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

• Autorzy: Xianmin Zhang , Wenbin Ding , Hui Peng , Zuohua Liu , Tong Shu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution

Kategorie tematyczne

• 34A08: Fractional differential equations
• 34A37: Differential equations with impulses

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1125-1137

Daty

wydano

2016-01-01

otrzymano

2015-10-06

zaakceptowano

2016-11-15

online

2016-12-30

Twórcy

autor

Xianmin Zhang

• School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005,

autor

Wenbin Ding

• School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005,

autor

Hui Peng

• School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005,

autor

Zuohua Liu

• School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044,

autor

Tong Shu

• School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005,

Identyfikatory

DOI

10.1515/math-2016-0096