On a System of Riemann–Liouville Fractional Boundary Value Problems with <i>ϱ</i>-Laplacian Operators and Positive Parameters

Abstract

In this paper, we study the existence and nonexistence of positive solutions of a system of Riemann–Liouville fractional differential equations with ϱ-Laplacian operators, supplemented with coupled nonlocal boundary conditions containing Riemann–Stieltjes integrals, fractional derivatives of various orders, and positive parameters. We apply the Schauder fixed point theorem in the proof of the existence result.

Keywords

• Riemann–Liouville fractional differential equations
• nonlocal coupled boundary conditions
• positive solutions
• existence
• nonexistence
• positive parameters