Solving linear and non‐linear space–time fractional reaction–diffusion equations by the Adomian decomposition method |
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| Authors: | Q Yu F Liu V Anh I Turner |
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| Affiliation: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361006, China;2. Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia;3. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | In this paper, we consider linear and non‐linear space–time fractional reaction–diffusion equations (STFRDE) on a finite domain. The equations are obtained from standard reaction–diffusion equations by replacing a second‐order space derivative by a fractional derivative of order β∈(1, 2], and a first‐order time derivative by a fractional derivative of order α∈(0, 1]. We use the Adomian decomposition method to construct explicit solutions of the linear and non‐linear STFRDE. Finally, some examples are given. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | fractional reaction– diffusion equation decomposition method space– time fractional derivative linear/non‐linear reaction |
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