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

Xianmin Zhang; Praveen Agarwal; Zuohua Liu; Hui Peng

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Xianmin Zhang, et al. "The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275933>.

@article{XianminZhang2015,
abstract = {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.},
author = {Xianmin Zhang, Praveen Agarwal, Zuohua Liu, Hui Peng},
journal = {Open Mathematics},
keywords = {Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution},
language = {eng},
number = {1},
pages = {null},
title = {The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)},
url = {http://eudml.org/doc/275933},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Xianmin Zhang
AU - Praveen Agarwal
AU - Zuohua Liu
AU - Hui Peng
TI - The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - 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.
LA - eng
KW - Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution
UR - http://eudml.org/doc/275933
ER -

References

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