{"id":"W2199280110","doi":"10.1016/b978-0-12-804002-7.00001-2","title":"Introduction to local fractional derivative and integral operators","year":2015,"lang":"en","type":"book-chapter","venue":"Elsevier eBooks","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Burgers' equation; Integro-differential equation; Laplace's equation; Fisher's equation; Kadomtsev–Petviashvili equation; Heat equation; Summation equation; Mathematics; Fokker–Planck equation; Partial differential equation; Diffusion equation; Groundwater flow equation; Mathematical analysis; Wave equation; Independent equation; Helmholtz equation; Riccati equation; Euler equations; Korteweg–de Vries equation; Physics; Nonlinear system; Boundary value problem; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003135468,0.001315269,0.000785344,0.002376323,0.0007796632,0.002235689,0.0006647063,0.001192348,0.04204994],"category_scores_gemma":[0.0005635929,0.0003529807,0.0005151579,0.002552069,0.00148085,0.00325553,0.000923746,0.002555632,0.01266806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001476769,"about_ca_system_score_gemma":0.0009222025,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001044033,"about_ca_topic_score_gemma":0.001516775,"domain_scores_codex":[0.9998562,0.00002119344,0.00000926251,0.00003020826,0.00006914232,0.00001386267],"domain_scores_gemma":[0.9998602,0.0000616094,0.000008858179,0.00001659854,0.00004000872,0.00001278382],"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":[0.00001559345,0.00004683785,0.00006947634,0.000412437,0.00000647023,0.00008175305,0.0004208818,0.0006861674,0.001059794,0.7234753,0.1343119,0.1394134],"study_design_scores_gemma":[0.000003492024,0.00001219692,0.0001609699,0.0002125202,0.000005096452,0.0001485382,0.00006398607,0.000621987,0.0002242303,0.2270007,0.7715369,0.000009278926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.00191289,0.09963356,0.02413138,0.003707429,0.006197253,0.00003147744,0.0003255428,0.0003663699,0.8636941],"genre_scores_gemma":[0.02444878,0.08105987,0.01216805,0.001624438,0.006488526,0.00009815291,0.0003932804,0.0004306305,0.8732883],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.04204994,"threshold_uncertainty_score":0.1406711,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05217659376316366,"score_gpt":0.3110848299504282,"score_spread":0.2589082361872646,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}