{"id":"W4391380686","doi":"10.22436/jmcs.033.04.08","title":"Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in R n","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematics and Computer Science","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"","keywords":"Mittag-Leffler function; Mathematics; Partial differential equation; Function (biology); Fractional calculus; Integro-differential equation; Matrix (chemical analysis); Applied mathematics; Matrix function; Mathematical analysis; Pure mathematics; First-order partial differential equation; Physics; Symmetric matrix; Materials science","routes":{"ca_aff":true,"ca_fund":false,"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":[],"consensus_categories":[],"category_scores_codex":[0.001136141,0.00009509933,0.0001778798,0.0004378888,0.0001134741,0.0001431554,0.0002390492,0.0000389908,0.00002420922],"category_scores_gemma":[0.0002023705,0.0000637837,0.00007640775,0.0006847968,0.0001073052,0.0004439237,0.00008046542,0.0002043469,0.00001090835],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008793145,"about_ca_system_score_gemma":0.0001485597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001233247,"about_ca_topic_score_gemma":0.00001126983,"domain_scores_codex":[0.9984294,0.00003380625,0.0006188466,0.0001470328,0.0006446133,0.0001263668],"domain_scores_gemma":[0.9986827,0.0005258838,0.0002734836,0.0001598246,0.0002952828,0.00006287419],"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":[0.0000324853,0.0004914654,0.00007799487,0.000165532,0.00005452061,0.000001814549,0.002544473,0.004467404,0.00621917,0.9408593,0.0007165688,0.04436927],"study_design_scores_gemma":[0.0001441973,0.0001298653,0.001734509,0.0001773641,0.00004975607,0.00005175359,0.0001377217,0.8508657,0.0003041478,0.1458445,0.0004886232,0.00007188145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1438847,0.00004902984,0.8542208,0.001038991,0.0005888434,0.0001737751,0.000002734522,0.000009965454,0.00003120814],"genre_scores_gemma":[0.9428721,0.000008751087,0.05677533,0.00002249332,0.0002791759,0.00001208579,7.535782e-7,0.000007231482,0.00002209447],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8463983,"threshold_uncertainty_score":0.2601024,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04372388545088576,"score_gpt":0.3303987598280684,"score_spread":0.2866748743771827,"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."}}