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Transient Anomalous Sub-diffusion on Bounded Domains by Nane, Erkan; Meerschaert, Mark M.; Vellaisamy, Palaniappan is a scholarly article available to read on EtoBox.

What is Transient Anomalous Sub-diffusion on Bounded Domains about?

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.

Author

Nane, Erkan; Meerschaert, Mark M.; Vellaisamy, Palaniappan

Published

2010

Language

EN