Existence theory and stability analysis of switched coupled system of nonlinear implicit impulsive Langevin equations with mixed derivatives

Abstract

In this paper, we consider switched coupled system of nonlinear implicit impulsive Langevin equations with mixed derivatives. Some sufficient conditions are constructed to observe the existence, uniqueness, and generalized Ulam–Hyers–Rassias stability of our proposed model, with the help of Generalized Diaz–Margolis's fixed point approach, over generalized complete metric space. We give an example which supports our main result.