{"id":"W4413467888","doi":"10.28924/2291-8639-23-2025-190","title":"Solvability of a Nonlocal Integral Problem of a Mixed Type Derivatives Functional Integro-Differential Equation","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Uniqueness; Type (biology); Integer (computer science); Differential equation; Stability (learning theory); Integro-differential equation; Mathematical analysis; Applied mathematics; Order (exchange); Fractional calculus; Integral equation; Work (physics); Differential (mechanical device); First-order partial differential equation; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001209178,0.0007577333,0.001108881,0.0006631811,0.0007034332,0.001630537,0.0007202784,0.002225237,0.001388392],"category_scores_gemma":[0.002888314,0.0003683371,0.0007866087,0.0003336752,0.001697738,0.001850573,0.001907158,0.001227777,0.00008264819],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007707029,"about_ca_system_score_gemma":0.0007367648,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001546537,"about_ca_topic_score_gemma":0.000888066,"domain_scores_codex":[0.999666,0.0001253302,0.0000155928,0.00008171985,0.00006392707,0.00004744232],"domain_scores_gemma":[0.9990857,0.0005334425,0.0001476461,0.0000290619,0.000100225,0.0001038726],"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":[0.0003890299,0.0002985485,0.004599852,0.0007044395,0.0003126849,0.003750803,0.001063547,0.2828854,0.03972668,0.6494979,0.002316515,0.01445454],"study_design_scores_gemma":[0.00006229819,0.0001086672,0.0007236265,0.00002996472,0.00003683552,0.0004451459,0.0002271623,0.9249823,0.002435842,0.06999456,0.0009256824,0.0000279618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.548456,0.001877519,0.428908,0.002981771,0.0002252551,0.00007780758,0.00009379086,0.00007755133,0.01730245],"genre_scores_gemma":[0.9744129,0.0003240122,0.01688482,0.0001194033,0.000108038,0.00007213787,0.00004167836,0.00002895164,0.008008054],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002225237,"threshold_uncertainty_score":0.006394863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0357045774186178,"score_gpt":0.3405439105866726,"score_spread":0.3048393331680548,"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."}}