Solution of Nonlinear Fractional Differential Equations containing Caputo Derivative | ||||
| Nile Journal of Basic Science | ||||
| Article 1, Volume 3, Issue 1, 2023, Page 1-10 PDF (917.74 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/njbs.2023.324092 | ||||
 View on SCiNiTO | ||||
| Author | ||||
Eman A. A. Ziada  
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| Nile higher institute for engineering and technology | ||||
| Abstract | ||||
| In this paper, Adomian decomposition method (ADM) will apply to solve nonlinear fractional differential equations (FDEs) of Caputo sense. These type of equations is very important in engineering applications. Existence and uniqueness of the solution will prove. The convergence of the series solution and the error analysis will discuss. Some numerical examples will solve to test the validity of the method and the given theorems. | ||||
| Keywords | ||||
| Fractional Differential Equation; Adomian Method; Existence; Uniqueness; Error Analysis. | ||||
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