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Dergiler / 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
Sayfa
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Yayın Tarihi
2023-05-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated.
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Sonuç & Katkı:Finally, the Hald's theorem for conformable Sturm-Liouville problem is developed.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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