Existence and Uniqueness of Positive Solutions for Multi-point Fractional Differential Equation Boundary Value Problem

To study the exisence and uniqueness of stutions for the fractional differential equation boundary value problem. The existence and uniqueness of positive solutions for a class of multi-point fractional differential equation boundary value problem were obtained by means of fixed point theorem of a sum operator and the properties of Green function. An iterative scheme to approximate the solution was constructed and an estimation of the positive solution were also established. An application was given as an example.