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...

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Published inFractal and fractional Vol. 9; no. 6; p. 378
Main Authors Tudorache, Alexandru, Luca, Rodica
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2025
Subjects
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
existence of solutions
Fractional calculus
Hadamard fractional differential equation
integral boundary conditions
Integrals
resonant problem
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract9060378