Existence of Solutions for a Hadamard Fractional Boundary Value Problem at Resonance

We explore the existence of solutions for a Hadamard fractional differential equation, subject to nonlocal boundary conditions, which contain Hadamard fractional derivatives and Riemann–Stieltjes integrals. This problem is a resonant one in the sense that the corresponding homogeneous boundary-value...

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Published inFractal and fractional Vol. 9; no. 2; p. 119
Main Authors Luca, Rodica, Tudorache, Alexandru
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2025
Subjects
Boundary conditions
Boundary value problems
Calculus
Differential equations
existence
Fractional calculus
Hadamard fractional differential equation
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Integrals
nonlocal boundary conditions
resonant problem
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Summary:We explore the existence of solutions for a Hadamard fractional differential equation, subject to nonlocal boundary conditions, which contain Hadamard fractional derivatives and Riemann–Stieltjes integrals. This problem is a resonant one in the sense that the corresponding homogeneous boundary-value problem has nontrivial solutions. In the proof of the main result, we use the Mawhin continuation theorem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract9020119