Solving a fourth‐order fractional diffusion‐wave equation in a bounded domain by decomposition method |
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| Authors: | Hossein Jafari Mehdi Dehghan Khosro Sayevand |
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| Institution: | 1. Department of Mathematics and Computer Science, University of Mazandaran, Babolsar, Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;3. Department of Mathematics, University of Malayer, Malayer, Iran |
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| Abstract: | In this article, the Adomian decomposition method has been used to obtain solutions of fourth‐order fractional diffusion‐wave equation defined in a bounded space domain. The fractional derivative is described in the Caputo sense. Convergence of the method has been discussed with some illustrative examples. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008 |
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| Keywords: | Adomian decomposition method bounded domain caputo fractional derivative fractional diffusion‐wave equation Mittag‐Leffler function |
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