Monotone Iterative Method for a Nonlinear Fractional Conformable P-Laplacian Differential System

Abstract

In this paper, we study the extremal solutions of nonlinear fractional p-Laplacian differential system with the fractional conformable derivative by applying monotone iterative method and a half-pair of upper and lower solutions. For the smooth running of our work, we develop a comparison principle about linear system, which play a very crucial role in this article. At last, an illustrative example is given for the main result.