{"id":"W4309554685","doi":"10.1002/mma.8890","title":"Conditions to guarantee the existence of solutions for a nonlinear and implicit integro‐differential equation with variable coefficients","year":2022,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Banach space; Variable (mathematics); Fixed-point theorem; Integro-differential equation; Nonlinear system; Mathematical analysis; Differential equation; Applied mathematics; First-order partial differential 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":[0.0034945,0.001822351,0.001331334,0.001737933,0.001170397,0.002198889,0.001209421,0.002757153,0.003368019],"category_scores_gemma":[0.01705277,0.0007311751,0.00100224,0.0007977517,0.002707001,0.002341189,0.002734132,0.003266249,0.0008159563],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008102271,"about_ca_system_score_gemma":0.002371571,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001054986,"about_ca_topic_score_gemma":0.0007462896,"domain_scores_codex":[0.9990377,0.0002868807,0.00009699325,0.000176826,0.0002755323,0.0001260075],"domain_scores_gemma":[0.9933792,0.003549208,0.0007901146,0.0002905055,0.00160348,0.0003874554],"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":[0.0004017772,0.0002160683,0.001877004,0.001130437,0.0001320861,0.001306826,0.0009806578,0.07866164,0.09439181,0.7869774,0.006095355,0.02782885],"study_design_scores_gemma":[0.0002962538,0.0006164553,0.002367688,0.0004964099,0.0001385616,0.001169267,0.0009388609,0.581674,0.06238637,0.3307643,0.01889162,0.0002601969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1575461,0.00205094,0.7980798,0.002134447,0.0007122951,0.0003667195,0.0005605061,0.0003246829,0.03822452],"genre_scores_gemma":[0.8052378,0.002244553,0.1774659,0.0004889223,0.0005155681,0.0009851264,0.0007008009,0.0002374364,0.01212383],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0034945,"threshold_uncertainty_score":0.0184809,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1736352531837045,"score_gpt":0.4321273071485255,"score_spread":0.258492053964821,"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."}}