On a new class of abstract impulsive functional differential equations of fractional order

被引:31
|
作者
Kumar, Pradeep [1 ]
Pandey, Dwijendra N. [2 ]
Bahuguna, D. [1 ]
机构
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
[2] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 02期
关键词
Impulsive fractional differential equations; Analytic semigroup; Fixed point theorems; EXISTENCE; CONTROLLABILITY;
D O I
10.22436/jnsa.007.02.04
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the existence and uniqueness of mild solutions for the impulsive fractional differential equations for which the impulses are not instantaneous in a Banach space H. The results are obtained by using the analytic semigroup theory and the fixed points theorems. (C)2014 All rights reserved.
引用
收藏
页码:102 / 114
页数:13
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