SOLVING SYSTEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING MULTISTAGE TELESCOPING DECOMPOSITION METHOD

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Published: 2016-09-01

Page: 203-214


FOUZIA CHITA

Laboratory of Mathematics and its Applications, University of Oran1 Ahmed Ben Bella, P.O. Box 1524, Oran 31000, Algeria

KACEM BELGHABA *

Laboratory of Mathematics and its Applications, University of Oran1 Ahmed Ben Bella, P.O. Box 1524, Oran 31000, Algeria

*Author to whom correspondence should be addressed.


Abstract

In this paper, the multistage telescoping decomposition method is extended to derive approximate analytical solutions a system of nonlinear fractional differential equations. This method provides us with a simple way to adjust and control the convergence region of solution series by introducing the multistage strategy. This technique provides a sequence of functions which converges to the exact solution of the problem. The present method performs extremely well in terms of efficiency and simplicity. Some examples are solved as illustrations, using symbolic computation. The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations.

 

Keywords: Caputo fractional derivative, systems of fractional differential equations, telescoping decomposition method, multistage method


How to Cite

CHITA, F., & BELGHABA, K. (2016). SOLVING SYSTEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING MULTISTAGE TELESCOPING DECOMPOSITION METHOD. Asian Journal of Mathematics and Computer Research, 13(4), 203–214. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/581

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