{"id":"W4206810995","doi":"10.1515/fca-2021-0063","title":"Green’s Function for the Fractional KDV Equation on the Periodic Domain via Mittag-Leffler Function","year":2021,"lang":"en","type":"article","venue":"Fractional Calculus and Applied Analysis","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Korteweg–de Vries equation; Function (biology); Mittag-Leffler function; Mathematics; Domain (mathematical analysis); Mathematical analysis; Fractional calculus; Pure mathematics; Applied mathematics; Physics; Biology","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":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006740522,0.0002900218,0.0003241858,0.0002573296,0.002199317,0.0001959497,0.0001256313,0.0001823573,0.0024723],"category_scores_gemma":[0.0002616131,0.0001972014,0.0005259252,0.001139325,0.000145985,0.0002326277,0.00004995207,0.0004412471,0.0001124729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002224927,"about_ca_system_score_gemma":0.0001268337,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000132829,"about_ca_topic_score_gemma":0.0004627881,"domain_scores_codex":[0.9976482,0.0001475153,0.0005071713,0.0005529685,0.0008508898,0.0002932982],"domain_scores_gemma":[0.9951491,0.003516646,0.0003347847,0.0004502721,0.0004538833,0.0000952815],"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":[0.0003733765,0.0004212764,0.0001300237,0.00002098634,0.00303669,6.671285e-7,0.0001098701,0.01164752,0.001760484,0.9680026,0.006190293,0.008306188],"study_design_scores_gemma":[0.001278782,0.0001372904,0.03255157,0.00002018009,0.007156096,0.00001995677,0.002048331,0.1986343,0.0002836885,0.6397527,0.117505,0.0006120775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008958623,0.0001772431,0.9753709,0.01247224,0.0004722547,0.0005365233,0.0001067222,0.0000775665,0.00182796],"genre_scores_gemma":[0.9917005,0.00004374632,0.001378999,0.001438004,0.001008291,0.0009785664,0.0006347311,0.00003700781,0.002780113],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9827419,"threshold_uncertainty_score":0.9990997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04874825447801706,"score_gpt":0.2852340277789739,"score_spread":0.2364857733009568,"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."}}