Wu, Guo-ChengBaleanu, DumitruBaleanu, DumitruLuo, Wei-Hua2020-03-032020-03-032017Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua, "Lyapunov functions for Riemann-Liouville-like fractional difference equations", Applied Mathematics And Computation, Vol.314, pp.228-236, (2017).0096-30031873-5649https://doi.org/10.1016/j.amc.2017.06.019Wu, Guo-Cheng/0000-0002-1946-6770Discrete memory effects are introduced by fractional difference operators. Asymptotic stabilities of nonlinear fractional difference equations are investigated in this paper. A linear scalar fractional difference equality is utilized. Lyapunov second direct method is proposed for nonlinear discrete fractional systems. Asymptotic stability conditions are provided and some examples are given. (C) 2017 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessAsymptotic StabilityFractional Difference EquationsLyaupunov Direct MethodArticle31422823610.1016/j.amc.2017.06.0192-s2.0-85024406486WOS:000409284600020Q1Q1