Approximate Solutions For Fractional Delay Differential Equations By Using Sumudu Transform Method

In this paper, we use the Sumudu transform method to find approximate solution for nonlinear fractional delay differential equations. The fractional derivatives are described in the Caputo sense. Four examples are given to illustrate the applicability of the method. In the first example the exact solution is known and we find the 1st four terms of the solution. Also the table of computations with absolute error is given where the maximum error is 0.0003. In the 2nd example the 1st three terms of the approximate solution and a table of approximate computations with maximum error 0.001 is given. Finally in the last two examples the exact solution is unknown so the 1st three terms of the approximate solution with a table of computations and figures are givens..