Existence Of Solutions For Fractional Order Impulsive Differential Equations Boundary Value Problem

Fractional order differential equation is widely used in practice,which promotes the rapid development of the theory of fractional order differential equation.With the impulsive phenomenon occurring in many real situations,fractional order impulsive differential equation become an important branch.The boundary value problem of fractional order impulsive differential equation can simulate many physical phenomena more accurately,and it also develops rapidly.This thesis mainly discusses the boundary value problems of two kinds of fractional order impulsive differential equations with Caputo derivatives.In the second chapter,we mainly give the existence of solutions for impulsive boundary value problems with Caputo fractional derivative of order ??(1,2) by use the method of coincidence degree theory.In the third chapter,we study the boundary value problem of a class of impulsive differential equations of fractional order coupled systems.We use different fixed point theorems to get the conclusions.At the end of section,we give examples to verify the main conclusions.