Space-time fractional diffusion on bounded domains

Zhen-Qing Chen; Mark M. Meerschaert; Erkan Nane

doi:10.1016/j.jmaa.2012.04.032

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arXiv · 1109.2881

Space-time fractional diffusion on bounded domains

Zhen-Qing Chen·Mark M. Meerschaert·Erkan Nane

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Abstract

Fractional diffusion equations replace the integer-order derivatives in space and time by their fractional-order analogues. They are used in physics to model anomalous diffusion. This paper develops strong solutions of space-time fractional diffusion equations on bounded domains, as well as probabilistic representations of these solutions, which are useful for particle tracking codes.

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BibTeX RIS

Zhen-Qing Chen, Mark M. Meerschaert, Erkan Nane. 2011-09-13. Space-time fractional diffusion on bounded domains. https://doi.org/10.1016/j.jmaa.2012.04.032

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