Mild solution for impulsive neutral fractional partial differential inclusions with nonlocal conditions

被引：2

作者：

Chadha, Alka ^{[1
]}

Pandey, Dwijendra N. ^{[1
]}

机构：

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

来源：

COLLECTANEA MATHEMATICA | 2016年 / 67卷 / 01期

关键词：

Fractional calculus; Caputo derivative; Impulsive; Resolvent operator; Neutral fractional differential inclusion; EXISTENCE; EQUATIONS; REGULARITY;

D O I：

10.1007/s13348-015-0158-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the existence of a mild solution of a fractional order nonlocal differential inclusion with impulsive condition in a Banach space E. We obtain the sufficient condition for the existence of the mild solution by using a fixed point theorem for multi-valued operators due to Dhage and resolvent semigroup theory with approximate techniques.

引用

页码：85 / 111

页数：27

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