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

被引：30

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

页码：102 / 114

页数：13

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