This article discusses the analyticity and the long-time asymptotic behavior of solutions to space-time fractional diffusion equations in R d . By a Laplace transform argument, we prove that the… Click to show full abstract
This article discusses the analyticity and the long-time asymptotic behavior of solutions to space-time fractional diffusion equations in R d . By a Laplace transform argument, we prove that the decay rate of the solution as t ! 1 is dominated by the order of the time-fractional derivative. We consider the decay rate also in a bounded domain.
               
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