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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 3

Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Mohammad Shahriari(University of Maragheh)0000-0002-8982-2451
Hanif Mirzaei(Sahand University of Technology)0000-0001-8905-9241
Pages
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Publication Date
2023-05-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the Hald's theorem for conformable Sturm-Liouville problem is developed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order $\alpha$, $0.5 < \alpha\leq 1$ and finite number of interior discontinuous conditions.
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Key Findings & Data:For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated.
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Conclusion & Impact:Finally, the Hald's theorem for conformable Sturm-Liouville problem is developed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Inverse second order differential problem · conformable fractional derivative · transmission conditions

Abstract

In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order $\alpha$, $0.5 < \alpha\leq 1$ and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Hald's theorem for conformable Sturm-Liouville problem is developed.

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Cite This Article

Shahriari, M., Mirzaei, H. (2023). Inverse Sturm-Liouville problem with conformable derivative and transmission conditions. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 3. https://doi.org/10.15672/hujms.1080599

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