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arXiv · 1505.06965

Asymptotic behavior of solutions to space-time fractional diffusion equations

Xing Cheng·Zhiyuan Li·Masahiro Yamamoto
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Abstract

This article discusses the analyticity and the long-time asymptotic behavior of solutions to space-time fractional diffusion equations in $\mathbb{R}^d$. By a Laplace transform argument, we prove that the decay rate of the solution as $t\to\infty$ is dominated by the order of the time-fractional derivative. We consider the decay rate also in a bounded domain.

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Xing Cheng, Zhiyuan Li, Masahiro Yamamoto. 2015-06-02. Asymptotic behavior of solutions to space-time fractional diffusion equations. https://doi.org/10.1002/mma.4033

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