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

نویسندگان
Melliani, Said ID 1
Arhrrabi, Elhoussain ID 2
Elomari, M'hamed ID 3
Chadli, Lalla Saadia ID 4

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

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

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

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

doi
10.22075/ijnaa.2023.28270.3850
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