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

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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


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