Monotone Iterative Method for Fractional Differential Equations with Integral Boundary Conditions

In this paper, the existence of extremal solutions for fractional differential equations with integral boundary conditions is obtained by using the monotone iteration technique and the method of upper and lower solutions. The main equations studied are as follows: where is the standard Riemann–Liouville fractional derivative of order and is a positive measure function. Moreover, an example is given to illustrate the main results