On the concept of general solution for impulsive differential equations of fractional order q∊(0,1)

摘要

In this paper, for impulsive differential equations with fractional-order q∈(0,1), we show that the formula of solutions in cited papers are incorrect. Secondly, we find out a formula of the general solution for impulsive Cauchy problem with Caputo fractional derivative q∈(0,1). Further, for a kind of impulsive fractional differential equations system with special initial value, we come to an existence result for it by applying fixed point methods.