Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability

Simple item page
dc.contributor.authorMahmudov, Nazim I.
dc.date.accessioned2026-02-06T18:52:34Z
dc.date.issued2022
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe introduce the delayed Mittag-Leffler type matrix functions, delayed fractional cosine, and delayed fractional sine and use the Laplace transform to obtain an analytical solution to the IVP for a Hilfer type fractional linear time-delay system D0,t mu,nu zt+Azt+omega zt-h=ft of order 1 < 2 and type 0 & LE;nu & LE;1, with nonpermutable matrices A and omega. Moreover, we study Ulam-Hyers stability of the Hilfer type fractional linear time-delay system. Obtained results extend those for Caputo and Riemann-Liouville type fractional linear time-delay systems with permutable matrices and new even for these fractional delay systems.
dc.identifier.doi10.1155/2022/2661343
dc.identifier.issn1110-757X
dc.identifier.issn1687-0042
dc.identifier.orcid0000-0003-3943-1732
dc.identifier.scopus2-s2.0-85139477771
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1155/2022/2661343
dc.identifier.urihttps://hdl.handle.net/11129/15574
dc.identifier.volume2022
dc.identifier.wosWOS:000892444300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofJournal of Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectConstant-Coefficients
dc.subjectDiscrete-Systems
dc.subjectRepresentation
dc.subjectEquations
dc.titleAnalytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability
dc.typeArticle

Files

Collections

WoS Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu