{"id":"https://openalex.org/W7214733444","doi":"https://doi.org/10.48550/arxiv.2609.35001","title":"Well-posedness for time-fractional evolution equations by the Yosida approximation","display_name":"Well-posedness for time-fractional evolution equations by the Yosida approximation","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214733444","doi":"https://doi.org/10.48550/arxiv.2609.35001"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.35001","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35001","pdf_url":"https://arxiv.org/pdf/2609.35001","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.35001","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129998656","display_name":"S. E. Chorfi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I119856527","display_name":"Cadi Ayyad University","ror":"https://ror.org/04xf6nm78","country_code":"MA","type":"education","lineage":["https://openalex.org/I119856527"]},{"id":"https://openalex.org/I3017902709","display_name":"Zonguldak B\u00fclent Ecevit University","ror":"https://ror.org/01dvabv26","country_code":"TR","type":"education","lineage":["https://openalex.org/I3017902709"]}],"countries":["MA","TR"],"is_corresponding":false,"raw_author_name":"Chorfi, S. E.","raw_affiliation_strings":["Cadi Ayyad University , UCA , Faculty of Sciences Semlalia , Laboratory of Mathematics , Modeling and Automatic Systems , B.P. 2390 , Marrakesh , Morocco,","Department of Mathematics , Faculty of Science , Zonguldak B\u00fclent Ecevit University , Zonguldak 67100 T\u00fcrkiye ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cadi Ayyad University , UCA , Faculty of Sciences Semlalia , Laboratory of Mathematics , Modeling and Automatic Systems , B.P. 2390 , Marrakesh , Morocco,","institution_ids":["https://openalex.org/I119856527"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Science , Zonguldak B\u00fclent Ecevit University , Zonguldak 67100 T\u00fcrkiye ,","institution_ids":["https://openalex.org/I3017902709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028847402","display_name":"Fikret G\u00f6lgeleyen","orcid":"https://orcid.org/0000-0002-8059-2194","observed_orcids":["https://orcid.org/0000-0002-8059-2194"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00f6lgeleyen, F.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109493468","display_name":"Masahiro Yamamoto","orcid":"https://orcid.org/0000-0002-4050-871X","observed_orcids":["https://orcid.org/0000-0002-4050-871X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yamamoto, M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.8202999830245972,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.8202999830245972,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.11810000240802765,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.03359999880194664,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/time-fractional-evolution-equations","display_name":"time-fractional evolution equations","score":0.9570000171661377},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.968999981880188},{"id":"https://openalex.org/keywords/yosida-approximation","display_name":"Yosida approximation","score":0.9819999933242798},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"initial value problems","score":0.7940000295639038},{"id":"https://openalex.org/keywords/fractional-derivatives","display_name":"fractional derivatives","score":0.8159999847412109},{"id":"https://openalex.org/keywords/hilbert-spaces","display_name":"Hilbert spaces","score":0.5770000219345093},{"id":"https://openalex.org/keywords/nonlinear-evolution-equations","display_name":"nonlinear evolution equations","score":0.42500001192092896}],"concepts":[{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6693999767303467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5981000065803528},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49939998984336853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4643000066280365},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4551999866962433},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3644999861717224},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C2982905333","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Evolution equation","level":2,"score":0.3433000147342682},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.25850000977516174}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.35001","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35001","pdf_url":"https://arxiv.org/pdf/2609.35001","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.35001","doi":"https://doi.org/10.48550/arxiv.2609.35001","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.35001","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.35001","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35001","pdf_url":"https://arxiv.org/pdf/2609.35001","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214733444.pdf","grobid_xml":"https://content.openalex.org/works/W7214733444.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7202163090"],"related_works":["https://openalex.org/W7202163090","https://openalex.org/W4407359142","https://openalex.org/W2200583599","https://openalex.org/W2776622302","https://openalex.org/W7095187404","https://openalex.org/W4411707903","https://openalex.org/W2040987548","https://openalex.org/W2979119477","https://openalex.org/W4390620882","https://openalex.org/W7066188446"],"abstract_inverted_index":{"We":[0],"consider":[1],"an":[2],"initial":[3],"value":[4],"problem":[5],"for":[6],"a":[7,12],"time-fractional":[8],"evolution":[9],"equation":[10],"in":[11],"Hilbert":[13],"space":[14],"$X$:":[15],"$$":[16],"\\partial_t^\u03b1":[17],"(u(t)-a)":[18],"=":[19],"Au(t)":[20],"\\qquad":[21],"\\mbox{for":[22],"$0":[23]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}
