Existence, uniqueness and Ulam's stability of solutions for a coupled system of fractional differential equations with integral boundary conditions

Abstract

In this paper, the existence and uniqueness of the solutions to a fractional order nonlinear coupled system with integral boundary conditions is investigated. Furthermore, Ulam's type stability of the proposed coupled system is studied. Banach's fixed point theorem is used to obtain the existence and uniqueness of the solutions. Finally, an example is provided to illustrate the analytical findings.