Monotone iterative method for systems of nonlinear conformable fractional differential equations

Abstract

In this work, we present the existence of extremal solutions for nonlinear conformable fractional differential equation involving integral boundary condition, and for a coupled system of nonlinear first order ordinary differential equations with initial conditions. Also, we present existence of extremal solutions for a coupled system of nonlinear conformable fractional differential equations with initial conditions. Existence results for these problems are obtained by using the monotone iterative technique combined with the method of upper and lower solutions