Abstract
In this paper, we consider the fractional multi-point boundary value problem with impulse effects. As indicated by M Feckan, Y Zhou and JR Wang in 2012, the concepts of piecewise continuous solutions used in most of the current literature about the impulsive differential equations of fractional order are not appropriate. Based on a new concept of a piecewise continuous solution, we establish sufficient conditions for the existence of the solutions for the boundary value problem at resonance by the continuation theorem of coincidence degree theory.
Highlights
We are concerned with the existence of the impulsive differential equation of fractional order
In [, ], the authors indicated that the concept of piecewise continuous solutions used in most of the current literature about the impulsive differential equations of fractional order are not appropriate
As far as we know, there are few papers to deal with fractional differential equations with impulses under resonant conditions
Summary
We are concerned with the existence of the impulsive differential equation of fractional order In [ , ], the authors indicated that the concept of piecewise continuous solutions used in most of the current literature about the impulsive differential equations of fractional order are not appropriate. ). Based on the new concept of a piecewise continuous solution presented in [ , ], we establish some existence results about the problem
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