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

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.

Automated summary

This paper considers a switched coupled system of nonlinear implicit impulsive Langevin equations with mixed derivatives. The existence, uniqueness, and generalized Ulam-Hyers-Rassias stability of the proposed model are observed under certain conditions using the Generalized Diaz-Margolis's fixed point approach on a generalized complete metric space. An example is provided to support the main result.