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Lyapunov functions for Riemann–Liouville-like fractional difference equations

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  • Wu, Guo-Cheng
  • Baleanu, Dumitru
  • Luo, Wei-Hua

Abstract

Discrete 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.

Suggested Citation

  • Wu, Guo-Cheng & Baleanu, Dumitru & Luo, Wei-Hua, 2017. "Lyapunov functions for Riemann–Liouville-like fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 228-236.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:228-236
    DOI: 10.1016/j.amc.2017.06.019
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    References listed on IDEAS

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