Coupled fixed point theorem on orthogonal S-metric spaces and application to coupled system of nonlinear fractional Langevin equations

Abstract

In this article, we establish a coupled fixed point theorem within the framework of orthogonal S-metric spaces. Our results extend and generalize several well-known findings that are already present in the literature. Furthermore, we explore the practical applications of our primary results by examining their relevance to coupled systems of nonlinear fractional Langevin equations.