Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion

被引：24

作者：

Lakhel, El Hassan ^{[1
]}

机构：

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

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2016年 / 34卷 / 03期

关键词：

Neutral stochastic partial integro-differential equations; resolvent operators; fractional Brownian motion; SYSTEMS; DELAY; EXISTENCE; BEHAVIOR;

D O I：

10.1080/07362994.2016.1149718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article focuses on controllability results of neutral stochastic delay partial functional integro-differential equations perturbed by fractional Brownian motion. Sufficient conditions are established using the theory of resolvent operators developed by Grimmer [Resolvent operators for integral equations in Banach spaces, Trans. Amer. Math. Soc., 273(1982):333-349] combined with a fixed point approach for achieving the required result. An example is provided to illustrate the theory.

引用

页码：427 / 440

页数：14

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