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Ulam-Hyers stability of pantograph fractional stochastic differential equations
Journal article   Peer reviewed

Ulam-Hyers stability of pantograph fractional stochastic differential equations

Lassaad Mchiri, Abdellatif Ben Makhlouf and Hafedh Rguigui
Mathematical methods in the applied sciences, Vol.46(4), pp.4134-4144
15/03/2023
DOI: https://doi.org/10.1002/mma.8745

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam-Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.

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