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Mohammad Shahriari

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
Inverse Sturm-Liouville problem with conformable derivative and transmission conditions
Type
JournalPaper
Keywords
Inverse second order differential problem, conformable fractional derivative, transmission conditions, Weyl function, asymptotic solutions
Year
2023
Journal Hacettepe Journal of Mathematics and Statistics
DOI
Researchers Mohammad Shahriari ، Hanif Mirzaei

Abstract

In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order α, 0.5 < α ≤ 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.