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Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations
Journal article   Open access  Peer reviewed

Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations

Omar Kahouli, Abdellatif Ben Makhlouf, Lassaad Mchiri, Pushpendra Kumar, Naim Ben Ali and Ali Aloui
Symmetry (Basel), Vol.14(11), p.2336
01/11/2022
DOI: https://doi.org/10.3390/sym14112336

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution of sigma-Caputo stochastic fractional differential equations (CSFDE) using the Banach fixed point technique (BFPT). We analyze the Hyers-Ulam stability of CSFDE using the stochastic calculus techniques. We illustrate our results with three examples.
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https://doi.org/10.3390/sym14112336View
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