New Caputo fractional differential equation of higher order on unbounded interval and solvability in the Hölder space C0,q(Ω)

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dc.contributor.authorKayvanloo, Hojjatollah Amiri
dc.contributor.authorNajafabadi, Farzaneh Pouladi
dc.contributor.authorSavaş, Ekrem
dc.contributor.authorMursaleen, Mohammad
dc.contributor.authorMursaleen, Mohammad
dc.contributor.otherFen Fakültesi, Matematik Bölümü
dc.date.accessioned2026-06-21T16:21:31Z
dc.date.created2026
dc.date.issued2026
dc.departmentBartın Üniversitesi
dc.description.abstractWe define a new Caputo fractional differential equation of higher-order on unbounded interval {(c) D(alpha)w(t) = f(t), 0 <= t < infinity, w(0)=w '(0)=w((4))(0)=w((5))(0)=& ctdot;=w((n))(0)=0, w & tprime;(0)=integral(eta)(0)(eta-s)(alpha-1)/Gamma(alpha) f(s)ds, lim(t ->infinity)(c) D(alpha-1)w(t)=w(xi),0
dc.description.sponsorshipTUBITAK Program 2221 Konuk veya Akademik Izinli (Sabbatical) Bilim Insanimath; Destekleme Programimath;
dc.description.sponsorshipThis work was done when the author (M. Mursaleen) visited Usak University during April 01 to October 01, 2025 under TUBITAK Program 2221 Konuk veya Akademik Izinli (Sabbatical) Bilim Insan & imath; Destekleme Program & imath;. He is very much thankful to TUBITAK and Usak University for providing the local hospitalities.
dc.identifier.doi10.1186/s13660-026-03456-1
dc.identifier.issn1029-242X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105035593887
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://doi.org/10.1186/s13660-026-03456-1
dc.identifier.urihttps://hdl.handle.net/11772/27481
dc.identifier.volume2026
dc.identifier.wosWOS:001739740100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260621
dc.subjectMeasures Of Noncompactness
dc.subjectDarbo'S Fixed Point Theorem
dc.subjectFractional Boundary Value Problem
dc.subjectH & Ouml;Lder Space
dc.titleNew Caputo fractional differential equation of higher order on unbounded interval and solvability in the Hölder space C0,q(Ω)
dc.typeArticle
dc.wosindexScience Citation Index Expanded (SCI-EXPANDED)
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoverya0e4ab8c-295d-4533-856a-7a69504e4ade
relation.isOrgUnitOfPublication59b6a98e-1169-4e0c-a04e-5bac2feebdd7
relation.isOrgUnitOfPublication.latestForDiscovery59b6a98e-1169-4e0c-a04e-5bac2feebdd7

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