Published February 5, 2017 | Version v1

On the fractional differential equations with not instantaneous impulses

  • 1. School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
  • 2. Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
  • 3. School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China
  • 4. School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
  • 5. Department of Biomedical and Dental Sciences and Morphofunctional Imaging, Messina University, Messina 98125, Italy

Description

AbstractBased 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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