Title of article :
Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions
Author/Authors :
Shahriari ، Mohammad Department of Mathematics - Faculty of Science - University of Maragheh , Akbari ، Reza Department of Mathematical Sciences - Payame Noor University
Abstract :
In this paper, we provide a different uniqueness re-sults for inverse spectral problems of conformable fractional Sturm-Liouville operators of order α (0 α ≤ 1), with a jump and eigen-parameter dependent boundary conditions. Further, we study the asymptotic form of solutions, eigenvalues and the corresponding eigenfunctions of the problem. Also, we consider three terms of the inverse problem, from the Weyl function, the spectral data and two spectra. Moreover, we can also extend Hald’s theorem to the problem.
Keywords :
Inverse Sturm , Liouville problem , Conformable fractional derivative , Internal discontinuities , Parameter , dependent boundary conditions
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis