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Homotopy perturbation method for linear and nonlinear system of fractional integro-differential equations, International Journal of Computational mathematics and Numerical Simulation, 1(1), p.(73-87), ().

• 2008
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Authors N. H. Sweilam, M. M. Khader and R. F. Al-Bar
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publication.type Local
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Abstract
This paper presents the analytical and approximate solutions of the coupled chaotic Van der Pol-Duffing systems, by using the He s parameter-expansion method (PEM). One iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution domain. From the obtained results, we can conclude that the suggest method, is of utter simplicity, and can be easily extended to all kinds of non-linear equations.