期刊
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
卷 125, 期 4, 页码 1470-1499出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.spa.2014.11.005
关键词
Stochastic partial differential equations; Fractional time derivative; L-2-theory
资金
- NSF [DMS-1206276]
- Samsung Science and Technology Foundation [SSTF-BA1401-02]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1206276] Funding Source: National Science Foundation
In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the L-2-theory of the equations. This class of SPDEs can be used to describe random effects on transport of particles in medium with thermal memory or particles subject to sticking and trapping. (C) 2014 Elsevier B.V. All rights reserved.
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