On a System of Hadamard Fractional Differential Equations with Nonlocal Boundary Conditions on an Infinite Interval

Autor: Rodica Luca, Alexandru Tudorache
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 7, Iss 6, p 458 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract7060458
Popis: Our research focuses on investigating the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations. These equations are defined on an infinite interval and involve non-negative nonlinear terms. Additionally, they are subject to nonlocal coupled boundary conditions, incorporating Riemann–Stieltjes integrals and Hadamard fractional derivatives. To establish the main theorems, we employ the Guo–Krasnosel’skii fixed point theorem and the Leggett–Williams fixed point theorem.
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