Systems of Nonlinear Fractional Differential Equations with Deviating Arguments and Different Integral Boundary Conditions

摘要

In this paper, we study the existence of solutions for systems of nonlinear fractional differential equations with families of nonlocal coupled and strip integral boundary conditions. By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we obtain the sufficient conditions for the existence of extremal system of solutions. Finally, an example illustrating how the theory can be applied in practice is also included.