Existence of Positive Solutions for a Coupled System of <i>p</i>-Laplacian Semipositone Hadmard Fractional BVP

Abstract

The existence of a positive solution to a system of nonlinear semipositone Hadamard fractional BVP with the p-Laplacian operator is examined in this research. The boundary value problem’s associated Green’s function and some of its properties are first obtained. Additionally, the existence results are established using the nonlinear alternative of the Leray–Schauder theorem and the Guo–Krasnosel’skii fixed-point theorem.

Keywords

• semipositone
• BVP
• Green’s function
• cone
• Banach space