The general solution of impulsive systems with Riemann-Liouville fractional derivatives
Xianmin Zhang ; Wenbin Ding ; Hui Peng ; Zuohua Liu ; Tong Shu
Open Mathematics, Tome 14 (2016), p. 1125-1137 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:288022 
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     author = {Xianmin Zhang and Wenbin Ding and Hui Peng and Zuohua Liu and Tong Shu},
     title = {The general solution of impulsive systems with Riemann-Liouville fractional derivatives},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {1125-1137},
     zbl = {1357.34021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0096}
}

Xianmin Zhang; Wenbin Ding; Hui Peng; Zuohua Liu; Tong Shu. The general solution of impulsive systems with Riemann-Liouville fractional derivatives. Open Mathematics, Tome 14 (2016) pp. 1125-1137. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0096/