The general solution of impulsive systems with Riemann-Liouville fractional derivatives

Abstract

In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined. An example is also provided to illustrate the result.

Keywords

• fractional differential equations
• riemann-liouville fractional derivative
• impulse
• general solution
• 34a08
• 34a37