Open Physics
(Jan 2016)
On the fractional differential equations with not instantaneous impulses
Zhang Xianmin,
Agarwal Praveen,
Liu Zuohua,
Zhang Xianzhen,
Ding Wenbin,
Ciancio Armando
Affiliations
Zhang Xianmin
School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
Agarwal Praveen
Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Liu Zuohua
School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China
Zhang Xianzhen
School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
Ding Wenbin
Department of Biomedical and Dental Sciences and Morphofunctional Imaging, Messina University, Messina 98125, Italy
Ciancio Armando
School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
DOI
https://doi.org/10.1515/phys-2016-0076
Journal volume & issue
Vol. 14,
no. 1
Abstract
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Based on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq ∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
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