{"id":"W2943017870","doi":"10.3390/sym11050608","title":"Generalized Mittag-Leffler Input Stability of the Fractional Differential Equations","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"","keywords":"Fractional calculus; Stability (learning theory); Mathematics; Differential equation; Applied mathematics; Mittag-Leffler function; Lyapunov function; Mathematical analysis; Computer science; Nonlinear system; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002064597,0.0001579818,0.0002475581,0.0001212809,0.0001827739,0.00002339246,0.0002759281,0.0001265548,0.004747812],"category_scores_gemma":[0.001041438,0.0001197215,0.0002869251,0.000436988,0.0001153729,0.0002077838,0.000129913,0.0002838097,0.0001965886],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001603485,"about_ca_system_score_gemma":0.0001770136,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001258252,"about_ca_topic_score_gemma":0.00009738022,"domain_scores_codex":[0.9982299,0.000224169,0.0004768974,0.0002488648,0.0006146571,0.0002054651],"domain_scores_gemma":[0.9976134,0.001123237,0.0002760911,0.0006868428,0.0002455957,0.00005486799],"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":[0.00003179839,0.0006688093,0.01260231,0.00007069807,0.0001597829,9.018131e-8,0.000199439,0.00008609626,0.0192,0.9646478,0.002108454,0.0002247262],"study_design_scores_gemma":[0.002925692,0.00009819757,0.2458812,0.0001221491,0.0004187248,0.000007617625,0.0005419998,0.02354991,0.02559056,0.6969708,0.003166019,0.0007271816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9432685,0.00002212457,0.04841409,0.0007276577,0.001498801,0.0005806207,0.0001282216,0.00006517418,0.005294817],"genre_scores_gemma":[0.9955077,0.000002005944,0.002097486,0.0000582507,0.0001412202,0.00003974085,0.00003666261,0.00002305227,0.0020939],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.267677,"threshold_uncertainty_score":0.996162,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05431621810869492,"score_gpt":0.3125254268407863,"score_spread":0.2582092087320914,"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."}}