Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay

被引:39
|
作者
Chadha, Alka [1 ]
Pandey, Dwijendra N. [1 ]
机构
[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India
关键词
Resolvent operator; Impulsive differential equation; Fixed point theorem; Neutral integro-differential equation; Stochastic differential equation; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; EVOLUTION EQUATIONS; INCLUSIONS; UNIQUENESS;
D O I
10.1016/j.na.2015.07.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we consider an impulsive neutral stochastic fractional integrodifferential equation with infinite delays in an arbitrary separable Hilbert space. The existence of mild solution is obtained by using resolvent operator and fixed point theorems. An example is considered to illustrate the theory and conclusion is also provided at the end of the manuscript. (c) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:149 / 175
页数:27
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