An Approximation Technique for Fractional Order Delay Differential Equations

Abstract

In this research article, an Iterative Decomposition Method is applied toapproximate linear and non-linear fractional delay differential equation. The methodwas used to express the solution of a Fractional delay differential equation in theform of a convergent series of infinite terms which can be effortlessly computable.The method requires neither discretization nor linearization. Solutions obtained forsome test problems using the proposed method were compared with those obtainedfrom some methods and the exact solutions. The outcomes showed the proposedapproach is more efficient and correct.