Existence of Positive Solutions for Coupled Fractional Differential System With Improper Integral Boundary Conditions on the Half-Line

This article is devoted to proving the existence of positive solutions for a class of coupled fractional boundary value problems involving an improper integral and the infinite-point on the half-line. By making use of the monotone iterative technique along with Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the problem are constructed, an error estimate formula of the positive solution is also given. In the end, a numerical simulation is given to illustrate the main results.