English

Stochastic delay fractional evolution equations driven by fractional Brownian motion

Probability 2014-06-13 v1

Abstract

In this paper, we consider a class of stochastic delay fractional evolution equations driven by fractional Brownian motion in a Hilbert space. Sufficient conditions for the existence and uniqueness of mild solutions are obtained. An application to the stochastic fractional heat equation is presented to illustrate the theory.

Keywords

Cite

@article{arxiv.1406.3336,
  title  = {Stochastic delay fractional evolution equations driven by fractional Brownian motion},
  author = {Kexue Li},
  journal= {arXiv preprint arXiv:1406.3336},
  year   = {2014}
}
R2 v1 2026-06-22T04:37:28.594Z