TY - JOUR
T1 - Fractional time stochastic partial differential equations
AU - Chen, Zhen Qing
AU - Kim, Kyeong Hun
AU - Kim, Panki
N1 - Funding Information:
We thank T. Kumagai for discussions on topics related to deterministic fractional time equations and the anonymous referee for many useful comments and some references. Research of ZC is partially supported by NSF Grant DMS-1206276 . Research of KK was supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1401-02 . Research of PK was supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1401-02.
PY - 2015/4
Y1 - 2015/4
N2 - In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the L2-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.
AB - In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the L2-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.
KW - Fractional time derivative
KW - L-theory
KW - Stochastic partial differential equations
UR - http://www.scopus.com/inward/record.url?scp=84922567801&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84922567801&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2014.11.005
DO - 10.1016/j.spa.2014.11.005
M3 - Article
AN - SCOPUS:84922567801
VL - 125
SP - 1470
EP - 1499
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
SN - 0304-4149
IS - 4
ER -