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

	Fuzzy fractional pantograph stochastic differential equations: Existence, uniqueness and averaging principle
International Journal of Nonlinear Analysis and Applications
مقاله 29، دوره 15، شماره 11، بهمن 2024، صفحه 393-402 اصل مقاله (492.8 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28270.3850
نویسندگان
Elhoussain Arhrrabi^* ؛ M'hamed Elomari؛ Said Melliani؛ Lalla Saadia Chadli
Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni Mellal, Morocco
چکیده
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.
کلیدواژه‌ها
fuzzy fractional pantograph stochastic differential equations؛ Banach fixed point؛ averaging principle
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