On the fractional differential equations with not instantaneous impulses

Abstract

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.

Keywords

• fractional differential equations
• impulses
• non-instantaneous impulses
• general solution
• 02.30.hq
• 02.30.ik