On Averaging Principle for Caputo–Hadamard Fractional Stochastic Differential Pantograph Equation-Reference-Cited by-同舟云学术

On Averaging Principle for Caputo–Hadamard Fractional Stochastic Differential Pantograph Equation

Published:2022-12-28 Issue:1 Volume:7 Page:31
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Mouy Mounia,Boulares Hamid,Alshammari Saleh,Alshammari Mohammad,Laskri Yamina,Mohammed Wael W.^ORCID

Abstract

In this paper, we studied an averaging principle for Caputo–Hadamard fractional stochastic differential pantograph equation (FSDPEs) driven by Brownian motion. In light of some suggestions, the solutions to FSDPEs can be approximated by solutions to averaged stochastic systems in the sense of mean square. We expand the classical Khasminskii approach to Caputo–Hadamard fractional stochastic equations by analyzing systems solutions before and after applying averaging principle. We provided an applied example that explains the desired results to us.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/1/31/pdf

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