{"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,"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","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000861098,0.00008983869,0.0001240259,0.0002111917,0.0003886319,0.00007074753,0.0002860716,0.00005722243,0.00007243788],"category_scores_gemma":[0.001377406,0.00008525469,0.00002051268,0.0007220262,0.0004573115,0.0005444916,0.0002596804,0.0002208135,0.00003095689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001301874,"about_ca_system_score_gemma":0.0001439191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004348202,"about_ca_topic_score_gemma":0.00001435355,"domain_scores_codex":[0.9988726,0.0001284282,0.0002580098,0.0002387541,0.0003392946,0.0001628669],"domain_scores_gemma":[0.9976031,0.001446151,0.0000903098,0.0005545209,0.0002328096,0.00007315286],"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":[0.0000383363,0.0004838126,0.01328131,0.0000162544,0.00001312702,2.854433e-7,0.000515062,0.01008459,0.001783498,0.9444953,0.00003257247,0.02925589],"study_design_scores_gemma":[0.0002477355,0.00002527389,0.04244591,0.00001395663,0.000008770684,0.000003362785,0.00008798755,0.8995717,0.00002244081,0.05506215,0.002405735,0.0001049881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8802954,0.0002322193,0.1121401,0.002174628,0.0001703692,0.0005668344,0.00001494444,0.00007867207,0.004326855],"genre_scores_gemma":[0.9582157,0.00004368409,0.0413453,0.0001119088,0.00002996945,0.00001953159,0.00001665238,0.000007868178,0.0002094142],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8894871,"threshold_uncertainty_score":0.3476585,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07389877970102672,"score_gpt":0.3994176024734502,"score_spread":0.3255188227724235,"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."}}