We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator. The results are obtained by using Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem. Three examples are also provided to illustrate our main results.
Fulai Chen. Zhigang Liu. "Asymptotic Stability Results for Nonlinear Fractional Difference Equations." J. Appl. Math. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/879657