Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations
Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations
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DOI：
10.1002/mma.4033
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发表时间：
2015-05
影响因子：
2.9
通讯作者：
Xing Cheng;Zhi-yuan Li;Masahiro Yamamoto
中科院分区：
文献类型：
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作者：
Xing Cheng;Zhi-yuan Li;Masahiro Yamamoto
本文讨论了一类时空分数阶扩散反应方程解的解析性和长时渐近性。通过拉普拉斯变换论证，我们证明了当t→∞时解的衰减率是由时间阶导数的阶数决定的。我们还考虑了有界区域内的衰减率。版权所有©2016 John Wiley & Sons， Ltd。
This article discusses the analyticity and the long‐time asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations in Rd . 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.