The Initial Value And Boundary Value Problems For Fractional Differential Equations

Fractional differential equations have caused considerable attention due to their application in various science,such as physics,mechanics,chemistry, en-gineering, etc.In recent years,there has been a significant development in the theory of fractional differential equations,many papers appeared which presented the current status of the subject.In this paper,we firstly introduce the background of research,the main results and some preliminary knowledge. In Chapter 2,we discuss the Cauchy problem for a class of fractional differential equations involving Riemann-Liouville derivatives;In Chapter 3,we discuss the boundary value problem for a class of nonlinear fractional differential equations, by using the fixed point theorems,the existence of solutions for fractional differential equations are obtained.