Two Class Of Fractional Boundary Value Problems With Integral And Anti-periodic Boundary Conditions

In this thesis, we consider the boundary value problems of fractional differential equa-tions with integral and anti-periodic boundary conditions, the existence of the solution is studied under some conditions. We also study the existence of the solutions not only with integral and anti-periodic but with P—Laplacian operator.In chapter 1, the main task of this chapter is to study the boundary value problems of 2< q< 3 fractional differential equations with integral and anti-periodic, by applying the contraction mapping principle, Krasnosel’skii fixed point theorem and Leray-Schauder degree theory, we obtain some results of existence and uniqueness of the solution.In chapter 2, in this chapter, we study the solutions of the boundary value problems not only with integral and anti-periodic but with P—Laplacian operator.