{"id":"W4409374791","doi":"10.1016/b978-0-443-23942-7.00016-4","title":"Higher-order stochastic averaging method in fractional stochastic dynamics","year":2025,"lang":"en","type":"book-chapter","venue":"Elsevier eBooks","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Order (exchange); Dynamics (music); Applied mathematics; Mathematics; Statistical physics; Stochastic dynamics; Physics; Economics","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":[0.0006189284,0.0005940259,0.0007588309,0.0007990889,0.000363195,0.00125624,0.0006350926,0.0007442613,0.004240667],"category_scores_gemma":[0.001066498,0.0002291599,0.0007909087,0.0009105006,0.0008027779,0.001209507,0.000625909,0.001452246,0.0007214352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00072368,"about_ca_system_score_gemma":0.0004590249,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00145784,"about_ca_topic_score_gemma":0.001577745,"domain_scores_codex":[0.9998295,0.00006311211,0.00001033642,0.00002756522,0.00005676356,0.00001263772],"domain_scores_gemma":[0.9997283,0.0001533628,0.00001940321,0.00002607926,0.00005279593,0.00002007234],"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":[0.00001560021,0.00002535513,0.000130565,0.0001375937,0.00002666122,0.00007540822,0.00007241475,0.03100907,0.002606842,0.91717,0.003911341,0.04481895],"study_design_scores_gemma":[0.00000472012,0.00002345511,0.0002926549,0.00003232912,0.00002071664,0.0001180274,0.00001578205,0.5024008,0.0009694515,0.4733175,0.0227852,0.00001928147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0104464,0.00960838,0.9370143,0.000646451,0.001573867,0.00001701689,0.00008562684,0.0002577628,0.04035011],"genre_scores_gemma":[0.4396406,0.01595271,0.3870601,0.0005115718,0.003147439,0.0001241988,0.0003553719,0.0005877163,0.1526204],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004240667,"threshold_uncertainty_score":0.01418644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03595841234327747,"score_gpt":0.3250134721637385,"score_spread":0.2890550598204611,"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."}}