Asymptotic stability of nonlinear neutral fractional difference equations

Neutral fractional difference equations

  • Abdelouaheb Ardjouni University of Annaba, Department of Mathematics
  • Hamid Boulares
  • Yamina Laskri

Abstract

In this paper, we give sufficient conditions to guarantee the asymptotic stability of the solutions to a kind of nonlinear neutral fractional difference equations with the Caputo like difference operator of order α (0<α<1). By using the Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem, we establish new results on the asymptotic stability of the solutions, which include and improve some related results in the literature.

Published
2017-11-24