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

Al-Refai, Mohammed; Syam, Muhammed I.; Baleanu, Dumitru

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