Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions

In this paper, the fractional comparison result of order α∈(1,2)α∈(1,2) is established. By using the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear fractional differential equation with three-point nonlinear boundary conditions. As an application, an example is presented to illustrate the main results.