The Existence, Uniqueness, and Controllability of Neutral Stochastic Delay Partial Differential Equations Driven by Standard Brownian Motion and Fractional Brownian Motion

被引：6

作者：

Ruan, Dehao ^{[1
]}

Luo, Jiaowan ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Dept Probabil & Stat, Guangzhou 510006, Guangdong, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷

基金：

中国国家自然科学基金;

关键词：

EVOLUTION-EQUATIONS; INFINITE DELAY; CONVERGENCE; INCLUSIONS; STABILITY; RESPECT; SYSTEMS;

D O I：

10.1155/2018/7502514

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We focus on a class of neutral stochastic delay partial differential equations perturbed by a standard Brownian motion and a fractional Brownian motion. Under some suitable assumptions, the existence, uniqueness, and controllability results for these equations are investigated by means of the Banach fixed point method. Moreover, an example is presented to illustrate our main results.

引用

页数：11

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