ANALYTICAL SOLUTION FOR MULTI-TERM FRACTIONAL DELAY DIFFERENTIAL EQUATIONS

In this paper a nonlinear delay differential equation (NDDE) of arbitrary orders of Riemann- Liouville sense is studied. Adomian decomposition method (ADM) is used to solve this type of equations. The existence and stability of a unique solution will be proved. Convergence analysis of ADM is discussed. The maximum absolute truncated error of Adomian’s series solution is estimated. Stability of the solution is also discussed.