Some results on finite-time stability of stochastic fractional-order delay differential equations

Danfeng Luo, Mengquan Tian and Quanxin Zhu

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: Finite-time stability of stochastic fractional-order delay differential equations is researched here. Firstly, we derive the equivalent form of the considered system by using the Laplace transformation and its inverse. Subsequently, by defining the maximum weighted norm in Banach space and using the principle of contraction mapping, we prove that the solution of researched system is unique. What's more, by virtue of Henry-Grönwall delay inequality and interval translation, we derive the criterion of finite-time stability for the system with and without impulses, respectively. Finally, as a verification, examples are provided to expound the correctness of the deduced results.

Keywords: Stochastic differential equation; Fractional calculus; Finite-time stability; Laplace transformation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002065

DOI: 10.1016/j.chaos.2022.111996

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