On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions

Abstract

In this article, we consider a class of fractional boundary value problems with Caputo fractional derivative of order α ∈ (2, 3). The existence and uniqueness of solutions are discussed and the Adomian decomposition method is proposed to obtain an approximation of the solution. Finally, an example is given to demonstrate the validity of results.