Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions

被引：11

作者：

Chadha, Alka ^{[1
]}

Pandey, Dwijendra N. ^{[1
]}

机构：

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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

关键词：

Fractional calculus; Caputo derivative; resolvent operator; impulsive stochastic fractional differential inclusion; neutral equation; nonlocal conditions; multi-valued operators; DIFFERENTIAL-EQUATIONS; INITIAL CONDITIONS; STABILITY;

D O I：

10.1007/s00009-015-0558-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly concerns with the existence of a mild solution for impulsive neutral integro-differential inclusions with nonlocal conditions in a separable Hilbert space. Utilizing fixed point theorem for multi-valued operators due to Dhage, we establish the existence result with resolvent operator and eta-norm. An illustrative example is provided to show the effectiveness of the established results.

引用

页码：1005 / 1031

页数：27

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