{"id":"W3024986605","doi":"10.1090/proc/15169","title":"Equivalence of higher order linear Riemann-Liouville fractional differential and integral equations","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Fractional calculus; Equivalence (formal languages); Order (exchange); Mathematical analysis; Differential equation; Operator (biology); Linear differential equation; Volterra integral equation; Differential operator; Integral equation; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001513877,0.0001899195,0.0004584363,0.00002772378,0.0001791448,0.00002310191,0.0003236913,0.00006292904,0.0003884246],"category_scores_gemma":[0.001934431,0.0001367187,0.0003082663,0.0006737604,0.001033275,0.0001812707,0.0002790646,0.0003076992,0.000009630398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004894905,"about_ca_system_score_gemma":0.00005669404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001972659,"about_ca_topic_score_gemma":6.079273e-7,"domain_scores_codex":[0.9983638,0.00001754952,0.0005445195,0.0002476582,0.0006166465,0.0002098198],"domain_scores_gemma":[0.9978043,0.0007824661,0.0006825652,0.0001237305,0.000488865,0.0001180945],"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":[0.00004965939,0.0005223537,0.000702384,0.0005787719,0.0002805926,4.423908e-8,0.002443569,0.00001616948,0.02799365,0.9625598,0.004652072,0.0002009335],"study_design_scores_gemma":[0.0009925381,0.0003649729,0.009160252,0.0003379113,0.000712366,0.000008300415,0.005247721,0.1151327,0.006875796,0.8602511,0.0003458391,0.0005705142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8908415,0.00002219872,0.09717195,0.00899651,0.00008460898,0.0004992785,0.00006702593,0.0001038395,0.002213073],"genre_scores_gemma":[0.9394875,0.00001215754,0.05986611,0.0002121575,0.0001150482,0.00003281718,0.000002263075,0.00002602471,0.0002458937],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1151165,"threshold_uncertainty_score":0.5575226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05483616629740455,"score_gpt":0.3233200016073095,"score_spread":0.2684838353099049,"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."}}