Analytical solution of linear and nonlinear fractional differential equations | ||||
| Nile Journal of Basic Science | ||||
| Article 1, Volume 1, Issue 1, 2021, Page 1-13 PDF (1.46 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/njbs.2021.202511 | ||||
 View on SCiNiTO | ||||
| Author | ||||
Eman A. A. Ziada  
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| Nile higher institute for engineering and technology | ||||
| Abstract | ||||
| In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear 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 relaxation-oscillation equation, Basset problem and fractional Riccati differential equation. | ||||
| Keywords | ||||
| Adomian Method; existence; uniqueness; error analysis; relaxation-oscillation equation; Basset problem; Riccati differential equation. | ||||
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