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, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:275933
@article{bwmeta1.element.doi-10_1515_math-2015-0073,
     author = {Xianmin Zhang and Praveen Agarwal and Zuohua Liu and Hui Peng},
     title = {The general solution for impulsive differential equations with Riemann-Liouville fractional-order q [?] (1,2)},
     journal = {Open Mathematics},
     volume = {13},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0073}
}
Xianmin Zhang; Praveen Agarwal; Zuohua Liu; Hui Peng. The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2). Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0073/

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