977,0.00279415,0.9670008,0.0005249598,0.0003903252,0.00004074501,0.00004783376,0.0001057118,0.01506579],"genre_scores_gemma":[0.4975866,0.006568951,0.4271155,0.0004822928,0.001047306,0.0002811242,0.0001661646,0.00039216,0.06635986],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002728547,"threshold_uncertainty_score":0.009127915,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386222454","doi":"10.1007/s13398-023-01488-6","title":"A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability","year":2023,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Hadamard transform; Fixed-point theorem; Lipschitz continuity; Nonlinear system; Mathematical analysis; Banach space; Contraction mapping; Order (exchange); Type (biology); Boundary value problem; Flow (mathematics); Fractional calculus; Applied mathematics; Geometry; Physics","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Ankit Kumar Nain","is_ca":false},{"name":"Ramesh Kumar Vats","is_ca":false},{"name":"Pratibhamoy Das","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03650555360013005,"gpt":0.3323380592181465,"spread":0.2958325056180164,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005529333,0.0008187999,0.0007516075,0.001155396,0.001239495,0.00187848,0.001064413,0.001699103,0.002816015],"category_scores_gemma":[0.001891247,0.0002931844,0.001289006,0.0006190534,0.002058157,0.002354142,0.001216014,0.001205018,0.0002208545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00108119,"about_ca_system_score_gemma":0.0009075783,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002366061,"about_ca_topic_score_gemma":0.001109209,"domain_scores_codex":[0.9998215,0.00007256055,0.000008064783,0.00002972063,0.00003722601,0.00003102984],"domain_scores_gemma":[0.999487,0.0001763836,0.00009095182,0.00004554086,0.0001246738,0.00007543385],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001548138,0.0000286765,0.0003321934,0.00005942017,0.00002056802,0.0001655933,0.0001322727,0.04370826,0.001903728,0.9514498,0.0006824211,0.001501635],"study_design_scores_gemma":[0.00001162051,0.00002857879,0.0002874713,0.00001550013,0.00001276383,0.0001291141,0.00008382023,0.6812018,0.0003975842,0.3163794,0.001431015,0.00002133352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4016384,0.005898166,0.4733478,0.005160721,0.0008509756,0.00007915041,0.000223397,0.0001791058,0.1126223],"genre_scores_gemma":[0.9744964,0.001187782,0.01117473,0.0001977621,0.0003211205,0.00004413233,0.00006110712,0.00003144667,0.01248553],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002816015,"threshold_uncertainty_score":0.009420514,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2730781544","doi":"10.1142/s0218348x17400023","title":"NON-DIFFERENTIABLE EXACT SOLUTIONS FOR THE NONLINEAR ODES DEFINED ON FRACTAL SETS","year":2017,"lang":"en","type":"article","venue":"Fractals","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Priority Academic Program Development of Jiangsu Higher Education Institutions; National Natural Science Foundation of China","keywords":"Differentiable function; Ode; Mathematics; Fractal; Fractional calculus; Nonlinear system; Applied mathematics; Pure mathematics; Mathematical analysis; Function (biology); Cantor function; Cantor set","authors":[{"name":"Xiao‐Jun Yang","is_ca":false},{"name":"Feng Gao","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.125570508627684,"gpt":0.3710255963858572,"spread":0.2454550877581732,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003197125,0.0005043597,0.0004149788,0.001278405,0.0005948937,0.001017507,0.0003911891,0.0006801349,0.001338997],"category_scores_gemma":[0.001531611,0.0001278679,0.0005507583,0.0005128999,0.001260761,0.001456089,0.0005958575,0.000691024,0.0001330172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006842219,"about_ca_system_score_gemma":0.0003565579,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009094983,"about_ca_topic_score_gemma":0.0006206908,"domain_scores_codex":[0.9998306,0.00003956162,0.00001247625,0.00002693081,0.00006182989,0.00002847759],"domain_scores_gemma":[0.9996133,0.0001257289,0.00009451123,0.00003774204,0.00008469944,0.00004403344],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002455834,0.00001411081,0.0007522064,0.00008630152,0.00001824283,0.0003451714,0.0002363775,0.03155963,0.007444924,0.9491975,0.0004420769,0.00987892],"study_design_scores_gemma":[0.00001585155,0.00006679176,0.001370842,0.00003801657,0.00001575616,0.0007132135,0.0002839746,0.4147774,0.004590876,0.5731437,0.004936087,0.00004737717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5739661,0.003325709,0.3966615,0.0005816418,0.0002682034,0.00003231978,0.0001153959,0.0001199612,0.02492918],"genre_scores_gemma":[0.9751737,0.0009265159,0.01875917,0.00003889915,0.00007032631,0.00002851405,0.00008016664,0.00001783381,0.004904907],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001338997,"threshold_uncertainty_score":0.004964352,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1996776537","doi":"10.2478/s11534-013-0256-7","title":"On the derivative chain-rules in fractional calculus via fractional difference and their application to systems modelling","year":2013,"lang":"en","type":"article","venue":"Open Physics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fractional calculus; Differentiable function; Chain rule (probability); Differential calculus; Function (biology); Time-scale calculus; Commutative property; Calculus (dental); Derivative (finance); Mathematics; Order (exchange); Pure mathematics; Construct (python library); Feature (linguistics); Applied mathematics; Computer science; Multivariable calculus; Random variable","authors":[{"name":"Guy Jumarie","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.076569082473969,"gpt":0.310873008976183,"spread":0.234303926502214,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003124403,0.0004690919,0.0009779269,0.001582998,0.0009569059,0.001960631,0.001025907,0.001124974,0.003456632],"category_scores_gemma":[0.00550667,0.0003147853,0.001383621,0.001274726,0.003827139,0.002446352,0.001825182,0.001886966,0.000313326],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001156603,"about_ca_system_score_gemma":0.0006579859,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001923701,"about_ca_topic_score_gemma":0.001150516,"domain_scores_codex":[0.9990587,0.0004011944,0.00007347945,0.0000971421,0.0002994545,0.00007012783],"domain_scores_gemma":[0.9975684,0.001626004,0.000212594,0.0002273936,0.0002316562,0.0001338605],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007315341,0.00001048152,0.0001253986,0.00002955728,0.000008108658,0.00008850673,0.0001396141,0.01632732,0.0005192695,0.979886,0.000136424,0.002721954],"study_design_scores_gemma":[0.000004098145,0.00001510946,0.00006709756,0.0000182903,0.000004931643,0.00003750421,0.0000193219,0.1454605,0.000341847,0.8525388,0.001481896,0.00001052559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04833571,0.001582167,0.9198951,0.001025693,0.0002461295,0.00006493661,0.00006359978,0.00010582,0.02868095],"genre_scores_gemma":[0.8334602,0.001994641,0.154137,0.0002948052,0.0003035122,0.0001409749,0.00006450271,0.0001066304,0.009497775],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003456632,"threshold_uncertainty_score":0.0165236,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974345062","doi":"10.1016/j.camwa.2010.09.018","title":"Homotopy perturbation method for nonlinear MHD Jeffery–Hamel problem","year":2010,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Homotopy analysis method; Magnetohydrodynamics; Homotopy perturbation method; Perturbation (astronomy); Nonlinear system; Mathematical analysis; Magnetic field; Homotopy; Applied mathematics; Classical mechanics; Pure mathematics; Physics","authors":[{"name":"S.M. Moghimi","is_ca":false},{"name":"D.D. Ganji","is_ca":false},{"name":"H. Bararnia","is_ca":false},{"name":"Mohammad Hosseini","is_ca":false},{"name":"Maziyar Jalaal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03144999022648132,"gpt":0.3348111805408647,"spread":0.3033611903143834,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006557441,0.0007226263,0.001174775,0.0011129,0.0007878983,0.0007916836,0.001080718,0.001465891,0.00309875],"category_scores_gemma":[0.001662856,0.0002936687,0.0007625773,0.0005337684,0.001264017,0.001252495,0.002116975,0.001654609,0.0003600597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006557251,"about_ca_system_score_gemma":0.0007008397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002856895,"about_ca_topic_score_gemma":0.001550868,"domain_scores_codex":[0.9997832,0.0001144915,0.000009170497,0.00002278796,0.00004989506,0.00002040381],"domain_scores_gemma":[0.9996471,0.0001413848,0.00002919171,0.00002453411,0.000098433,0.00005933436],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004306522,0.0002074241,0.001002316,0.000671541,0.000238901,0.0007377494,0.0004650208,0.3177524,0.018386,0.5964558,0.00644162,0.05721063],"study_design_scores_gemma":[0.00002902451,0.00003090919,0.0002025883,0.00001687443,0.0000133015,0.00004337348,0.00004904526,0.9311613,0.0005197869,0.06576984,0.002147293,0.00001665066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06323507,0.002258273,0.8972137,0.002467897,0.00121037,0.0001724799,0.0001091105,0.0001646905,0.03316844],"genre_scores_gemma":[0.6997952,0.002607068,0.221577,0.0009278562,0.00104537,0.0006114446,0.0002351467,0.0002976274,0.07290334],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00309875,"threshold_uncertainty_score":0.01036638,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2984004555","doi":"10.1016/j.cnsns.2019.105114","title":"General fractional calculus and Prabhakar’s theory","year":2019,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":75,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Bishop's University","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per la Fisica Matematica; Bishop's University","keywords":"Fractional calculus; Mathematics; Generalization; Calculus (dental); Realization (probability); Function (biology); Applied mathematics; Mathematical analysis","authors":[{"name":"Andrea Giusti","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07389877970102672,"gpt":0.3994176024734502,"spread":0.3255188227724235,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001092632,0.0007818398,0.001148426,0.001774399,0.001635794,0.002438732,0.001179089,0.002336802,0.004652073],"category_scores_gemma":[0.002210811,0.0003523701,0.001263552,0.001691411,0.004153159,0.004814527,0.00182589,0.002912339,0.0007411901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001663651,"about_ca_system_score_gemma":0.0009254506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001344087,"about_ca_topic_score_gemma":0.0007232864,"domain_scores_codex":[0.9996055,0.000125542,0.0000189431,0.00007562713,0.000120078,0.00005426431],"domain_scores_gemma":[0.9995333,0.000217501,0.00005845814,0.00008222311,0.00007628095,0.00003229659],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000340942,0.000003704305,0.00001377238,0.00001436276,0.000003283714,0.0000211797,0.00004223554,0.001001034,0.0001578735,0.9965897,0.0003778445,0.001771666],"study_design_scores_gemma":[0.000003053112,0.000003778751,0.00003330371,0.000005281497,0.000002992085,0.0000399385,0.00001376751,0.005664401,0.00008244288,0.9898829,0.004261873,0.000006340269],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0573928,0.01836203,0.6269614,0.0122737,0.003448608,0.00006740407,0.0001742195,0.0002793296,0.2810405],"genre_scores_gemma":[0.8222501,0.01114082,0.07038737,0.001928164,0.004489478,0.0001002821,0.0001334483,0.0001766037,0.08939376],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004652073,"threshold_uncertainty_score":0.01556277,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974874741","doi":"10.1007/s00397-010-0436-y","title":"Rheological representation of fractional order viscoelastic material models","year":2010,"lang":"en","type":"article","venue":"Rheologica Acta","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Fractional calculus; Viscoelasticity; Rheology; Mathematics; Kelvin–Voigt material; Representation (politics); Standard linear solid model; Order (exchange); Mathematical analysis; Physics; Thermodynamics","authors":[{"name":"Katerina D. Papoulia","is_ca":true},{"name":"Vassilis P. Panoskaltsis","is_ca":false},{"name":"Nishu V. Kurup","is_ca":false},{"name":"Igor Korovajchuk","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08185409260538042,"gpt":0.3446926685040187,"spread":0.2628385758986383,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003774491,0.0007287359,0.0005750128,0.00178509,0.0005110835,0.001748179,0.001079893,0.001399515,0.002923291],"category_scores_gemma":[0.001168197,0.0003083492,0.0007561309,0.0006251923,0.0009564729,0.002113056,0.000803381,0.001032579,0.0004233882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00063557,"about_ca_system_score_gemma":0.0004350357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008754581,"about_ca_topic_score_gemma":0.0006848726,"domain_scores_codex":[0.9998637,0.00004044609,0.000007040788,0.00002221522,0.00004266385,0.00002387178],"domain_scores_gemma":[0.9996822,0.00006520769,0.00008862725,0.00005127825,0.00006990715,0.00004276547],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002431176,0.00008102442,0.000202294,0.00006611394,0.00001849372,0.0001710855,0.0001926101,0.1145308,0.007219239,0.8678258,0.0008600212,0.008808143],"study_design_scores_gemma":[0.000007202419,0.00002429361,0.0001275275,0.00001287825,0.000009179017,0.0000764115,0.00004271195,0.8016844,0.0006570028,0.1948424,0.00250276,0.00001321763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1610988,0.001823358,0.7829159,0.001329274,0.0003478001,0.00006576478,0.0001542787,0.0002191842,0.05204571],"genre_scores_gemma":[0.9385061,0.001371245,0.03302091,0.0002294218,0.0002371918,0.00007695271,0.0001349433,0.00009528544,0.02632797],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002923291,"threshold_uncertainty_score":0.009779334,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043406699","doi":"10.1063/1.3255535","title":"Some applications of the fractional Poisson probability distribution","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":70,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Top Hat (Canada)","funders":"","keywords":"Mathematics; Stirling numbers of the second kind; Bell polynomials; Probability distribution; Poisson distribution; Kurtosis; Applied mathematics; Bernoulli distribution; Statistical physics; Discrete mathematics; Random variable; Pure mathematics; Statistics; Physics","authors":[{"name":"Nick Laskin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04789113696596702,"gpt":0.3255585482181725,"spread":0.2776674112522055,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001568326,0.0004678056,0.0005142478,0.002207587,0.001312978,0.001595102,0.0008112033,0.001203338,0.003587739],"category_scores_gemma":[0.004535456,0.0003013768,0.001191789,0.00149252,0.002072643,0.002365127,0.001289818,0.001592291,0.0003883646],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001481698,"about_ca_system_score_gemma":0.0007642476,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001423196,"about_ca_topic_score_gemma":0.0006140764,"domain_scores_codex":[0.9992285,0.0002753322,0.00003840406,0.00009231643,0.0002710538,0.00009435851],"domain_scores_gemma":[0.9986668,0.000715104,0.0001437943,0.000119786,0.0002561939,0.00009831911],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006551312,0.000006264972,0.00009792068,0.00002449367,0.000003804739,0.0001002681,0.00006346234,0.003030303,0.0003445754,0.9913092,0.0006735538,0.004339618],"study_design_scores_gemma":[0.000005659138,0.00001370831,0.0001811416,0.00002426036,0.00000574436,0.0003120451,0.00004176798,0.05725207,0.0004303669,0.9327554,0.008958354,0.00001954512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06354517,0.01947346,0.763272,0.006362499,0.001462874,0.00006149314,0.0001582158,0.0002272149,0.145437],"genre_scores_gemma":[0.848126,0.01361469,0.107639,0.001311729,0.002634432,0.000117364,0.0001165792,0.0001358608,0.02630441],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003587739,"threshold_uncertainty_score":0.01200223,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3095694458","doi":"10.1002/num.22589","title":"An efficient computational approach for local fractional Poisson equation in fractal media","year":2020,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Fractional calculus; Poisson's equation; Operator (biology); Partial differential equation; Fractal; Domain (mathematical analysis); Mathematical analysis; Representation (politics); Applied mathematics; Differential operator; Partial derivative; Field (mathematics); Homotopy; Pure mathematics","authors":[{"name":"Jagdev Singh","is_ca":false},{"name":"Ali Ahmadian","is_ca":false},{"name":"Sushila Rathore","is_ca":false},{"name":"Devendra Kumar","is_ca":false},{"name":"Dumitru Bǎleanu","is_ca":false},{"name":"Mehdi Salimi","is_ca":true},{"name":"Soheil Salahshour","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.178571034282893,"gpt":0.4369659327155888,"spread":0.2583948984326957,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003409037,0.000343051,0.0006143926,0.0006408832,0.0005961268,0.0005949062,0.0008020152,0.0008723177,0.0028285],"category_scores_gemma":[0.000806268,0.0001899355,0.0007024509,0.0004475677,0.0007513876,0.0008615103,0.0009229735,0.0007189867,0.000295771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004188933,"about_ca_system_score_gemma":0.0005280878,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002604095,"about_ca_topic_score_gemma":0.002090861,"domain_scores_codex":[0.9998941,0.00003739097,0.000005390071,0.0000122513,0.00003563382,0.00001518477],"domain_scores_gemma":[0.9997886,0.0001052643,0.00002183458,0.00001860067,0.0000478434,0.00001801344],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006094927,0.00008152678,0.001167458,0.0001615221,0.00003783683,0.0004223633,0.0001704055,0.7483546,0.009619991,0.2112333,0.00107045,0.02761952],"study_design_scores_gemma":[0.000003467836,0.000006203134,0.00002806782,0.000002674981,0.000001624146,0.00001620589,0.000007037911,0.993206,0.0001973269,0.006180073,0.000349337,0.000001995009],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03996048,0.0003158776,0.9509082,0.0003217621,0.00009828396,0.00004425466,0.00004656973,0.0001170652,0.008187527],"genre_scores_gemma":[0.7044137,0.0004306965,0.285297,0.0001607585,0.0001192132,0.0001981853,0.00009181626,0.0001225709,0.009166014],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0028285,"threshold_uncertainty_score":0.009462297,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}