APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS

被引：16
|
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：
DYNAMIC SYSTEMS AND APPLICATIONS | 2018年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
approximate controllability; hilfer fractional derivative; fractional stochastic differential equations; EVOLUTION EQUATIONS; MILD SOLUTIONS; EXISTENCE;
D O I：
10.12732/dsa.v27i4.1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the approximate controllability of Hilfer fractional neutral stochastic differential equations. Firstly, the existence and uniqueness of mild solutions for these equations are obtained by means of the Banach contraction mapping principle. Then, combining the techniques of stochastic analysis theory, fractional calculations and operator semigroup theory, a new set of sufficient conditions for approximate controllability of these equations is formulated. At last, an example is presented to illustrate the obtained results.
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页码：691 / 713
页数：23
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