{"id":"W4384524478","doi":"10.21203/rs.3.rs-3164734/v1","title":"Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function *","year":2023,"lang":"en","type":"preprint","venue":"Research Square","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Mittag-Leffler function; Uniqueness; Nonlinear system; Multivariate statistics; Partial differential equation; Applied mathematics; Fractional calculus; Boundary value problem; Function (biology); Mathematical analysis; Pure mathematics; Statistics","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":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002433513,0.000633501,0.0006213591,0.001061342,0.001342266,0.0005207292,0.0007958055,0.000949626,0.003020222],"category_scores_gemma":[0.006283758,0.000498198,0.0006791099,0.0009301973,0.0002558746,0.000289578,0.001063698,0.004728402,0.002198153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001135088,"about_ca_system_score_gemma":0.001253806,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003631673,"about_ca_topic_score_gemma":0.0008793646,"domain_scores_codex":[0.9907373,0.002324931,0.001105014,0.001231273,0.003611602,0.0009899471],"domain_scores_gemma":[0.990813,0.005287854,0.0005160999,0.001591579,0.0014414,0.00035008],"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":[0.005800627,0.004774394,0.0001895753,0.001370816,0.003458393,0.00004779297,0.002613947,0.05450925,0.008145439,0.5159562,0.3778819,0.02525174],"study_design_scores_gemma":[0.001758222,0.0003308006,0.005821479,0.0008142761,0.000283368,0.000005249881,0.0002400989,0.4375503,0.0004795665,0.539454,0.01258865,0.0006739651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01449395,0.00006894386,0.9591345,0.0147468,0.005331329,0.003986757,0.0004828076,0.0007053594,0.001049573],"genre_scores_gemma":[0.9132566,0.0002637673,0.01788724,0.0002204676,0.01686566,0.003825141,0.008250832,0.0006287774,0.03880153],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9412472,"threshold_uncertainty_score":0.9999579,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.25482252113972,"score_gpt":0.4540303459893952,"score_spread":0.1992078248496753,"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."}}