The general solution of impulsive systems with Riemann-Liouville fractional derivatives

被引：5

作者：

Zhang, Xianmin ^{[1
]}

Ding, Wenbin ^{[1
]}

Peng, Hui ^{[1
]}

Liu, Zuohua ^{[2
]}

Shu, Tong ^{[1
]}

机构：

[1] Jiujiang Univ, Sch Elect Engn, Jiujiang 332005, Jiangxi, Peoples R China

[2] Chongqing Univ, Sch Chem & Chem Engn, Chongqing 400044, Peoples R China

来源：

OPEN MATHEMATICS | 2016年 / 14卷

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; ORDER; EXISTENCE;

D O I：

10.1515/math-2016-0096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined. An example is also provided to illustrate the result.

引用

页码：1125 / 1137

页数：13

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