Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Year 2023, , 753 - 767, 30.05.2023

Mohammad Shahriari , Hanif Mirzaei

https://doi.org/10.15672/hujms.1080599

Cited By: 2

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.

Keywords

Inverse second order differential problem, conformable fractional derivative, transmission conditions, Weyl function, asymptotic solutions

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