{"id":"W4400364232","doi":"10.1080/13873954.2024.2366335","title":"Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions","year":2024,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling of Dynamical Systems","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Nabla symbol; Mathematics; Bounded function; Monotonic function; Operator (biology); Domain (mathematical analysis); Monotone polygon; Set (abstract data type); Order (exchange); Applied mathematics; Scale (ratio); Mathematical analysis; Computer science; Physics; Geometry","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":[0.001116389,0.0008215651,0.000489199,0.0009584552,0.0005761473,0.001087607,0.0008238715,0.00105469,0.001398114],"category_scores_gemma":[0.004154656,0.0002783057,0.000677963,0.000376284,0.001991941,0.001534325,0.0009926609,0.0009175334,0.0001347644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006234575,"about_ca_system_score_gemma":0.001010108,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001840738,"about_ca_topic_score_gemma":0.001154433,"domain_scores_codex":[0.9996741,0.0001227265,0.00001224816,0.00004075815,0.00008333286,0.00006690065],"domain_scores_gemma":[0.9989692,0.0004915626,0.0001896927,0.0000549528,0.0001990028,0.00009561609],"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":[0.0001766474,0.00009109001,0.001466352,0.0003504204,0.00006645565,0.0007871866,0.000583109,0.2229448,0.03824756,0.724664,0.0007471098,0.009875416],"study_design_scores_gemma":[0.00001127494,0.00004988155,0.0003114456,0.00001972502,0.000009110384,0.0001758315,0.0001103828,0.9352757,0.002279052,0.06107929,0.0006601794,0.00001821016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3526797,0.001443096,0.6211278,0.0008019403,0.0001327879,0.00009313966,0.00007312331,0.00009752012,0.02355087],"genre_scores_gemma":[0.9478707,0.0006708818,0.04361371,0.0001126565,0.00008225626,0.0001148109,0.00004972062,0.00003814674,0.007447105],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001840738,"threshold_uncertainty_score":0.005904138,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06065921911498575,"score_gpt":0.2893513319965993,"score_spread":0.2286921128816136,"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."}}