The Existence of Positive Solutions to a Class of Caputo Fractional Differential Equation Boundary Value Problem

By using Krasnoselskii fixed point theorem of sum operators and the properties of the Green function,a class of Caputo fractional differential equation boundary value problem was studied.First,by defining a function space with a compact operator and a contraction map on the space,the existence of fixed points for the operator equation wasobtained.Further,the existence of positive solutions to the Caputo fractional differential equation boundary value problem was established.