{"id":"W2049534077","doi":"10.1016/j.aml.2009.11.010","title":"Application of a new integral expansion for solving a class of functional equations","year":2009,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Remainder; Taylor series; Class (philosophy); Mathematical analysis; Analytic function; Function (biology); Series (stratigraphy); Series expansion; Order (exchange); Type (biology); Pure mathematics; Derivative (finance); Applied mathematics; Arithmetic","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":[0.0002560911,0.0001768043,0.0003456254,0.0002253233,0.0001068674,0.00001335629,0.0001712109,0.00009268247,0.00004044054],"category_scores_gemma":[0.0004373308,0.0001754662,0.0001809138,0.0002894643,0.00006744952,0.0001004552,0.00002349152,0.0001168605,0.00001046765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008604689,"about_ca_system_score_gemma":0.0000901783,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001134504,"about_ca_topic_score_gemma":0.000007905542,"domain_scores_codex":[0.9984526,0.000008245003,0.0007439767,0.0002114846,0.0003875918,0.0001961176],"domain_scores_gemma":[0.9976681,0.001145403,0.000564076,0.0003929423,0.0001668185,0.00006263273],"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":[0.00002150219,0.000291449,0.000001357395,0.00009308026,0.00003664218,2.582134e-8,0.000521583,0.0006339033,0.3393874,0.6529884,0.003818538,0.002206102],"study_design_scores_gemma":[0.001033722,0.00007586681,0.0002530594,0.00009939671,0.0002319639,0.00000267566,0.0005006499,0.06019228,0.02144655,0.9157466,0.0001677152,0.0002495082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03983198,0.000006429952,0.9568906,0.001374763,0.00006469649,0.000903477,0.00002343258,0.00007043314,0.0008341118],"genre_scores_gemma":[0.7078311,9.685012e-7,0.2916664,0.0001487216,0.00008122776,0.0001261034,0.00005630004,0.0000207436,0.00006839199],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6679991,"threshold_uncertainty_score":0.7155304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06212042940530818,"score_gpt":0.3036519617099977,"score_spread":0.2415315323046895,"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."}}