Stochastic fractional evolution equations with fractional brownian motion and infinite delay

被引：20

作者：

Xu, Liping ^{[1
]}

Li, Zhi ^{[1
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 336卷

关键词：

Stochastic fractional evolution equation; Fractional Brownian motion; Infinite delay; DIFFERENTIAL-EQUATIONS; EXISTENCE; DRIVEN; MEMORY; STABILITY; NOISES;

D O I：

10.1016/j.amc.2018.04.060

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 fractional evolution equations with infinite delay and a fractional Brownian motion in a Hilbert space. By the stochastic analysis technique, we establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz condition with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：36 / 46

页数：11

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