{"id":"W4361275482","doi":"10.3390/fractalfract7040301","title":"Solving Some Physics Problems Involving Fractional-Order Differential Equations with the Morgan-Voyce Polynomials","year":2023,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Applied mathematics; Differential equation; Robustness (evolution); Algebraic equation; Collocation (remote sensing); Algebraic number; Differential operator; Spectral method; Convergence (economics); Matrix (chemical analysis); Operator (biology); Collocation method; Computer science; Mathematics; Ordinary differential equation; Mathematical analysis; Physics; Nonlinear system","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":[0.0004054649,0.000507164,0.0006312624,0.0004195203,0.0006050245,0.0005861759,0.0006188384,0.0009930246,0.0009959537],"category_scores_gemma":[0.0007316425,0.0002364262,0.0009263058,0.0004423475,0.000647294,0.0008104592,0.000675706,0.001042047,0.0001300575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003609997,"about_ca_system_score_gemma":0.0008260415,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003560719,"about_ca_topic_score_gemma":0.003264695,"domain_scores_codex":[0.9998598,0.00003970754,0.000008534153,0.00002216497,0.00004944785,0.0000202565],"domain_scores_gemma":[0.9998282,0.0001000582,0.00002291709,0.00001701806,0.00002230728,0.000009493751],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004617877,0.00005984937,0.001038312,0.0003466055,0.00005935349,0.0003456983,0.0002469311,0.7912801,0.01494054,0.1532503,0.0007311188,0.03765506],"study_design_scores_gemma":[0.000008533753,0.00001871565,0.00008386734,0.000009941371,0.000007513851,0.0000626703,0.00002825031,0.9875893,0.0012789,0.009298844,0.001605218,0.000008318789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03133031,0.0008059222,0.9626683,0.0002539306,0.0001052476,0.00003399417,0.00002564642,0.00006401692,0.004712623],"genre_scores_gemma":[0.5390394,0.001390995,0.454663,0.0001253812,0.0001033217,0.0001234869,0.00006978847,0.00005500064,0.004429532],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003560719,"threshold_uncertainty_score":0.007080019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05314226933108161,"score_gpt":0.2857664071489704,"score_spread":0.2326241378178888,"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."}}