{"id":"W3210590449","doi":"10.3390/math9212733","title":"Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function","year":2021,"lang":"en","type":"article","venue":"Mathematics","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria; Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hadamard transform; Mathematics; Banach space; Nonlinear system; Hadamard three-lines theorem; Type (biology); Multivariate statistics; Applied mathematics; Mathematical analysis; Function (biology); Differential equation; Pure mathematics; Differential (mechanical device); Hadamard product; Statistics; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.0008119555,0.000189921,0.0005489935,0.0001365373,0.0001996132,0.00002550321,0.0003211858,0.0001294364,0.00007564339],"category_scores_gemma":[0.003566836,0.0001207748,0.0004642305,0.0009316384,0.0002191957,0.00007302069,0.0001287239,0.0001592555,0.000002790124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007273294,"about_ca_system_score_gemma":0.0003168084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004439371,"about_ca_topic_score_gemma":0.0001353353,"domain_scores_codex":[0.9975563,0.000275814,0.001187914,0.0002089937,0.0005600489,0.0002109194],"domain_scores_gemma":[0.9943556,0.002317727,0.0009655667,0.0009038101,0.00141117,0.00004613131],"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":[0.00009819729,0.001427704,0.0003481233,0.004538294,0.001149439,4.417777e-7,0.002729313,0.003353664,0.06321428,0.9224936,0.0002324463,0.000414501],"study_design_scores_gemma":[0.0005553644,0.00006445873,0.0003440189,0.0005036427,0.001786897,0.000001457378,0.001526704,0.9398258,0.02273528,0.03252153,0.00001652681,0.0001182643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1921221,0.00002404269,0.8064097,0.0003316169,0.0001992218,0.0006210947,0.0001446879,0.00002781683,0.0001196663],"genre_scores_gemma":[0.9088011,0.000001385264,0.09074522,0.00001140071,0.00006232549,0.00004237109,0.0000669791,0.00003012944,0.0002390714],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9364722,"threshold_uncertainty_score":0.4925054,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1132612235710652,"score_gpt":0.3184415805467988,"score_spread":0.2051803569757336,"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."}}