TITLE:
Analytical Solution of Nonlinear System of Fractional Differential Equations
AUTHORS:
Eman Ali Ahmed Ziada
KEYWORDS:
Fractional Differential Equations, Adomian Decomposition Method, Existence, Uniqueness, Error Analysis, Rabies Model
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.10,
October
28,
2021
ABSTRACT: In this paper, we apply the Adomian decomposition method (ADM) for solving nonlinear system of fractional differential equations (FDEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as fractional-order rabies model.