Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations |
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| Authors: | Xing Cheng Zhiyuan Li Masahiro Yamamoto |
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| Affiliation: | 1. College of Science, Hohai University, Nanjing, Jiangsu, China;2. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan |
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| Abstract: | This article discusses the analyticity and the long‐time asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations in  . By a Laplace transform argument, we prove that the decay rate of the solution as t→∞ is dominated by the order of the time‐fractional derivative. We consider the decay rate also in a bounded domain. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | space‐time fractional diffusion‐reaction equation asymptotic behavior Laplace transform Fourier transform |
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. By a Laplace transform argument, we prove that the decay rate of the solution as t→∞ is dominated by the order of the time‐fractional derivative. We consider the decay rate also in a bounded domain. Copyright © 2016 John Wiley & Sons, Ltd.