Journal
FRACTAL AND FRACTIONAL
Volume 7, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/fractalfract7070499
Keywords
semipositone; BVP; Green's function; cone; Banach space
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This research examines the existence of a positive solution to a system of nonlinear semipositone Hadamard fractional BVP with the p-Laplacian operator. The associated Green's function of the boundary value problem and some of its properties are first obtained. Then, the existence results are established using the nonlinear alternative of the Leray-Schauder theorem and the Guo-Krasnosel'skii fixed-point theorem.
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.
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