On the fractional differential equations with not instantaneous impulses

Open Physics

Ding Wenbin¹  Agarwal Praveen²  Zhang Xianzhen³  Liu Zuohua⁴  Zhang Xianmin⁵  Ciancio Armando⁵ 

[1] Department of Biomedical and Dental Sciences and Morphofunctional Imaging, Messina University, Messina 98125, Italy;Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India;School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China;School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China;School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China;

关键词: fractional differential equations;    impulses;    non-instantaneous impulses;    general solution;    02.30.hq;    02.30.ik;   

DOI  :  10.1515/phys-2016-0076

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown