Baleanu, DumitruWu, Guo-Cheng2020-03-302025-09-182020-03-302025-09-182018Wu, Guo-Cheng; Baleanu, Dumitru, "Stability Analysis of Impulsive Fractional Difference Equations" Fractıonal Calculus and Applied Analysis, Vol. 21, No. 2, pp. 354-375, (2018)1311-04541314-2224https://doi.org/10.1515/fca-2018-0021https://hdl.handle.net/20.500.12416/12828Wu, Guo-Cheng/0000-0002-1946-6770We 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.eninfo:eu-repo/semantics/closedAccessImpulsive Fractional Difference EquationsComparison PrincipleAsymptotic StabilityMittag-Leffler StabilityDiscrete-Time ControlArticle10.1515/fca-2018-00212-s2.0-85048855816