EXISTENCE OF A MILD SOLUTION FOR A NEUTRAL STOCHASTIC FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSION WITH A NONLOCAL CONDITION

被引：4

作者：

Chadha, Alka ^{[1
]}

Bahuguna, D. ^{[1
]}

Pandey, Dwijendra N. ^{[1
]}

机构：

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

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2018年 / 30卷 / 02期

关键词：

Fractional calculus; Caputo derivative; resolvent operator; stochastic fractional differential inclusion; neutral equation; nonlocal conditions; multi-valued operators; PARTIAL-DIFFERENTIAL-EQUATIONS; BANACH-SPACES; INITIAL CONDITIONS; HILBERT-SPACE; DELAY; REGULARITY; OPERATORS; THEOREMS;

D O I：

10.1216/JIE-2018-30-2-257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly concerns the existence of a mild solution for a neutral stochastic fractional integro-differential inclusion of order 1 < beta < 2 with a nonlocal condition in a separable Hilbert space. Utilizing the fixed point theorem for multi-valued operators due to O' Regan [29], we establish an existence result involving a beta-resolvent operator. An illustrative example is provided to show the effectiveness of the established results.

引用

页码：257 / 291

页数：35

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