Positive Solutions for a System of Fractional Boundary Value Problems with r-Laplacian Operators, Uncoupled Nonlocal Conditions and Positive Parameters

In this paper, we investigate the existence and nonexistence of positive solutions for a system Riemann–Liouville fractional differential equations with r-Laplacian operators, subject to nonlocal uncoupled boundary conditions that contain Riemann–Stieltjes integrals, various derivatives parameters. We first change unknown functions such new have no parameters, then, by using corresponding Green functions, equivalently write problem as nonlinear integral equations. By constructing an appropriate operator A, are fixed points A. Following some assumptions regarding nonlinearities system, show (by applying Schauder fixed-point theorem) A has at least one point, which is solution our problem, when parameters belong intervals. Then, present intervals solution.