Numerical approach to differential equations of fractional order

Authors:
Shaher Momani;Zaid Odibat
Affiliations:
Department of Mathematics, Mutah University, P.O. Box 7, Al-Karak, Jordan;Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa' Applied University, Salt, Jordan
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 6
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Abstract

In this paper, the variational iteration method and the Adomian decomposition method are implemented to give approximate solutions for linear and nonlinear systems of differential equations of fractional order. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. This paper presents a numerical comparison between the two methods for solving systems of fractional differential equations. Numerical results show that the two approaches are easy to implement and accurate when applied to differential equations of fractional order.