Functional impulsive differential equation of order α ε (1,2) with nonlocal initial and integral boundary conditions

被引：3

作者：

Gupta, Vidushi ^{[1
]}

Dabas, Jaydev ^{[1
]}

机构：

[1] IIT Roorkee, Dept Appl Sci & Engn, Saharanpur Campus, Saharanpur 247001, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 07期

关键词：

fractional order differential equation; impulsive conditions; boundary value problems; fixed-point theorems; EXISTENCE;

D O I：

10.1002/mma.4147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main work is related to show the existence and uniqueness of solution for the fractional impulsive differential equation of order alpha epsilon (1,2) with an integral boundary condition and finite delay. Using the application of the Banach and Sadovaskii fixed-point theorems, we obtain the main results. An example is presented at the end to verify the results of the paper. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：2409 / 2420

页数：12

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