Tripled system of fractional Langevin equations with tripled multipoint boundary conditions.

Abstract

This research focuses on examining the tripled system of nonlinear fractional Langevin equations with coupled multipoint boundary conditions. By utilizing the Banach contraction mapping, one can obtain the result of existence and uniqueness. The existence of a solution is validated through the use of Krasnoselskii's fixed point theorem. Furthermore, The Ulam-Hyers stability of the mentioned system is studied. In the end, we present two examples to validate the effectiveness of our analysis.