Approximate Solutions For Delay Differential Equations Of Fractional Order

The main theme of this thesis is oriented about two objects: The first objective is to find the approximate solution of delay differential equations of fractional order using Adomian decomposition method. The second objective is to find the approximate solution of delay differential equations of fractional order using homotopy analysis method. In both methods, the solutions are found in the form of a convergent power series with easily computed components.Some numerical examples are presented and the results of these examples are compared with the exact solution in order to illustrate the accuracy and ability of the proposed methods.