On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives

On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives

This paper is concerned with the solution for impulsive differential equations with Hadamard fractional derivatives. The general solution of this impulsive fractional system is found by considering the limit case in which impulses approach zero. Next, an example is provided to expound the theoretica...

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Main Authors: Xianmin Zhang, Xianzhen Zhang, Zuohua Liu, Wenbin Ding, Hui Cao, Tong Shu
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/2814310
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spelling doaj-d2558e9aa83a4348bef41dd37e1bc3342020-11-25T01:07:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/28143102814310On the General Solution of Impulsive Systems with Hadamard Fractional DerivativesXianmin Zhang0Xianzhen Zhang1Zuohua Liu2Wenbin Ding3Hui Cao4Tong Shu5School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, ChinaSchool of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaThis paper is concerned with the solution for impulsive differential equations with Hadamard fractional derivatives. The general solution of this impulsive fractional system is found by considering the limit case in which impulses approach zero. Next, an example is provided to expound the theoretical result.http://dx.doi.org/10.1155/2016/2814310
collection DOAJ
language English
format Article
sources DOAJ
author Xianmin Zhang
Xianzhen Zhang
Zuohua Liu
Wenbin Ding
Hui Cao
Tong Shu
spellingShingle Xianmin Zhang
Xianzhen Zhang
Zuohua Liu
Wenbin Ding
Hui Cao
Tong Shu
On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
Mathematical Problems in Engineering
author_facet Xianmin Zhang
Xianzhen Zhang
Zuohua Liu
Wenbin Ding
Hui Cao
Tong Shu
author_sort Xianmin Zhang
title On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
title_short On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
title_full On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
title_fullStr On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
title_full_unstemmed On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
title_sort on the general solution of impulsive systems with hadamard fractional derivatives
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description This paper is concerned with the solution for impulsive differential equations with Hadamard fractional derivatives. The general solution of this impulsive fractional system is found by considering the limit case in which impulses approach zero. Next, an example is provided to expound the theoretical result.
url http://dx.doi.org/10.1155/2016/2814310
work_keys_str_mv AT xianminzhang onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
AT xianzhenzhang onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
AT zuohualiu onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
AT wenbinding onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
AT huicao onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
AT tongshu onthegeneralsolutionofimpulsivesystemswithhadamardfractionalderivatives
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