{"id":"W2132514794","doi":"10.4134/jkms.2014.51.6.1123","title":"UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 &lt; α &lt; 2","year":2014,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Order (exchange); Mathematical analysis; Measure (data warehouse); Partial differential equation; Hausdorff measure; Series (stratigraphy); Class (philosophy); Differential equation; Work (physics); Applied mathematics; Hausdorff dimension; Thermodynamics","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":[0.0009746858,0.0007280355,0.0008633951,0.001342461,0.0009383815,0.001146043,0.00089457,0.001116612,0.003337892],"category_scores_gemma":[0.002340053,0.000264556,0.001023614,0.000497663,0.001207413,0.001978722,0.00145684,0.001700685,0.0002743398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006632279,"about_ca_system_score_gemma":0.0008422266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001412141,"about_ca_topic_score_gemma":0.0009830091,"domain_scores_codex":[0.9997032,0.0001006017,0.00001824958,0.00004904947,0.00007900425,0.00004985302],"domain_scores_gemma":[0.9994673,0.0002266322,0.0000815917,0.00003076657,0.0001338874,0.00005980254],"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":[0.00007129279,0.0000569609,0.0009200707,0.0002438205,0.00004971019,0.0002661585,0.0003440881,0.05322545,0.01345378,0.8989139,0.001411527,0.03104316],"study_design_scores_gemma":[0.00001828448,0.00005677517,0.0003132525,0.00003785899,0.0000241542,0.0001427715,0.00007354859,0.8406029,0.003144559,0.1523998,0.003153653,0.00003243391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05660507,0.001477845,0.9250895,0.0008273764,0.0002204154,0.0000515643,0.00004718616,0.0001049427,0.01557603],"genre_scores_gemma":[0.691412,0.001862824,0.2755165,0.000515929,0.0003792172,0.0002257585,0.0001453198,0.0001805002,0.02976201],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003337892,"threshold_uncertainty_score":0.01116633,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02550637731605689,"score_gpt":0.3145934142897709,"score_spread":0.289087036973714,"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."}}