Existence Of Solutions For Several Classes Of Boundary Value Problems Of Fractional Impulsive Differential Equations

In this paper,the existence of solutions for three classes of boundary value problems of fractional differential equations are obtained by using fixed point theory and critical point theory monotone iterative techniques.The whole dissertation is divided into four chapters as follows:In the first Chapter,the research background and significance of fractional calculus and impulsive differential equations are introduced.In addition,the research methods,main work of this article are illustrated.In the second Chapter,the existence and uniqueness of solutions for a class of anti periodic boundary value problems for fractional impulsive differential equations are studied.By using the fixed point theorem,the existence and uniqueness of the solution of the research problem are obtained under appropriate conditions,the research results obtained extend the existing research results.At the end of this chapter,some examples are given to illustrate the main results.In the third Chapter,the existence and uniqueness of solutions for a class of mixed boundary value problems for fractional impulsive differential equations are studied.Some sufficient conditions for the existence and uniqueness of solutions are obtained by using the fixed point theory.At the end of this chapter,two examples are given to verify the rationality of the conclusion.In the last Chapter,the existence of solutions for a class of fractional impulsive Dirichlet boundary value problems are studied.A sufficient condition for the existence of the solution of the boundary value problem is obtained by using the critical point theory.