On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel

Fernandez, Arran; Baleanu, Dumitru

dc.contributor.author	Fernandez, Arran
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2020-03-09T13:12:18Z
dc.date.available	2020-03-09T13:12:18Z
dc.date.issued	2019
dc.identifier.citation	Fernandez, Arran; Baleanu, Dumitru, "On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel", Filomat, Vol. 33, No. 1, pp. 245-254, (2019).	tr_TR
dc.identifier.issn	0354-5180
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2630
dc.description.abstract	We introduce a new family of fractional differential and integral operators which emerge from a fractional iteration process applied to some existing fractional operators with Mittag-Leffler kernels. We analyse the new operators and prove various facts about them, including a semigroup property. We also solve some ODEs in this new model by using Laplace transforms, and discuss applications of our results.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Univ Nis, Fac Sci Math	tr_TR
dc.relation.isversionof	10.2298/FIL1901245F	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Semigroup Property	tr_TR
dc.subject	Mittag-Leffler Function	tr_TR
dc.title	On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Filomat	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	33	tr_TR
dc.identifier.issue	1	tr_TR
dc.identifier.startpage	245	tr_TR
dc.identifier.endpage	254	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR