{"id":"W4401947541","doi":"10.1016/j.ifacol.2024.08.206","title":"Uniqueness and existence for a fractional differential equation with functional boundary condition","year":2024,"lang":"en","type":"article","venue":"IFAC-PapersOnLine","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Uniqueness; Fixed-point theorem; Boundary value problem; Mathematical analysis; Picard–Lindelöf theorem; Banach fixed-point theorem; Differential equation; Fractional calculus; Function (biology); Schauder fixed point theorem; Nonlinear system; Banach space; Uniqueness theorem for Poisson's equation","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001905343,0.0008259541,0.001074838,0.001127272,0.001305637,0.001335443,0.0008591347,0.002592941,0.0009262176],"category_scores_gemma":[0.002791642,0.000374155,0.001634351,0.0005486478,0.002410875,0.002230995,0.002063917,0.001122608,0.0001467749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009342244,"about_ca_system_score_gemma":0.001074484,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001399744,"about_ca_topic_score_gemma":0.0006283347,"domain_scores_codex":[0.9996396,0.0001225251,0.00002509428,0.00007307731,0.00008634137,0.00005324652],"domain_scores_gemma":[0.9993358,0.0003637977,0.0000992677,0.00002993647,0.000126913,0.00004430526],"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":[0.0001634867,0.00007729676,0.002152151,0.0004028533,0.0000976654,0.001634103,0.0009496831,0.1246368,0.0566882,0.7926645,0.0009463542,0.0195869],"study_design_scores_gemma":[0.00005682951,0.0001225363,0.0007209438,0.00006677398,0.0000472374,0.0007879446,0.0002627705,0.842342,0.009368002,0.1432008,0.002935122,0.00008897633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2678617,0.002551131,0.7138977,0.001773063,0.0002647362,0.00006403623,0.00005570672,0.00007890559,0.013453],"genre_scores_gemma":[0.9142998,0.001108839,0.07682258,0.0001639418,0.0001180775,0.0001131819,0.00004504589,0.00003117584,0.007297428],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002592941,"threshold_uncertainty_score":0.01007652,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0660716483888263,"score_gpt":0.3322644737736981,"score_spread":0.2661928253848718,"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."}}