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TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS.
- Source :
-
Proceedings of the American Mathematical Society . Feb2013, Vol. 141 Issue 2, p699-710. 12p. - Publication Year :
- 2013
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 141
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 83744268
- Full Text :
- https://doi.org/10.1090/s0002-9939-2012-11362-0