Lyapunov functions for Riemann–Liouville-like fractional difference equations

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

Applied Mathematics and Computation, 2017, vol. 314, issue C, 228-236

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.

Keywords: Asymptotic stability; Fractional difference equations; Lyaupunov direct method (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (25)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:228-236

DOI: 10.1016/j.amc.2017.06.019

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