Adomian’s Method applied to solve ordinary and partial fractional differential equations |
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Authors: | Lili Hao Xiaoyan Li Song Liu Wei Jiang |
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Institution: | 1.Department of Mathematics Science,Anhui University,Hefei,China;2.Department of Mathematics,East China Normal University,Shanghai,China |
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Abstract: | This paper presents a method to solve the problems of solutions for integer differential and partial differential equations using the convergence of Adomian’s Method. In this paper, we firstly use the convergence of Adomian’s Method to derive the solutions of high order linear fractional equations, and then the numerical solutions for nonlinear fractional equations. we also get the solutions of two fractional reaction-diffusion equations. We can see the advantage of this method to deal with fractional differential equations. |
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