{"id":"W4405897435","doi":"10.1007/s13540-024-00365-2","title":"On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators","year":2024,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Boundary value problem; Mathematical analysis; Partial differential equation; Fractional calculus; Nonlinear system; Integro-differential equation; Inverse; Applied mathematics; First-order partial differential equation; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002853746,0.0002569568,0.0003578815,0.0004448322,0.0005354576,0.0001450903,0.0001467109,0.0001714563,0.001372982],"category_scores_gemma":[0.0001172488,0.0001899696,0.0004606129,0.001264258,0.0002060768,0.0002133031,0.00008120287,0.000533231,0.00006753853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002162977,"about_ca_system_score_gemma":0.0002192901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001812324,"about_ca_topic_score_gemma":0.0001248565,"domain_scores_codex":[0.9977576,0.0001115666,0.0005833352,0.0004599407,0.0008701266,0.0002174253],"domain_scores_gemma":[0.9984891,0.0007639636,0.0002071361,0.0002740073,0.0001637482,0.0001020305],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001064534,0.0005292202,0.0001467098,0.0000699282,0.002105052,0.000001322255,0.0001699277,0.02476206,0.004014313,0.9644118,0.001982944,0.001700246],"study_design_scores_gemma":[0.0004714381,0.00006283246,0.003326459,0.00006874908,0.002965237,0.00001010951,0.0001642203,0.8179211,0.002341239,0.1666148,0.005673475,0.0003803728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2925759,0.00005710237,0.7017259,0.001424654,0.0006515166,0.0004842878,0.0002764737,0.0001322989,0.00267189],"genre_scores_gemma":[0.9952858,0.00001090954,0.0032934,0.0001133729,0.0004023472,0.0001048846,0.0002473139,0.00002897701,0.0005129879],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.797797,"threshold_uncertainty_score":0.9995399,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02661772589055427,"score_gpt":0.2921766522925909,"score_spread":0.2655589264020366,"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."}}