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A Study on Linear Prabhakar Fractional Systems With Variable Coefficients

dc.authorid Aydin, Mustafa/0000-0003-0132-9636
dc.authorscopusid 57206729270
dc.authorscopusid 6602720278
dc.authorwosid Mahmudov, Nazim/G-4029-2013
dc.authorwosid Aydin, Mustafa/Abd-6124-2020
dc.contributor.author Aydin, Mustafa
dc.contributor.author Mahmudov, N. I.
dc.date.accessioned 2025-05-10T17:25:26Z
dc.date.available 2025-05-10T17:25:26Z
dc.date.issued 2024
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Aydin, Mustafa] Van Yuzuncu Yil Univ, Muradiye Vocat Sch, Dept Med Serv & Tech, Van, Turkiye; [Mahmudov, N. I.] Eastern Mediterranean Univ, Dept Math, Mersin 10, TR-99628 Famagusta, Northern Cyprus, Turkiye; [Mahmudov, N. I.] Azerbaijan State Univ Econ UNEC, Res Ctr Econophys, Istiqlaliyyat Str 6, Baku 1001, Azerbaijan en_US
dc.description Aydin, Mustafa/0000-0003-0132-9636 en_US
dc.description.abstract The 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. en_US
dc.description.sponsorship Eastern Mediterranean University en_US
dc.description.sponsorship No Statement Available en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1007/s12346-024-01065-1
dc.identifier.issn 1575-5460
dc.identifier.issn 1662-3592
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85195609098
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1007/s12346-024-01065-1
dc.identifier.uri https://hdl.handle.net/20.500.14720/11372
dc.identifier.volume 23 en_US
dc.identifier.wos WOS:001244364400002
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Springer Basel Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fractional Differential System en_US
dc.subject Prabhakar Fractional Derivative en_US
dc.subject Generalized Peano-Baker Series en_US
dc.subject State-Transition Matrix en_US
dc.title A Study on Linear Prabhakar Fractional Systems With Variable Coefficients en_US
dc.type Article en_US

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