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

Xianmin Zhang, et al. "The general solution of impulsive systems with Riemann-Liouville fractional derivatives." Open Mathematics 14.1 (2016): 1125-1137. <http://eudml.org/doc/288022>.

@article{XianminZhang2016,
abstract = {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.},
author = {Xianmin Zhang, Wenbin Ding, Hui Peng, Zuohua Liu, Tong Shu},
journal = {Open Mathematics},
keywords = {Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution; fractional differential equations; impulse; general solution},
language = {eng},
number = {1},
pages = {1125-1137},
title = {The general solution of impulsive systems with Riemann-Liouville fractional derivatives},
url = {http://eudml.org/doc/288022},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Xianmin Zhang
AU - Wenbin Ding
AU - Hui Peng
AU - Zuohua Liu
AU - Tong Shu
TI - The general solution of impulsive systems with Riemann-Liouville fractional derivatives
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1125
EP - 1137
AB - 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.
LA - eng
KW - Fractional differential equations; Riemann-Liouville fractional derivative; Impulse; General solution; fractional differential equations; impulse; general solution
UR - http://eudml.org/doc/288022
ER -