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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.

Nonlinear delay differential equation, arbitrary orders, banach space, fixed point theorem, convergence analysis, stability, adomian decomposition method

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How to Cite
ZIADA, E. A. A. (2021). ANALYTICAL SOLUTION FOR MULTI-TERM FRACTIONAL DELAY DIFFERENTIAL EQUATIONS. Asian Journal of Mathematics and Computer Research, 28(3), 40-50. Retrieved from
Original Research Article


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