International Journal of Nonlinear Analysis and Applications

Fuzzy fractional pantograph stochastic differential equations: Existence, uniqueness and averaging principle

Document Type : Research Paper

Authors

Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni Mellal, Morocco

Abstract

Fuzzy fractional pantograph stochastic differential equations $($FFPSDEs$)$ is investigated here. The initial objective is to show the existence and uniqueness of solutions using Banach fixed point theorem. The second objective is discussing averaging principle of FFPSDEs, precisely, we will prove that the solutions of FFPSDEs can be approximated in the sense of mean square by the solutions of averaged fuzzy fractional stochastic system.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 11
November 2024
Pages 393-402
  • Receive Date: 01 September 2022
  • Accept Date: 04 April 2023