The Solution For Impulsive Nonlinear Fractional Differential Equations With Hybrid Boundary Value Conditions

The study of the impulsive fractional differential equations is gaining more and more attention.The equations have been found its extensive application in realistic mathematical models,which can depict the sudden processes.Motivated from some recent papers,we find out a formula of the general solution for the impulsive nonlinear fractional differential equations with hybrid boundary value conditions.Firstly,by analyzing the limit case on impulse,we obtained a formula of the general solution for the impulsive fractional system.Furthermore,we give the existence results by the fixed point theorems.An example are given to show its application.