Stochastic delay fractional evolution equations driven by fractional Brownian motion

Publisher: John Wiley & Sons Inc

E-ISSN: 1099-1476|38|8|1582-1591

ISSN: 0170-4214

Source: MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol.38, Iss.8, 2015-05, pp. : 1582-1591

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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. Copyright © 2014 John Wiley & Sons, Ltd.