{"id":"W4414355588","doi":"10.28924/2291-8639-23-2025-230","title":"Analytical Solutions to the Fractional Zhiber-Shabat Equation Using the Unified Method","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Conformable matrix; Reliability (semiconductor); Fractional calculus; Order (exchange); Exact solutions in general relativity","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006292717,0.000495711,0.0007605728,0.0006833369,0.0005087138,0.0007070299,0.0006723282,0.000923346,0.001434955],"category_scores_gemma":[0.001075726,0.0002146682,0.0009443375,0.0005841996,0.000903353,0.001179391,0.0007360599,0.0007769635,0.0002348188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003692468,"about_ca_system_score_gemma":0.0008519239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001889844,"about_ca_topic_score_gemma":0.00139057,"domain_scores_codex":[0.9998142,0.00006381903,0.00001112504,0.00001613324,0.00007285298,0.00002194518],"domain_scores_gemma":[0.9998547,0.00004319894,0.00002385363,0.00001745893,0.00005130368,0.000009502064],"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":[0.00006161784,0.00003532073,0.00058508,0.0002316336,0.00004455256,0.0003651243,0.000382416,0.2522134,0.02145392,0.6870114,0.0009213511,0.03669421],"study_design_scores_gemma":[0.00001580148,0.0000379204,0.000228772,0.00002628005,0.00001108794,0.0001105634,0.00007887508,0.9345556,0.001724922,0.06042514,0.002760631,0.00002439213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05849379,0.001131027,0.9287642,0.0002012847,0.0001352103,0.00004818833,0.00003842286,0.00007726661,0.01111061],"genre_scores_gemma":[0.7425475,0.002453601,0.2436356,0.0001497667,0.00010418,0.0001885123,0.000117125,0.00006618293,0.01073762],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001889844,"threshold_uncertainty_score":0.004800379,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1018226564332493,"score_gpt":0.4329479780067929,"score_spread":0.3311253215735436,"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."}}