Title of article
Fuzzy fractional pantograph stochastic differential equations: Existence, uniqueness and averaging principle
Author/Authors
Arhrrabi ، Elhoussain Laboratory of Applied Mathematics and Scientific Calculus (LAMSC) - Sultan Moulay Slimane University , Elomari ، M’hamed Laboratory of Applied Mathematics and Scientific Calculus (LAMSC) - Sultan Moulay Slimane University , Melliani ، Said Laboratory of Applied Mathematics and Scientific Calculus (LAMSC) - Sultan Moulay Slimane University , Chadli ، Lalla Saadia Laboratory of Applied Mathematics and Scientific Calculus (LAMSC) - Sultan Moulay Slimane University
From page
393
To page
402
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
fuzzy fractional pantograph stochastic differential equations , Banach fixed point , averaging principle
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2773915
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