{"id":"W4411642315","doi":"10.18822/byusu20250275-78","title":"On the Numerical Solution of the Basic Equation of Wave Mechanics with the Gerasimov – Caputo Fractional Derivative","year":2025,"lang":"en","type":"article","venue":"Yugra State University Bulletin","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Optech (Canada)","funders":"","keywords":"Fractional calculus; Derivative (finance); Mathematics; Mathematical analysis; Classical mechanics; Physics","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":[0.001017657,0.0005628298,0.0006918645,0.0006796514,0.0008394232,0.0009958275,0.0006850655,0.001155824,0.001924458],"category_scores_gemma":[0.003125789,0.0002356932,0.0007102973,0.0007853984,0.001847945,0.00119966,0.000985372,0.001360216,0.000270241],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007829764,"about_ca_system_score_gemma":0.001061073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002556518,"about_ca_topic_score_gemma":0.001074511,"domain_scores_codex":[0.9995981,0.0001554326,0.000019482,0.00005249002,0.0001478153,0.00002676807],"domain_scores_gemma":[0.9994079,0.0003581214,0.00006329533,0.00004441634,0.0001083882,0.00001788193],"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":[0.0001164382,0.00007547873,0.00122999,0.0007446557,0.00005454804,0.0003177729,0.0004854605,0.3710319,0.01542831,0.5518436,0.002015012,0.05665684],"study_design_scores_gemma":[0.00001459585,0.00005246472,0.0002645611,0.00005673276,0.00001284475,0.0000993048,0.00003521489,0.9350477,0.00247266,0.05776757,0.004156544,0.00001970747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03571112,0.004039771,0.9366367,0.001081378,0.000352919,0.0001072715,0.00005020458,0.00007329859,0.02194727],"genre_scores_gemma":[0.660215,0.006399105,0.3208677,0.0002708861,0.0003044813,0.0003062145,0.0001423269,0.00009839472,0.01139589],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002556518,"threshold_uncertainty_score":0.006437957,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03069625570331524,"score_gpt":0.2297745872036845,"score_spread":0.1990783315003693,"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."}}