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

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dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-03-09T13:12:18Z
dc.date.available2020-03-09T13:12:18Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe 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.en_US
dc.identifier.citationFernandez, Arran; Baleanu, Dumitru, "On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel", Filomat, Vol. 33, No. 1, pp. 245-254, (2019).en_US
dc.identifier.doi10.2298/FIL1901245F
dc.identifier.endpage254en_US
dc.identifier.issn0354-5180
dc.identifier.issue1en_US
dc.identifier.startpage245en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12416/2630
dc.identifier.volume33en_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectSemigroup Propertyen_US
dc.subjectMittag-Leffler Functionen_US
dc.titleOn a New Definition of Fractional Differintegrals with Mittag-Leffler Kerneltr_TR
dc.titleOn a New Definition of Fractional Differintegrals With Mittag-Leffler Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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