The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)

• Autorzy: Xianmin Zhang , Praveen Agarwal , Zuohua Liu , Hui Peng
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the generalized impulsive system with Riemann-Liouville fractional-order q ∈ (1,2) and obtained the error of the approximate solution for this impulsive system by analyzing of the limit case (as impulses approach zero), as well as find the formula for a general solution. Furthermore, an example is given to illustrate the importance of our results.

Słowa kluczowe

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-08-15

zaakceptowano

2015-09-29

online

2015-12-16

Twórcy

autor

Xianmin Zhang

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

autor

Praveen Agarwal

• Department of Mathematics, Anand International College of Engineering, Jaipur-303012,
  Republic of India

autor

Zuohua Liu

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

autor

Hui Peng

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

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Identyfikatory

DOI

10.1515/math-2015-0073