TY - JOUR
ID - 707525
TI - Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Shahriari, Mohammad
AU - Akbari, Reza
AD - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.
AD - Department of Mathematical Sciences, Payame Noor University, Iran.
Y1 - 2023
PY - 2023
VL - 20
IS - 4
SP - 87
EP - 104
KW - Inverse Sturm-Liouville problem
KW - Conformable fractional derivative
KW - Internal discontinuities
KW - Parameter-dependent boundary conditions
DO - 10.22130/scma.2023.2000439.1297
N2 - In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional Sturm-Liouville operators of order $\alpha$ ($0 < \alpha\leq 1$), 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.
UR - https://scma.maragheh.ac.ir/article_707525.html
L1 - https://scma.maragheh.ac.ir/article_707525_aafd716f583bfc4cdc6dbb878dbb855a.pdf
ER -