English

Fractional time stochastic partial differential equations

Probability 2014-04-08 v1

Abstract

In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the L2L_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.

Keywords

Cite

@article{arxiv.1404.1546,
  title  = {Fractional time stochastic partial differential equations},
  author = {Zhen-Qing Chen and Kyeong-Hun Kim and Panki Kim},
  journal= {arXiv preprint arXiv:1404.1546},
  year   = {2014}
}
R2 v1 2026-06-22T03:43:57.557Z