{"id":"W2730781544","doi":"10.1142/s0218348x17400023","title":"NON-DIFFERENTIABLE EXACT SOLUTIONS FOR THE NONLINEAR ODES DEFINED ON FRACTAL SETS","year":2017,"lang":"en","type":"article","venue":"Fractals","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Priority Academic Program Development of Jiangsu Higher Education Institutions; National Natural Science Foundation of China","keywords":"Differentiable function; Ode; Mathematics; Fractal; Fractional calculus; Nonlinear system; Applied mathematics; Pure mathematics; Mathematical analysis; Function (biology); Cantor function; Cantor set","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":[0.0003197125,0.0005043597,0.0004149788,0.001278405,0.0005948937,0.001017507,0.0003911891,0.0006801349,0.001338997],"category_scores_gemma":[0.001531611,0.0001278679,0.0005507583,0.0005128999,0.001260761,0.001456089,0.0005958575,0.000691024,0.0001330172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006842219,"about_ca_system_score_gemma":0.0003565579,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009094983,"about_ca_topic_score_gemma":0.0006206908,"domain_scores_codex":[0.9998306,0.00003956162,0.00001247625,0.00002693081,0.00006182989,0.00002847759],"domain_scores_gemma":[0.9996133,0.0001257289,0.00009451123,0.00003774204,0.00008469944,0.00004403344],"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":[0.00002455834,0.00001411081,0.0007522064,0.00008630152,0.00001824283,0.0003451714,0.0002363775,0.03155963,0.007444924,0.9491975,0.0004420769,0.00987892],"study_design_scores_gemma":[0.00001585155,0.00006679176,0.001370842,0.00003801657,0.00001575616,0.0007132135,0.0002839746,0.4147774,0.004590876,0.5731437,0.004936087,0.00004737717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5739661,0.003325709,0.3966615,0.0005816418,0.0002682034,0.00003231978,0.0001153959,0.0001199612,0.02492918],"genre_scores_gemma":[0.9751737,0.0009265159,0.01875917,0.00003889915,0.00007032631,0.00002851405,0.00008016664,0.00001783381,0.004904907],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001338997,"threshold_uncertainty_score":0.004964352,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.125570508627684,"score_gpt":0.3710255963858572,"score_spread":0.2454550877581732,"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."}}