Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion

被引：0

作者：

Lahmoudi, Ahmed ^{[1
]}

Lakhel, El Hassan ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Natl Sch Appl Sci, Safi 46000, Morocco

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2022年 / 30卷 / 03期

关键词：

Stochastic fractional impulsive differential equations; fractional powers of operators; infinite delay; fractional Brownian motion;

D O I：

10.1515/rose-2022-2080

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 consider a class of fractional impulsive neutral stochastic functional differential equations with infinite delay driven by a fractional Brownian motion in a real separable Hilbert space. We prove the existence of mild solutions by using stochastic analysis and a fixed-point strategy.

引用

页码：171 / 182

页数：12

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