Existence of ahnost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

被引：64

作者：

Ma, Xiao ^{[1
]}

Shu, Xiao-Bao ^{[1
]}

Mao, Jianzhong ^{[2
]}

机构：

[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Dept Mech & Transport Engn, Changsha 410082, Hunan, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2020年 / 20卷 / 01期

关键词：

Neutral fractional differential equation; mild solutions; stochastic differential equations; impulsive differential equations; quadratic mean almost periodic; CELLULAR NEURAL-NETWORKS; BOUNDARY-VALUE PROBLEM; STABILITY;

D O I：

10.1142/S0219493720500033

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. In the end, we give an example to illustrate our main results.

引用

页数：31

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