{"id":"W1973247589","doi":"10.1016/s0898-1221(03)90185-4","title":"Some relationships between certain families of ordinary and fractional differential equations","year":2003,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Fractional calculus; Simple (philosophy); Ordinary differential equation; Time-scale calculus; Series (stratigraphy); Mathematical analysis; Linear differential equation; Differential equation; Multivariable calculus","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":[0.001764637,0.0004788858,0.0006113581,0.002563623,0.001979374,0.001978941,0.0007918865,0.001281489,0.004639912],"category_scores_gemma":[0.007721584,0.0003934227,0.001166846,0.002676253,0.001466357,0.003792913,0.0009612862,0.001656327,0.0002620794],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001265471,"about_ca_system_score_gemma":0.0005108232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001371667,"about_ca_topic_score_gemma":0.0009453213,"domain_scores_codex":[0.999507,0.0001740958,0.00003578823,0.0001020391,0.0001223753,0.00005874391],"domain_scores_gemma":[0.9962538,0.002313058,0.0006177612,0.0001477021,0.0004819114,0.000185585],"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":[0.00002943745,0.00002789763,0.001110323,0.00005315571,0.00002607897,0.0002686259,0.0004244406,0.002375314,0.0005300842,0.9881048,0.001128021,0.00592187],"study_design_scores_gemma":[0.00002579037,0.00002966178,0.001475005,0.00002952513,0.00003133061,0.0005836384,0.0003147735,0.04308643,0.0003164446,0.9483485,0.005734042,0.00002490907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6175936,0.01016558,0.2697576,0.004047069,0.0004129302,0.0001105178,0.0005862527,0.0001545657,0.09717179],"genre_scores_gemma":[0.9623867,0.004101224,0.02254097,0.0004302473,0.0004313973,0.0001077925,0.0004060917,0.00003557534,0.009560034],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004639912,"threshold_uncertainty_score":0.01552206,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0689544089453445,"score_gpt":0.298799141900729,"score_spread":0.2298447329553845,"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."}}