A Hadamard Fractional Boundary Value Problem on an Infinite Interval at Resonance

This paper addresses the existence of solutions to a Hadamard fractional differential equation of arbitrary order on an infinite interval, subject to integral boundary conditions that incorporate both Riemann–Stieltjes integrals and Hadamard fractional derivatives. Due to the presence of nontrivial solutions in the associated homogeneous boundary value problem, the problem is classified as resonant. The Mawhin continuation theorem is utilized to derive the main findings.

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Publication Details

Journal
Fractal and Fractional
Published
2025-06-13
DOI
https://doi.org/10.3390/fractalfract9060378
Citations
3
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
11.18
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article

A Hadamard Fractional Boundary Value Problem on an Infinite Interval at Resonance

Alexandru Tudorache, Rodica Luca
3 citations
Fractal and Fractional
Nonlinear Differential Equations Analysis
11.18
article

A Hadamard Fractional Boundary Value Problem on an Infinite Interval at Resonance

Alexandru Tudorache, Rodica Luca
article en
3 citations

Abstract

This paper addresses the existence of solutions to a Hadamard fractional differential equation of arbitrary order on an infinite interval, subject to integral boundary conditions that incorporate both Riemann–Stieltjes integrals and Hadamard fractional derivatives. Due to the presence of nontrivial solutions in the associated homogeneous boundary value problem, the problem is classified as resonant. The Mawhin continuation theorem is utilized to derive the main findings.

Fractal and FractionalVol. 9(6)
Gheorghe Asachi Technical University of Iași (RO)
Openalex Percentile: Top 2%
Nonlinear Differential Equations Analysis
11.18
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