Transient anomalous sub-diffusion on bounded domains

Details Transient anomalous sub-diffusion on bounded domains Transient anomalous sub-diffusion on bounded domains

2010-04-22

arxiv.org/abs/1004.3986v2

Mathematics

Probability

12 pages, shorter version of the previous uploaded file in 2010

Scientific paper

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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