Analysis on solution of coupled system of \\symmetric fuzzy fractional pantograph stochastic differential equations

Abstract

 The coupled system of symmetric fuzzy fractional pantograph stochastic differential equations is examined in this work. The diffusion components of the equations are driven by fractional Brownian movements, and the drift and diffusion terms are symmetric on both sides. Banach's contraction mapping principle is used to prove that the solution exists and is unique. Additionally, the solution's Ulam-Hyers and generalized Ulam-Hyers stability are examined.