{"id":"W4387036159","doi":"10.1002/mma.9669","title":"Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations","year":2023,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Uniqueness; Nonlinear system; Initial value problem; Mathematical analysis; Equivalence (formal languages); Type (biology); Fractional calculus; Applied mathematics; Order (exchange); Pure mathematics","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":[0.003321562,0.0001371988,0.0003313699,0.0002805306,0.0004331358,0.00003259804,0.0003906137,0.00008734276,0.00006981685],"category_scores_gemma":[0.004603722,0.00009661204,0.00007325318,0.001638657,0.0008492282,0.0001010056,0.0001148672,0.0001443571,0.000005104152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002712429,"about_ca_system_score_gemma":0.0001313393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001454237,"about_ca_topic_score_gemma":0.00004680212,"domain_scores_codex":[0.9981255,0.0002236925,0.0006441353,0.0002547352,0.0004796079,0.0002723324],"domain_scores_gemma":[0.9842777,0.01494893,0.0002677312,0.0002678075,0.0002008813,0.00003699577],"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":[0.000009753216,0.0002729254,0.0000100362,0.000243701,0.00001889805,5.770488e-8,0.001250259,0.0004879007,0.005946507,0.9913524,0.00004955508,0.0003579387],"study_design_scores_gemma":[0.0001798371,0.00005473908,0.0002297896,0.00006637347,0.00005139957,0.000002359657,0.001040054,0.147762,0.0009386947,0.8495523,0.00003083627,0.00009154555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03582048,0.00001909768,0.9613765,0.0007243108,0.0001021981,0.0008743749,0.00003717018,0.00004159316,0.00100428],"genre_scores_gemma":[0.2812389,0.000009183975,0.7182474,0.00001479171,0.00003168697,0.0003740901,0.000009626469,0.00001126665,0.00006309275],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2454184,"threshold_uncertainty_score":0.5511418,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3175076312186791,"score_gpt":0.4695381546951451,"score_spread":0.152030523476466,"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."}}