Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On a System of Hadamard Fractional Differential Equations With Nonlocal Boundary Conditions on an Unbounded Domain

Version 1 : Received: 10 May 2023 / Approved: 11 May 2023 / Online: 11 May 2023 (08:29:25 CEST)

A peer-reviewed article of this Preprint also exists.

Luca, R.; Tudorache, A. On a System of Hadamard Fractional Differential Equations with Nonlocal Boundary Conditions on an Infinite Interval. Fractal Fract. 2023, 7, 458. Luca, R.; Tudorache, A. On a System of Hadamard Fractional Differential Equations with Nonlocal Boundary Conditions on an Infinite Interval. Fractal Fract. 2023, 7, 458.

Abstract

We study the existence of positive solutions for a system of Hadamard fractional differential equations on an infinite interval with nonnegative nonlinearities, subject to coupled nonlocal boundary conditions which contain Hadamard fractional derivatives and Riemann-Stieltjes integrals. In the proof of the main results, we use the Guo-Krasnosel'skii fixed point theorem and the Leggett-Williams fixed point theorem.

Keywords

Hadamard fractional differential equations; nonlocal boundary conditions; positive solutions

Subject

Computer Science and Mathematics, Analysis

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