Several Boundary Value Problems Of Fractional Differential Equations

This dissertation is concerned with the existence and uniqueness of solutions for boundary value problems of fractional differential equations by fixed point theorems. The full text is divided into four chapters.First, the research status, background and basic definitions of boundary value prob-lems of fractional differential equations are reviewed. Further more, the main results of this dissertation are summarized.In the second chapter, by using the contraction mapping principle, the existence of solutions for fractional differential equations with fractional boundary conditions is investigated.In Chapter3, based on the Krasnosel’skii fixed point theorem, the existence of so-lutions for fractional differential equations with anti-periodic integral boundary conditions is obtained.Finally, by using the Banach fixed point theorem, Krasnosel’skii fixed point theorem and Schauder fixed point theorem, the existence of solutions for fractional differential equations with three-point integral boundary conditions is established.