{"id":"W2949067325","doi":"10.3390/math7060533","title":"The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral","year":2019,"lang":"en","type":"article","venue":"Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"King Abdulaziz University","keywords":"Mathematics; Fractional calculus; Langevin equation; Operator (biology); Mathematical analysis; Boundary value problem; Nonlinear system; Type (biology); Boundary (topology); Applied mathematics; Physics; Classical mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008891416,0.0007685969,0.0009757943,0.000576872,0.0008916855,0.001539987,0.001070236,0.00203332,0.001593221],"category_scores_gemma":[0.001976058,0.0002816297,0.000964142,0.0004075509,0.002533343,0.002488056,0.001501253,0.001731221,0.0001829699],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008004836,"about_ca_system_score_gemma":0.001207486,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001510816,"about_ca_topic_score_gemma":0.001263243,"domain_scores_codex":[0.999724,0.00007486214,0.00001713942,0.00005110318,0.00008423931,0.0000486433],"domain_scores_gemma":[0.9996383,0.0001558987,0.00007170794,0.00003440706,0.00006174576,0.00003791146],"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":[0.00002764134,0.00001780939,0.0002198882,0.00009513749,0.00001609951,0.0003476829,0.0002125471,0.03021863,0.01200669,0.953989,0.0003598774,0.002488961],"study_design_scores_gemma":[0.00004047816,0.00005051713,0.0003026903,0.00006108418,0.00002699553,0.0003257967,0.0001421274,0.6414292,0.004840586,0.3483825,0.004344655,0.00005339893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2196915,0.002573464,0.7336327,0.00273136,0.0006354019,0.00008837406,0.0001147653,0.0001437421,0.04038864],"genre_scores_gemma":[0.9072737,0.001270728,0.07672609,0.0004416521,0.0002611188,0.0001148896,0.00006767943,0.00006100622,0.01378323],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00203332,"threshold_uncertainty_score":0.005807996,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05022408681764745,"score_gpt":0.3148757851936859,"score_spread":0.2646516983760385,"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."}}