Finite-time stability of ABC type fractional delay difference equations

Yuting Chen, Xiaoyan Li and Song Liu

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: In this paper, finite-time stability of fractional delay difference equations with discrete Mittag-Leffler kernel are studied. Firstly, we establish a new generalized Gronwall inequality in sense of Atangana-Baleanu fractional difference sum operator. Then, based on this new generalized Gronwall inequality and the method of steps, finite-time stability criteria of fractional delay difference equations with discrete Mittag-Leffler kernel are induced respectively. Finally, examples are presented to illustrate the validity of main results.

Keywords: Finite-time stability; Gronwall inequality; Discrete Mittag-Leffler kernel; ABC-fractional difference; Delay (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007840

DOI: 10.1016/j.chaos.2021.111430

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