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.
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页码：85 / 111
页数：27
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