{"id":"W4412954648","doi":"10.3390/fractalfract9080505","title":"An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions","year":2025,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Fractional calculus; Type (biology); Mathematics; Pure mathematics; Applied mathematics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0002468193,0.0001544137,0.0002665812,0.0005091316,0.0001801467,0.00001217284,0.00009277673,0.0001297074,0.0005619877],"category_scores_gemma":[0.0004661164,0.0001384856,0.00009285414,0.0007807054,0.0001838851,0.000233016,0.00002689164,0.0002140653,0.00001735403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005167624,"about_ca_system_score_gemma":0.0001178569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005539191,"about_ca_topic_score_gemma":0.000005365093,"domain_scores_codex":[0.9988173,0.00006465411,0.0003994537,0.0002655217,0.0003269957,0.0001260541],"domain_scores_gemma":[0.9977883,0.001250259,0.0003127684,0.0002322501,0.0003505904,0.00006580209],"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":[0.001634957,0.003674274,0.05397922,0.0003414129,0.0007123797,0.000001758885,0.0002625362,0.001277281,0.01075347,0.8934902,0.01266729,0.02120522],"study_design_scores_gemma":[0.002246642,0.001664804,0.3496555,0.0001960088,0.0004402918,0.0000294972,0.005072542,0.02092742,0.006607406,0.4850384,0.1274145,0.0007069506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6142502,0.0002108428,0.3671506,0.000933458,0.0006026989,0.0003072955,0.00009301429,0.00008056586,0.01637126],"genre_scores_gemma":[0.9952679,0.00004793127,0.001047749,0.0001192484,0.0001277289,0.0000178754,0.00007599799,0.00001121741,0.003284354],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4084518,"threshold_uncertainty_score":0.6153371,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0233179676441722,"score_gpt":0.2996296934457854,"score_spread":0.2763117258016132,"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."}}