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Fractional time stochastic partial differential equations
- Authors
- Chen, Zhen-Qing; Kim, Kyeong-Hun; Kim, Panki
- Issue Date
- 4월-2015
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Stochastic partial differential equations; Fractional time derivative; L-2-theory
- Citation
- STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.125, no.4, pp.1470 - 1499
- Indexed
- SCIE
SCOPUS
- Journal Title
- STOCHASTIC PROCESSES AND THEIR APPLICATIONS
- Volume
- 125
- Number
- 4
- Start Page
- 1470
- End Page
- 1499
- ISSN
- 0304-4149
- Abstract
- 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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