STABILITY, EXISTENCE AND UNIQUENESS OF A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

In this article a coupled system of fractional differential equations with integral boundary conditions will be discussed. Currently we present three main result of this study: firstly, the uniqueness of solution for the given problem is established by applying contraction mapping principle. Secondly,Leray-Schauder’s alternative has been used to obtain the existence of solutions. Moreover, some necessary conditions for theHyers-Ulamtype stability to the solutions of the boundary value problem (BVPs) are developed. Finally the results are supported by examples