Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-6822151120231201Fuzzy fractional pantograph stochastic differential equations: Existence, uniqueness and averaging principle393402834610.22075/ijnaa.2023.28270.3850ENElhoussain ArhrrabiLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni
Mellal, MoroccoM'hamed ElomariLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni
Mellal, MoroccoSaid MellianiLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni
Mellal, MoroccoLalla Saadia ChadliLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532,23000 Beni
Mellal, MoroccoJournal Article20220901Fuzzy 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.https://ijnaa.semnan.ac.ir/article_8346_fda1daa3611da5aadef7ed05ec318e1a.pdf