Hyers–Ulam stability for a class of Hadamard fractional Itô–Doob stochastic integral equations

Omar Kahouli, Abdellatif Ben Makhlouf, Lassaad Mchiri and Hafedh Rguigui

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

Abstract: Our goal in this work is to demonstrate the existence and uniqueness of the solution to a class of Hadamard Fractional Itô–Doob Stochastic integral equations (HFIDSIE) of order φ∈(0,1) via the fixed point technique (FPT). Hyers–Ulam stability (HUS) is investigated for HFIDSIE according to the Gronwall inequality. Two theoretical examples are provided to illustrate our results.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010979

DOI: 10.1016/j.chaos.2022.112918

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