Solutions of Fractional differential equations with some modifications of Adomian Decomposition method
Botros, M., Ziada, E., El-Kalla, I. (2023). Solutions of Fractional differential equations with some modifications of Adomian Decomposition method. EKB Journal Management System, 6(1), 292-299. doi: 10.21608/dusj.2023.291073
Monica Botros; E. A.A. Ziada; I. L. El-Kalla. "Solutions of Fractional differential equations with some modifications of Adomian Decomposition method". EKB Journal Management System, 6, 1, 2023, 292-299. doi: 10.21608/dusj.2023.291073
Botros, M., Ziada, E., El-Kalla, I. (2023). 'Solutions of Fractional differential equations with some modifications of Adomian Decomposition method', EKB Journal Management System, 6(1), pp. 292-299. doi: 10.21608/dusj.2023.291073
Botros, M., Ziada, E., El-Kalla, I. Solutions of Fractional differential equations with some modifications of Adomian Decomposition method. EKB Journal Management System, 2023; 6(1): 292-299. doi: 10.21608/dusj.2023.291073

Solutions of Fractional differential equations with some modifications of Adomian Decomposition method

Delta University Scientific Journal
Volume 6, Issue 1, April 2023, Page 292-299  XML PDF (380.33 K)
Document Type: Original research papers
DOI: 10.21608/dusj.2023.291073
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Authors
Monica Botros1; E. A.A. Ziada* 2; I. L. El-Kalla* 3
1Department of Basic science, Faculty of Engineering, Delta University for science and technology, Mansoura. Egypt,
2Nile Higher Institute for Engineering and Technology, Mansoura, Egypt
3Department of Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.
Abstract
In this paper, we apply the Adomian decomposition method (ADM) for solving Fractional Differential Equations (FDEs) with some modifications to the traditional method. The aim of this paper is to make ADM more efficient, rapid in convergence, and easy to use, so we will discuss two modifications. We use the reliable modification to simplify calculations. For difficulties in symbolic integration, we use a numerical implementation method. All these modifications were applied to the integer-order case, so we would apply it to FDEs. Some numerical results are given from solving these cases and comparing the solution with the ADM method.
Keywords
Fractional differential equations; Adomian decomposition Method; reliable modification; numerical implementation
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