Abdallah Al-Habahbeh, "Numerical Solution of a System of Fractional Ordinary Differential Equations by a Modified Variational Iteration Procedure," WSEAS Transactions on Mathematics, vol. 21, pp. 309-318, 2022, DOI:10.37394/23206.2022.21.36
Abdallah Al-Habahbeh. Numerical Solution of a System of Fractional Ordinary Differential Equations by a Modified Variational Iteration Procedure.
WSEAS Transactions on Mathematics. 2022;21:309-318. 10.37394/23206.2022.21.36
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Numerical Solution of a System of Fractional Ordinary Differential Equations by a Modified Variational Iteration Procedure
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Abstract: In this paper, a robust modification of the variational iteration method that gives a numerical solution for a system of linear/nonlinear differential equations of fractional order was proposed. This technique does not need the perturbation theory or linearization. The conformable fractional derivative initiated by the authors Khalil et al. is considered. The efficiency of the modified method is established via illustrative examples. For linear and nonlinear systems, the approximate solutions are in excellent agreement with the exact solutions.
Pages: 309-318 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #36 DOI: 10.37394/23206.2022.21.36
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