Stochastic delay fractional evolution equations driven by fractional Brownian motion

被引：35

作者：

Li, Kexue ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 08期

基金：

中国博士后科学基金;

关键词：

fractional evolution equation; fractional Brownian motion; mild solution; EXISTENCE;

D O I：

10.1002/mma.3169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (c) 2014 John Wiley & Sons, Ltd.

引用

页码：1582 / 1591

页数：10

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