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Daraghmeh, A., Qatanani, N. and Saadeh, A. (2020) Numerical Solution of Fractional Differential Equations. Applied Mathematics, 11, 1100-1115.
https://doi.org/10.4236/am.2020.1111074

has been cited by the following article:

• 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.