Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay

被引：22

作者：

Chaudhary, Renu ^{[1
]}

Pandey, Dwijendra N. ^{[2
]}

机构：

[1] GD Goenka Univ, Sch Engn, Dept Basic & Appl Sci, Gurgaon, India

[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2019年 / 37卷 / 05期

关键词：

Impulsive neutral fractional stochastic integro-differential systems; fixed point theorems; measure of noncompactness; semigroup theory; state dependent delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; STRUCTURED POPULATION-GROWTH; INCLUSIONS;

D O I：

10.1080/07362994.2019.1621181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a framework for study the mild solution to fractional neutral stochastic integro-differential systems with state dependent delay and noninstantaneous impulses in Hilbert spaces. To obtain the existence results, we have utilized the concepts of fractional calculus, fixed point theorems, stochastic analysis and semigroup theory. Finally, examples are provided to demonstrate the obtained results.

引用

页码：865 / 892

页数：28

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