Application of a New Approach to the Adomian Method to the Solution of Fractional-order Integro-differential Equations

In this paper we solve fractional order integro-differential equations of Fredholm type and Volterra type. For the solution we use a new Adomian decompositional method.In the first part we give the basic notions on fractional operators, essential to our work. The second part is devoted to the description and convergence of the method. In the third part, the method has been used to solve fractional order integro-differential equations of Fredholm type and Volterra type. The last part is devoted to the conclusion and some bibliographical references.