A Study on Linear Prabhakar Fractional Systems with Variable Coefficients

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dc.contributor.authorAydin, Mustafa
dc.contributor.authorMahmudov, N. I.
dc.date.accessioned2026-02-06T18:35:53Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe focus of this paper is on addressing the initial value problem related to linear systems of fractional differential equations characterized by variable coefficients, incorporating Prabhakar fractional derivatives of Riemann-Liouville and Caputo types. Utilizing the generalized Peano-Baker series technique, the state-transition matrix is acquired. The paper presents closed form solutions for both homogeneous and inhomogeneous cases, substantiated by illustrative examples.
dc.description.sponsorshipEastern Mediterranean University
dc.description.sponsorshipNo Statement Available
dc.identifier.doi10.1007/s12346-024-01065-1
dc.identifier.issn1575-5460
dc.identifier.issn1662-3592
dc.identifier.issue5
dc.identifier.orcid0000-0003-0132-9636
dc.identifier.scopus2-s2.0-85195609098
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s12346-024-01065-1
dc.identifier.urihttps://hdl.handle.net/11129/12113
dc.identifier.volume23
dc.identifier.wosWOS:001244364400002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofQualitative Theory of Dynamical Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectFractional differential system
dc.subjectPrabhakar fractional derivative
dc.subjectGeneralized Peano-Baker series
dc.subjectState-transition matrix
dc.titleA Study on Linear Prabhakar Fractional Systems with Variable Coefficients
dc.typeArticle

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