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Modified Fractional Difference Operators Defined Using Mittag-Leffler Kernels

dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAbualnaja, Khadijah M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-04-25T07:35:47Z
dc.date.available2024-04-25T07:35:47Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe discrete fractional operators of Riemann–Liouville and Liouville–Caputo are omnipresent due to the singularity of the kernels. Therefore, convexity analysis of discrete fractional differences of these types plays a vital role in maintaining the safe operation of kernels and symmetry of discrete delta and nabla distribution. In their discrete version, the generalized or modified forms of various operators of fractional calculus are becoming increasingly important from the viewpoints of both pure and applied mathematical sciences. In this paper, we present the discrete version of the recently modified fractional calculus operator with the Mittag-Leffler-type kernel. Here, in this article, the expressions of both the discrete nabla derivative and its counterpart nabla integral are obtained. Some applications and illustrative examples are given to support the theoretical results.en_US
dc.description.publishedMonth8
dc.identifier.citationMohammed, Pshtiwan Othman;...et.al. (2022). "Modified Fractional Difference Operators Defined Using Mittag-Leffler Kernels", Symmetry, Vol.14, No.8.en_US
dc.identifier.doi10.3390/sym14081519
dc.identifier.issn20738994
dc.identifier.issue8en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7952
dc.identifier.volume14en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetryen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDiscrete Atangana–Baleanu Fractional Differencesen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.subjectDiscrete Liouville–Caputo Operatoren_US
dc.subjectDiscrete Mittag-Leffler Kernelsen_US
dc.titleModified Fractional Difference Operators Defined Using Mittag-Leffler Kernelstr_TR
dc.titleModified Fractional Difference Operators Defined Using Mittag-Leffler Kernelsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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