Existence of the Mild Solution for an Impulsive Nonlocal Neutral Stochastic Fractional Differential Inclusions with Infinite Delay

被引：0

作者：

Chadha A. ^{[1
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / Suppl 1期

关键词：

Infinite delay; Multi-valued mapping; Nonlocal conditions; Resolvent operator; Stochastic fractional integro-differential inclusions;

D O I：

10.1007/s40819-017-0378-5

中图分类号：

学科分类号：

摘要：

This paper studies an impulsive nonlocal neutral stochastic fractional integro-differential inclusions with infinite delays in an arbitrary separable Hilbert space X. The sufficient conditions proving the existence of mild solution of the nonlocal stochastic inclusion problem with impulsive conditions are derived by using resolvent operator and fixed point theorem for multi-valued operators due to O’Regan. An example is also presented to illustrate the obtained theory. © 2017, Springer (India) Private Ltd.

引用

页码：699 / 726

页数：27

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