Some results on the study of Caputo–Hadamard fractional stochastic differential equations

Abdellatif Ben Makhlouf and Lassaad Mchiri

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: In this article, we show the existence and uniqueness of solution of Caputo–Hadamardfractional stochastic differential equations (CHFSDE) via the Banach fixed point method (BFPM). We analyze the Ulam–Hyers stability (UHS) of CHFSDE by the generalized and the classical Gronwall inequalities. Two examples are presented to illustrate our results.

Keywords: Caputo–Hadamard derivative; Fractional stochastic differential equations (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011115

DOI: 10.1016/j.chaos.2021.111757

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