Series Solutions of Systems of Nonlinear Fractional Differential Equations |
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Authors: | A S Bataineh A K Alomari M S M Noorani I Hashim R Nazar |
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Institution: | (1) School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia |
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Abstract: | Differential equations of fractional order appear in many applications in physics, chemistry and engineering. An effective
and easy-to-use method for solving such equations is needed. In this paper, series solutions of the FDEs are presented using
the homotopy analysis method (HAM). The HAM provides a convenient way of controlling the convergence region and rate of the
series solution. It is confirmed that the HAM series solutions contain the Adomian decomposition method (ADM) solution as
special cases.
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Keywords: | Homotopy analysis method System of nonlinear fractional differential equations Caputo fractional derivative |
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