Asymptotic stability of (q, h)-fractional difference equations

Mei Wang, Feifei Du, Churong Chen and Baoguo Jia

Applied Mathematics and Computation, 2019, vol. 349, issue C, 158-167

Abstract: Asymptotic stability of linear nabla Riemann–Liouville (q, h)-fractional difference equation is investigated in this paper. A Liapunov functional is constructed for the fractional difference equation. The sufficient condition for the asymptotic stability of considered equations is proposed. The results are illustrated with the corresponding numerical examples.

Keywords: Nabla (q, h)-fractional difference; Asymptotic stability; Liapunov functional (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:158-167

DOI: 10.1016/j.amc.2018.12.039

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