Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem

This paper is concerned with the existence and uniqueness of positive solutions for boundary value problem of nonlinear fractional differential equations.By using new fixed point theorem for mixed monotone operator with perturbation, the existence and uniqueness of its positive solution is proved, and an iterative scheme is constructed to approximate it. Finally, the example is given to illustrate the application of the main result.