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ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVE

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dc.contributor.author Al-Refai, Mohammed
dc.contributor.author Syam, Muhammed I.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-05-28T13:27:58Z
dc.date.available 2024-05-28T13:27:58Z
dc.date.issued 2023
dc.identifier.citation Al-Refai, Mohammed; Syam, Muhammed I.; Baleanu, Dumitru (2023). "ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVE", Fractals, Vol. 31, No. 10. tr_TR
dc.identifier.issn 0218-348X
dc.identifier.uri http://hdl.handle.net/20.500.12416/8419
dc.description.abstract The solutions of systems of fractional differential equations depend on the type of the fractional derivative used in the system. In this paper, we present in closed forms the solutions of linear systems involving the modified Atangana–Baleanu derivative that has been introduced recently. For the nonlinear systems, we implement a numerical scheme based on the collocation method to obtain approximate solutions. The applicability of the results is tested through several examples. We emphasize here that certain systems with the Atangana–Baleanu derivative admit no solutions which is not the case with the modified derivative. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X23401564 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.subject Linear Systems tr_TR
dc.subject Mittag-Leffler Kernel tr_TR
dc.title ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVE tr_TR
dc.type article tr_TR
dc.relation.journal Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 31 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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