ANALYTICAL SOLUTION FOR MULTI-TERM FRACTIONAL DELAY DIFFERENTIAL EQUATIONS

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Published: 2021-10-18

Page: 40-50


E. A. A. ZIADA *

Department of Basic Science, Nile Higher Institute for Engineering & Technology, Mansoura, Egypt.

*Author to whom correspondence should be addressed.


Abstract

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.

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


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 https://ikprress.org/index.php/AJOMCOR/article/view/7086

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