Positive solutions for a system of fractional differential equations with p-Laplacian operator and multi-point boundary conditions

Abstract

We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain fractional derivatives. The proof of our main existence results is based on the Guo–Krasnosel'skii fixed-point theorem.

Keywords

• Riemann–Liouville fractional differential equations
• p-Laplacian operator
• multi-point boundary conditions
• positive solutions
• existence
• nonexistence