Existence and Uniqueness of Singular Fractional Differential Equations with an Integral Fractional Boundary Condition

The aim of this work is to study a class of boundary value problem including a fractional order differential equation with an integral boundary condition. Sufficient and necessary conditions will be presented for the existence and uniqueness of solution of this fractional boundary value problem. This will be done with Banach and Browder-Poter fixed point theorems.