Impulsive conformable fractional stochastic differential equations with Poisson jumps-Reference-Cited by-同舟云学术

Impulsive conformable fractional stochastic differential equations with Poisson jumps

Published:2022 Issue:6 Volume:11 Page:2073
ISSN:2163-2480
Container-title:Evolution Equations and Control Theory
language:
Short-container-title:EECT

Author:

Ahmed Hamdy M.¹

Affiliation:

1. Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

Abstract

<p style='text-indent:20px;'>In this article, periodic averaging method for impulsive conformable fractional stochastic differential equations with Poisson jumps are discussed. By using stochastic analysis, fractional calculus, Doob's martingale inequality and Cauchy-Schwarz inequality, we show that the solution of the conformable fractional impulsive stochastic differential equations with Poisson jumps converges to the corresponding averaged conformable fractional stochastic differential equations with Poisson jumps and without impulses.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation

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