Stability Analysis of Impulsive Fractional Difference Equations

Wu, Guo-Cheng; Baleanu, Dumitru

dc.contributor.author	Wu, Guo-Cheng
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2020-03-30T07:32:44Z
dc.date.available	2020-03-30T07:32:44Z
dc.date.issued	2018-04
dc.identifier.citation	Wu, Guo-Cheng; Baleanu, Dumitru, "Stability Analysis of Impulsive Fractional Difference Equations" Fractıonal Calculus and Applied Analysis, Vol. 21, No. 2, pp. 354-375, (2018)	tr_TR
dc.identifier.issn	1311-0454
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2789
dc.description.abstract	We revisit motivation of the fractional difference equations and some recent applications to image encryption. Then stability of impulsive fractional difference equations is investigated in this paper. The fractional sum equation is considered and impulsive effects are introduced into discrete fractional calculus. A class of impulsive fractional difference equations are proposed. A discrete comparison principle is given and asymptotic stability of nonlinear fractional difference equation are discussed. Finally, an impulsive Mittag-Leffler stability is defined. The numerical result is provided to support the analysis.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Walter De Gruyter GMBH	tr_TR
dc.relation.isversionof	10.1515/fca-2018-0021	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Impulsive Fractional Difference Equations	tr_TR
dc.subject	Comparison Principle	tr_TR
dc.subject	Mittag-Leffler Stability	tr_TR
dc.subject	Discrete-Time Control	tr_TR
dc.title	Stability Analysis of Impulsive Fractional Difference Equations	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Fractıonal Calculus and Applied Analysis	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	21	tr_TR
dc.identifier.issue	2	tr_TR
dc.identifier.startpage	354	tr_TR
dc.identifier.endpage	375	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR