期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 403, 期 2, 页码 532-546出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.02.046
关键词
Pearson diffusion; Fractional derivative; Eigenfunction expansion; Stable process; Hitting time; Mittag-Leffler function
资金
- NSF [DMS-1025486, DMS-0803360]
- NIH [R01-EB012079]
- European commission [PIRSES-GA-2008-230804]
Pearson diffusions are governed by diffusion equations with polynomial coefficients. Fractional Pearson diffusions are governed by the corresponding time-fractional diffusion equation. They are useful for modeling sub-diffusive phenomena, caused by particle sticking and trapping. This paper provides explicit strong solutions for fractional Pearson diffusions, using spectral methods. It also presents stochastic solutions, using a non-Markovian inverse stable time change. (C) 2013 Elsevier Inc. All rights reserved.
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