{"id":"W2809988703","doi":"10.1002/mma.5122","title":"A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function","year":2018,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Fractional calculus; Mathematics; Mittag-Leffler function; Operator (biology); Kernel (algebra); Applied mathematics; Daniell integral; Hypergeometric function; Product (mathematics); Integral transform; Pure mathematics; Mathematical analysis; Integral equation; Fourier integral operator","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":[0.005868288,0.0002239878,0.0004134423,0.0003537168,0.0005499627,0.0001028878,0.0006542852,0.0001060033,0.0004810888],"category_scores_gemma":[0.002694816,0.0001414264,0.00009721266,0.001361963,0.0007727129,0.0002245491,0.0001082108,0.0003352138,0.00003687779],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007657585,"about_ca_system_score_gemma":0.00008965151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007812421,"about_ca_topic_score_gemma":0.0001920023,"domain_scores_codex":[0.9965346,0.00108233,0.0008053383,0.0004114824,0.0008386638,0.0003275208],"domain_scores_gemma":[0.9946818,0.004411201,0.0002590931,0.0004331278,0.0001573275,0.00005742467],"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":[0.00005883814,0.002428826,0.0004463711,0.00003377641,0.00006169693,6.757689e-7,0.007821403,0.0002011908,0.007234941,0.9796475,0.0001749964,0.001889843],"study_design_scores_gemma":[0.0008371112,0.0002846951,0.002163158,0.00004172311,0.00008293143,0.000007638065,0.0204505,0.04650481,0.00115591,0.9282252,0.00004163719,0.0002046465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2982439,0.00001016174,0.6966456,0.0001654883,0.0001918159,0.0008273198,0.000002048585,0.00004327461,0.003870471],"genre_scores_gemma":[0.59918,5.450004e-7,0.4003366,0.00008613553,0.0000800277,0.0002438924,6.532395e-7,0.00001098292,0.00006118809],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3009361,"threshold_uncertainty_score":0.5767202,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2539020555628476,"score_gpt":0.4822109576876571,"score_spread":0.2283089021248096,"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."}}