Analytical approximate solutions for nonlinear fractional differential equations

Authors:
Nabil T. Shawagfeh
Affiliations:
Department of Mathematics and Computer Science, Faculty of Science, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab Emirates and Department of Mathematics, Faculty of Science, ...
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

We consider a class of nonlinear fractional differential equations (FDEs) based on the Caputo fractional derivative and by extending the application of the Adomian decomposition method we derive an analytical solution in the form of a series with easily computable terms. For linear equations the method gives exact solution, and for non-linear equations it provides an approximate solution with good accuracy. Several examples are discussed.