Transient anomalous sub-diffusion on bounded domains

Erkan Nane; Mark M. Meerschaert; Palaniappan Vellaisamy

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arXiv · 1004.3986

Transient anomalous sub-diffusion on bounded domains

Erkan Nane·Mark M. Meerschaert·Palaniappan Vellaisamy

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Abstract

This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractional derivatives is solved. Then a separation of variables, and eigenfunction expansions in time and space, are used to write strong solutions. Finally, stochastic solutions are written in terms of an inverse subordinator.

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BibTeX RIS

Erkan Nane, Mark M. Meerschaert, Palaniappan Vellaisamy. 2010-04-22. Transient anomalous sub-diffusion on bounded domains. https://arxiv.org/abs/1004.3986

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