Approximate Controllability of Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion

被引：1

作者：

Lv, Jingyun ^{[1
,2
]}

Yang, Xiaoyuan ^{[1
,2
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

[2] Beihang Univ, LMIB, Beijing 100191, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Approximate controllability; Fractional stochastic differential equations; Fractional Brownian motion; EVOLUTION-EQUATIONS; MILD SOLUTIONS; DERIVATIVE DRIVEN; EXISTENCE; SYSTEMS;

D O I：

10.1007/s40840-019-00825-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existing works on approximate controllability often assume that the nonlinear item is uniformly bounded and the corresponding fractional linear system is approximate controllable, which is, however, too constrained. In this paper, we omit these two assumptions and investigate the approximate controllability of fractional stochastic differential equations driven by fractional Brownian motion. We also demonstrate that our results can be extended to fractional stochastic differential equations with bounded delay.

引用

页码：2605 / 2626

页数：22

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