{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":11,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":11,"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"},"query_hash":"b53264ada55b","filters":{"venue":"Fractional Calculus and Applied Analysis"}},"results":[{"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","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001605534,0.0003075545,0.0005147358,0.0002825723,0.0005859064,0.0001251375,0.0001229622,0.0001455418,0.001737691],"category_scores_gemma":[0.0002275678,0.0002689696,0.0002529197,0.001332093,0.0001854227,0.0002848748,0.00006195339,0.0004173419,0.00003433945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009568157,"about_ca_system_score_gemma":0.00009807013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001165302,"about_ca_topic_score_gemma":0.0001595435,"domain_scores_codex":[0.9976417,0.0000622854,0.0004211418,0.000585524,0.001013083,0.0002762532],"domain_scores_gemma":[0.9981591,0.0008456546,0.0002741543,0.0002239929,0.0002233222,0.000273775],"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":[0.0005826315,0.0008004862,0.002571903,0.00007029221,0.00744473,0.00001542264,0.0008720991,0.02489281,0.01287519,0.9360328,0.01332001,0.0005216528],"study_design_scores_gemma":[0.007626056,0.0006305831,0.1347692,0.00009242963,0.02261268,0.0001050514,0.005408681,0.4696239,0.01506235,0.08958795,0.2497705,0.004710644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09924053,0.00002911803,0.8669927,0.03060149,0.00005458244,0.0003022099,0.0001953797,0.0001897753,0.00239419],"genre_scores_gemma":[0.9826258,0.000008663525,0.01178902,0.004662188,0.0003192311,0.00008318928,0.0002736197,0.0000372491,0.0002009772],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8833854,"threshold_uncertainty_score":0.9999763,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2117785697","doi":"10.2478/s13540-012-0045-9","title":"Numerical studies for the variable-order nonlinear fractional wave equation","year":2012,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Ryerson University","keywords":"Mathematics; Fractional calculus; Variable (mathematics); Convergence (economics); Nonlinear system; Stability (learning theory); Order (exchange); Mathematical analysis; Wave equation; Applied mathematics; Scheme (mathematics)","retraction":null,"screen_n_in":null,"score":{"opus":0.1220397410073504,"gpt":0.3619100181241181,"spread":0.2398702771167677,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005159424,0.000214178,0.0003634924,0.0002119447,0.001015438,0.00006199351,0.00007782468,0.0001177269,0.0007005648],"category_scores_gemma":[0.0008143229,0.0001565277,0.0002428035,0.001022499,0.0001107612,0.000265361,0.00004400924,0.0002483799,0.00004069825],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001603622,"about_ca_system_score_gemma":0.00006745682,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005443375,"about_ca_topic_score_gemma":0.00001592129,"domain_scores_codex":[0.9983731,0.0000519867,0.0004300459,0.0002873765,0.0005295754,0.0003278987],"domain_scores_gemma":[0.9949132,0.004056362,0.0002503716,0.000224811,0.0004375656,0.0001176885],"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":[0.0000872922,0.0005090837,0.0003581647,0.00002960133,0.004967833,1.148094e-7,0.0001941922,0.01506548,0.0002271712,0.9731504,0.003982998,0.001427632],"study_design_scores_gemma":[0.001001792,0.00004481651,0.01577497,0.00001202197,0.008956099,0.00001884586,0.001758144,0.7925048,0.0001520466,0.1213851,0.05776267,0.0006286054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002493589,0.0003803156,0.9935025,0.001611987,0.000340627,0.0003696191,0.00010273,0.00006159394,0.001137044],"genre_scores_gemma":[0.9303197,0.0000734536,0.0657658,0.0003650218,0.00148075,0.0006198392,0.0003364998,0.00002978099,0.001009173],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9278261,"threshold_uncertainty_score":0.7810028,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4366204509","doi":"10.1007/s13540-023-00152-5","title":"A new Bihari inequality and initial value problems of first order fractional differential equations","year":2023,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Initial value problem; Fractional calculus; Order (exchange); Nonlinear system; Differential operator; Applied mathematics; Operator (biology); Interval (graph theory); Mathematical analysis; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.06317771685547147,"gpt":0.3337663640366905,"spread":0.270588647181219,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002868338,0.000246369,0.0004920341,0.000753089,0.0005494563,0.00008034031,0.00009953828,0.0001737118,0.00136985],"category_scores_gemma":[0.0004436735,0.0002384939,0.0002172418,0.002248336,0.0001334349,0.0002125452,0.0001201687,0.0002845006,0.00003711919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007885685,"about_ca_system_score_gemma":0.0001500114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009503035,"about_ca_topic_score_gemma":0.0009467384,"domain_scores_codex":[0.9978426,0.00006858997,0.0006540022,0.0004559296,0.0007127978,0.0002661351],"domain_scores_gemma":[0.9974847,0.001484845,0.0003423523,0.0002448906,0.0002469708,0.0001961739],"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":[0.00009591856,0.0004905447,0.002937037,0.0001279336,0.002615781,0.000001362301,0.000447158,0.01320789,0.001478358,0.974561,0.00307523,0.0009617488],"study_design_scores_gemma":[0.002353545,0.00009569584,0.1576323,0.00005801878,0.005101951,0.00001171358,0.0007577928,0.534463,0.000279672,0.2945101,0.003820763,0.0009154339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1293297,0.00003610952,0.8673198,0.001117647,0.0001559041,0.0003260977,0.0003500849,0.0001487007,0.001216005],"genre_scores_gemma":[0.9947144,0.00004259636,0.003521384,0.00003341531,0.0002899756,0.0001069252,0.0006890593,0.00002440175,0.0005777947],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8653848,"threshold_uncertainty_score":0.999543,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3032786119","doi":"10.1515/fca-2020-0029","title":"The continuation of solutions to systems of Caputo fractional order differential equations","year":2020,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":22,"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":"Continuation; Mathematics; Uniqueness; Applied mathematics; Fixed-point theorem; Order (exchange); Fractional calculus; Differential equation; Schauder fixed point theorem; Mathematical analysis; Picard–Lindelöf theorem; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.05215986633770321,"gpt":0.2969269155653558,"spread":0.2447670492276526,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002653403,0.0001796485,0.0004413362,0.0002661411,0.000622903,0.00006096102,0.000150075,0.0001018035,0.000281087],"category_scores_gemma":[0.0008946092,0.000147776,0.0002428608,0.00162668,0.0001475684,0.0001183756,0.00008093443,0.0001993643,0.0000213368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007026895,"about_ca_system_score_gemma":0.0001203721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002849839,"about_ca_topic_score_gemma":0.000216667,"domain_scores_codex":[0.9978569,0.00009252934,0.0007808047,0.0003068723,0.0007419438,0.0002209718],"domain_scores_gemma":[0.9967581,0.001650426,0.0004919602,0.0002316212,0.0006978564,0.00017004],"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":[0.00009144841,0.0002268305,0.0002234857,0.00003055647,0.001526603,1.340749e-7,0.0002326992,0.05083978,0.006692027,0.9379185,0.001825259,0.0003926437],"study_design_scores_gemma":[0.001552218,0.0001936328,0.04381585,0.00004308983,0.006798443,0.000004794289,0.0032557,0.9108158,0.001168993,0.02250847,0.00906539,0.0007776643],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03608346,0.0000885237,0.9599726,0.002181029,0.0001491068,0.0003958516,0.0002686819,0.0000393305,0.0008214821],"genre_scores_gemma":[0.99757,0.00001702729,0.001555843,0.00005793014,0.0002090771,0.0001457044,0.0001693796,0.0000159996,0.0002590149],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9614866,"threshold_uncertainty_score":0.6026131,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4398271890","doi":"10.1007/s13540-024-00292-2","title":"Fractional differential equations of Bagley-Torvik and Langevin type","year":2024,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Type (biology); Langevin equation; Physics; Differential (mechanical device); Stochastic differential equation; Mathematics; Statistical physics; Mechanics; Applied mathematics; Thermodynamics; Biology","retraction":null,"screen_n_in":null,"score":{"opus":0.04093841403892143,"gpt":0.3213767281712602,"spread":0.2804383141323387,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000145884,0.0001729607,0.0003217858,0.0005115909,0.0002352821,0.00009976191,0.00006030507,0.0001179488,0.001639113],"category_scores_gemma":[0.0001576573,0.0001579839,0.0001752688,0.0009475155,0.0001185314,0.0001807571,0.00005349888,0.00023545,0.00004058893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000741741,"about_ca_system_score_gemma":0.00008909532,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001425509,"about_ca_topic_score_gemma":0.0001871916,"domain_scores_codex":[0.9986508,0.00003846972,0.0003742471,0.0003437032,0.0004352778,0.0001574871],"domain_scores_gemma":[0.9984284,0.001038611,0.000112231,0.00016006,0.0001581025,0.0001026059],"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":[0.00003731833,0.0002025513,0.0003125433,0.00007659164,0.001881081,0.00000139319,0.0001289699,0.0005859036,0.003782104,0.9898146,0.001849093,0.001327823],"study_design_scores_gemma":[0.00119153,0.0001538665,0.08442962,0.0001271524,0.01346304,0.00004278753,0.001088199,0.5715643,0.000915434,0.304599,0.02115439,0.001270741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2963832,0.0008842301,0.6943467,0.001063922,0.0005001739,0.0003032931,0.0003769234,0.0002044818,0.005937073],"genre_scores_gemma":[0.9964496,0.00006953824,0.001714035,0.00002877121,0.0002563419,0.00003860406,0.0002626106,0.00001945817,0.001160991],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7000664,"threshold_uncertainty_score":0.9992735,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4206810995","doi":"10.1515/fca-2021-0063","title":"Green’s Function for the Fractional KDV Equation on the Periodic Domain via Mittag-Leffler Function","year":2021,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Korteweg–de Vries equation; Function (biology); Mittag-Leffler function; Mathematics; Domain (mathematical analysis); Mathematical analysis; Fractional calculus; Pure mathematics; Applied mathematics; Physics; Biology","retraction":null,"screen_n_in":null,"score":{"opus":0.04874825447801706,"gpt":0.2852340277789739,"spread":0.2364857733009568,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006740522,0.0002900218,0.0003241858,0.0002573296,0.002199317,0.0001959497,0.0001256313,0.0001823573,0.0024723],"category_scores_gemma":[0.0002616131,0.0001972014,0.0005259252,0.001139325,0.000145985,0.0002326277,0.00004995207,0.0004412471,0.0001124729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002224927,"about_ca_system_score_gemma":0.0001268337,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000132829,"about_ca_topic_score_gemma":0.0004627881,"domain_scores_codex":[0.9976482,0.0001475153,0.0005071713,0.0005529685,0.0008508898,0.0002932982],"domain_scores_gemma":[0.9951491,0.003516646,0.0003347847,0.0004502721,0.0004538833,0.0000952815],"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":[0.0003733765,0.0004212764,0.0001300237,0.00002098634,0.00303669,6.671285e-7,0.0001098701,0.01164752,0.001760484,0.9680026,0.006190293,0.008306188],"study_design_scores_gemma":[0.001278782,0.0001372904,0.03255157,0.00002018009,0.007156096,0.00001995677,0.002048331,0.1986343,0.0002836885,0.6397527,0.117505,0.0006120775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008958623,0.0001772431,0.9753709,0.01247224,0.0004722547,0.0005365233,0.0001067222,0.0000775665,0.00182796],"genre_scores_gemma":[0.9917005,0.00004374632,0.001378999,0.001438004,0.001008291,0.0009785664,0.0006347311,0.00003700781,0.002780113],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9827419,"threshold_uncertainty_score":0.9990997,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2034834781","doi":"10.2478/s13540-011-0022-8","title":"The Chen-Marchaud fractional integro-differentiation in the variable exponent Lebesgue spaces","year":2011,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Chen; Fractional calculus; Lp space; Operator (biology); Lebesgue integration; Lebesgue–Stieltjes integration; Pure mathematics; Truncation (statistics); Exponent; Mathematical analysis; Operator theory; Banach space; Riemann integral; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.05779722217805647,"gpt":0.3175126925405216,"spread":0.2597154703624651,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001248834,0.0002030851,0.0003351903,0.0002929629,0.0006327819,0.0001272198,0.0003106586,0.0001014541,0.000966052],"category_scores_gemma":[0.0002232583,0.0001181037,0.0002077768,0.001264172,0.000161757,0.0001602121,0.00009890793,0.0005670229,0.00002989972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001262322,"about_ca_system_score_gemma":0.00005704198,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004980091,"about_ca_topic_score_gemma":0.0006716684,"domain_scores_codex":[0.9978038,0.0001702267,0.0004401451,0.0003861756,0.0008487922,0.0003508774],"domain_scores_gemma":[0.9977467,0.001427392,0.0002350653,0.0003804944,0.0001295909,0.00008073302],"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":[0.0002314185,0.0005557559,0.003784822,0.00002271194,0.002135895,0.000005503552,0.001472346,0.001250602,0.0005823435,0.9857317,0.00149156,0.002735394],"study_design_scores_gemma":[0.001286303,0.00007615093,0.08200919,0.00002392372,0.002822131,0.0000188896,0.01753424,0.08684588,0.0008036998,0.7787776,0.02902117,0.00078082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1219629,0.0004512436,0.8537481,0.002280715,0.00009864369,0.00060193,0.00003479651,0.00006612129,0.02075556],"genre_scores_gemma":[0.9956968,0.0001818766,0.002670417,0.0001026671,0.0001356106,0.0002097526,0.00005782148,0.00001553286,0.000929538],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8737339,"threshold_uncertainty_score":0.9999472,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4405897435","doi":"10.1007/s13540-024-00365-2","title":"On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators","year":2024,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Boundary value problem; Mathematical analysis; Partial differential equation; Fractional calculus; Nonlinear system; Integro-differential equation; Inverse; Applied mathematics; First-order partial differential equation; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02661772589055427,"gpt":0.2921766522925909,"spread":0.2655589264020366,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002853746,0.0002569568,0.0003578815,0.0004448322,0.0005354576,0.0001450903,0.0001467109,0.0001714563,0.001372982],"category_scores_gemma":[0.0001172488,0.0001899696,0.0004606129,0.001264258,0.0002060768,0.0002133031,0.00008120287,0.000533231,0.00006753853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002162977,"about_ca_system_score_gemma":0.0002192901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001812324,"about_ca_topic_score_gemma":0.0001248565,"domain_scores_codex":[0.9977576,0.0001115666,0.0005833352,0.0004599407,0.0008701266,0.0002174253],"domain_scores_gemma":[0.9984891,0.0007639636,0.0002071361,0.0002740073,0.0001637482,0.0001020305],"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":[0.0001064534,0.0005292202,0.0001467098,0.0000699282,0.002105052,0.000001322255,0.0001699277,0.02476206,0.004014313,0.9644118,0.001982944,0.001700246],"study_design_scores_gemma":[0.0004714381,0.00006283246,0.003326459,0.00006874908,0.002965237,0.00001010951,0.0001642203,0.8179211,0.002341239,0.1666148,0.005673475,0.0003803728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2925759,0.00005710237,0.7017259,0.001424654,0.0006515166,0.0004842878,0.0002764737,0.0001322989,0.00267189],"genre_scores_gemma":[0.9952858,0.00001090954,0.0032934,0.0001133729,0.0004023472,0.0001048846,0.0002473139,0.00002897701,0.0005129879],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.797797,"threshold_uncertainty_score":0.9995399,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037421527","doi":"10.2478/s13540-013-0029-4","title":"Fractional operators in the matrix variate case","year":2013,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":8,"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":"Complement (music); Scalar (mathematics); Random variate; Fourier integral operator; Matrix (chemical analysis); Limiting; Cover (algebra); Algebra over a field; Matrix function","retraction":null,"screen_n_in":null,"score":{"opus":0.03819010628930695,"gpt":0.3368339408806114,"spread":0.2986438345913044,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004539434,0.0001552636,0.000288008,0.0001528418,0.0002969407,0.0001579729,0.0001147033,0.00008326962,0.003103382],"category_scores_gemma":[0.00006244084,0.0001018122,0.0001398583,0.0007711664,0.00005680969,0.0001153433,0.00003797928,0.0002385964,0.0001162047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003182719,"about_ca_system_score_gemma":0.0000182634,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006797116,"about_ca_topic_score_gemma":0.0001209519,"domain_scores_codex":[0.9987547,0.00005775613,0.0004156508,0.0002581721,0.0003101025,0.0002035997],"domain_scores_gemma":[0.9985141,0.0009581308,0.000115246,0.000261227,0.00006786853,0.00008338895],"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":[0.000003668523,0.0001968074,0.0001650877,0.00002126013,0.0002307358,0.00001261143,0.000291905,0.0003051598,0.00005678804,0.9959973,0.002457615,0.0002610875],"study_design_scores_gemma":[0.0007253427,0.00002678209,0.005261916,0.00001125002,0.00144811,0.0004648512,0.01018711,0.09086008,0.0000589045,0.8783466,0.01198915,0.0006198842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7771466,0.00006817783,0.1933065,0.006126862,0.00004858485,0.0009052258,0.00008612506,0.00008416308,0.02222771],"genre_scores_gemma":[0.9942189,0.00000867483,0.00404548,0.0004414979,0.0001314699,0.000463262,0.00002968781,0.00001116447,0.0006498324],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2170723,"threshold_uncertainty_score":0.9978079,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4405022758","doi":"10.1007/s13540-024-00359-0","title":"Strong stationarity for non-smooth control problems with fractional semi-linear elliptic equations in dimension $$N\\le 3$$","year":2024,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Army Research Office","keywords":"Differentiable function; Mathematics; Regularization (linguistics); Applied mathematics; Nonlinear system; Dimension (graph theory); Operator (biology); Algorithm; Mathematical analysis; Pure mathematics; Computer science; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.03018786183958376,"gpt":0.3115187568561474,"spread":0.2813308950165637,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003481202,0.0002018879,0.0003617996,0.0004049839,0.0002804525,0.0001057016,0.00005898557,0.0001010933,0.0001564897],"category_scores_gemma":[0.00007542959,0.0001732285,0.0001585603,0.0008260033,0.00006429957,0.0002070395,0.0000141476,0.0002527676,0.00001760314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001074802,"about_ca_system_score_gemma":0.0001907766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001781732,"about_ca_topic_score_gemma":0.001264148,"domain_scores_codex":[0.9984192,0.00003780374,0.0004364446,0.000442942,0.0004217078,0.0002418482],"domain_scores_gemma":[0.9981701,0.001292712,0.0001253983,0.0001540098,0.0001584877,0.00009928013],"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":[0.0002013569,0.000698582,0.0007642635,0.0002029507,0.001857866,0.000003540469,0.0003053416,0.254497,0.004028998,0.7361596,0.0003207776,0.0009597362],"study_design_scores_gemma":[0.001013259,0.0000522839,0.003329582,0.00003707966,0.001180293,0.000001581303,0.0002180356,0.9645085,0.000150757,0.02829699,0.0009715764,0.000240003],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05086601,0.00004976901,0.9469855,0.0007590505,0.00005405369,0.0006010355,0.0002774804,0.00006502824,0.000342093],"genre_scores_gemma":[0.9890561,0.000006218661,0.009226386,0.00004702291,0.0002058148,0.0004033736,0.0006497634,0.00003060052,0.0003747435],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.93819,"threshold_uncertainty_score":0.7064054,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2152784817","doi":"10.2478/s13540-014-0205-1","title":"FCAA related news, events and books (FCAA-Volume 17-4-2014)","year":2014,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Diverse Scientific and Economic Studies","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Russian Academy of Sciences; Cairo University; Leverhulme Trust; University of Alberta; University of South Florida; Imperial College London; City University of Hong Kong","keywords":"Mathematics; Volume (thermodynamics); Thermodynamics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.01281443916916494,"gpt":0.1921696323943875,"spread":0.1793551932252226,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004281473,0.0001614784,0.0004922215,0.0003089812,0.000315897,0.00009082668,0.0000884399,0.00009341091,0.004350689],"category_scores_gemma":[0.00002334461,0.000172626,0.0001570245,0.000265899,0.0001076345,0.0001341685,0.00009267443,0.0001220689,0.002085006],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000046443,"about_ca_system_score_gemma":0.000006198582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003041814,"about_ca_topic_score_gemma":0.00003721327,"domain_scores_codex":[0.9986737,0.000008505596,0.0004372127,0.0005916778,0.00005287688,0.0002360513],"domain_scores_gemma":[0.9993476,0.00004531137,0.0002573298,0.0002004155,0.00002036971,0.0001289694],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00005317951,0.0001498867,0.1662851,0.00002752937,0.003442531,0.000001628357,0.0004931811,0.002569584,0.00002301476,0.6316731,0.1909298,0.004351491],"study_design_scores_gemma":[0.0008216654,0.00002410431,0.1280145,0.000003714644,0.0003483601,0.000003195031,0.0004490991,0.03219745,0.000005605288,0.02018878,0.817472,0.0004715224],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2106594,0.001544801,0.0102929,0.001245781,0.0008887094,0.0002343044,0.0005075097,0.00008842521,0.7745382],"genre_scores_gemma":[0.8881256,0.0002455632,0.0002080672,0.0003171168,0.00009856065,0.00001667995,0.00005704651,0.00001105649,0.1109203],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6774662,"threshold_uncertainty_score":0.998692,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}