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

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 co...

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Bibliographic Details
Published inFractal and fractional Vol. 7; no. 6; p. 458
Main Authors Luca, Rodica, Tudorache, Alexandru
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2023
Subjects
Boundary conditions
coupled nonlinear boundary conditions
Differential equations
Fixed points (mathematics)
Fractional calculus
Hadamard fractional differential equations
Iterative methods
Mathematical analysis
positive solutions
Theorems
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Summary: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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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7060458