Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

Abdeljawad, Thabet; Baleanu, Dumitru

dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2017-04-24T08:17:58Z
dc.date.available	2017-04-24T08:17:58Z
dc.date.issued	2016-09-05
dc.identifier.citation	Abdeljawad, T., Baleanu, D. (2016). Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0949-5	tr_TR
dc.identifier.issn	1687-1847
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1570
dc.description.abstract	In this manuscript we propose the discrete versions for the recently introduced fractional derivatives with nonsingular Mittag-Leffler function. The properties of such fractional differences are studied and the discrete integration by parts formulas are proved. Then a discrete variational problem is considered with an illustrative example. Finally, some more tools for these derivatives and their discrete versions have been obtained	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Springer International Publishing	tr_TR
dc.relation.isversionof	10.1186/s13662-016-0949-5	tr_TR
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Discrete Fractional Derivative	tr_TR
dc.subject	Modified Mittag-Leffler Function	tr_TR
dc.subject	Discrete Mittag-Leffler Function	tr_TR
dc.subject	Discrete Nabla Laplace Transform	tr_TR
dc.subject	Convolution	tr_TR
dc.subject	Discrete ABR Fractional Derivative	tr_TR
dc.title	Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advance in Difference Equations	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR