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Series Solutions of Systems of Nonlinear Fractional Differential Equations
Authors:A S Bataineh  A K Alomari  M S M Noorani  I Hashim  R Nazar
Institution:(1) School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
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.
Keywords:Homotopy analysis method  System of nonlinear fractional differential equations  Caputo fractional derivative
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