Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Authors : Mohammad SHAHRİARİ, Hanif MİRZAEİ

Pages : 753-767

Doi:10.15672/hujms.1080599

View : 133 | Download : 259

Publication Date : 2023-05-30

Article Type : Research Paper

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