{"id":"https://openalex.org/W4406972790","doi":"https://doi.org/10.1007/s00332-025-10129-8","title":"Global Existence and Convergence of the Solution to the Nonlinear $$\\psi $$-Caputo Fractional Diffusion Equation","display_name":"Global Existence and Convergence of the Solution to the Nonlinear $$\\psi $$-Caputo Fractional Diffusion Equation","publication_year":2025,"publication_date":"2025-01-30","ids":{"openalex":"https://openalex.org/W4406972790","doi":"https://doi.org/10.1007/s00332-025-10129-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-025-10129-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10129-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082809671","display_name":"Rui Zhu","orcid":"https://orcid.org/0000-0002-8910-9445"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Zhu","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","School of Mathematical Sciences, Jiangsu University, Zhenjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100422258","display_name":"Zhen Wang","orcid":"https://orcid.org/0000-0001-5931-1899"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","School of Mathematical Sciences, Jiangsu University, Zhenjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009114285","display_name":"Zhengdi Zhang","orcid":"https://orcid.org/0000-0002-7923-586X"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengdi Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","School of Mathematical Sciences, Jiangsu University, Zhenjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, China","institution_ids":["https://openalex.org/I115592961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100422258"],"corresponding_institution_ids":["https://openalex.org/I115592961"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":4.696,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.94766413,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"35","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.665852427482605},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6127713918685913},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6054849624633789},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5439229011535645},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.46791771054267883},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4426713287830353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36907321214675903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20564386248588562},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0626557469367981},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05959445238113403}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.665852427482605},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6127713918685913},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6054849624633789},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5439229011535645},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.46791771054267883},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4426713287830353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36907321214675903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20564386248588562},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0626557469367981},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05959445238113403},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-025-10129-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10129-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G4763946780","display_name":null,"funder_award_id":"12101266","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6900137362","display_name":null,"funder_award_id":"12372012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1567172441","https://openalex.org/W1972147894","https://openalex.org/W1988761547","https://openalex.org/W1989086014","https://openalex.org/W2053216189","https://openalex.org/W2076961733","https://openalex.org/W2117456661","https://openalex.org/W2397273960","https://openalex.org/W2579091728","https://openalex.org/W2799430428","https://openalex.org/W2989377415","https://openalex.org/W3020454945","https://openalex.org/W3074293297","https://openalex.org/W3087948347","https://openalex.org/W3134937063","https://openalex.org/W3186088470","https://openalex.org/W4292023257","https://openalex.org/W4294875765","https://openalex.org/W4318825363","https://openalex.org/W4322392022","https://openalex.org/W4381054339","https://openalex.org/W4386252435","https://openalex.org/W4388085450","https://openalex.org/W4391990840","https://openalex.org/W4392128102","https://openalex.org/W4392371119"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W3121927021","https://openalex.org/W4390948881","https://openalex.org/W1607068974","https://openalex.org/W2021368388","https://openalex.org/W2035671297","https://openalex.org/W2742971749"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}