Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions
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,...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_707525_aafd716f583bfc4cdc6dbb878dbb855a.pdf |
| _version_ | 1797666593927331840 |
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| author | Mohammad Shahriari Reza Akbari |
| author_facet | Mohammad Shahriari Reza Akbari |
| author_sort | Mohammad Shahriari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T20:00:39Z |
| format | Article |
| id | doaj.art-a046aff24cc3478ea1db2ca6b4f211c7 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-11T20:00:39Z |
| publishDate | 2023-09-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-a046aff24cc3478ea1db2ca6b4f211c72023-10-04T08:29:38ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-09-012048710410.22130/scma.2023.2000439.1297707525Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary ConditionsMohammad Shahriari0Reza Akbari1Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.Department of Mathematical Sciences, Payame Noor University, Iran.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.https://scma.maragheh.ac.ir/article_707525_aafd716f583bfc4cdc6dbb878dbb855a.pdfinverse sturm-liouville problemconformable fractional derivativeinternal discontinuitiesparameter-dependent boundary conditions |
| spellingShingle | Mohammad Shahriari Reza Akbari Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions Sahand Communications in Mathematical Analysis inverse sturm-liouville problem conformable fractional derivative internal discontinuities parameter-dependent boundary conditions |
| title | Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions |
| title_full | Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions |
| title_fullStr | Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions |
| title_full_unstemmed | Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions |
| title_short | Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions |
| title_sort | inverse conformable sturm liouville problems with a transmission and eigen parameter dependent boundary conditions |
| topic | inverse sturm-liouville problem conformable fractional derivative internal discontinuities parameter-dependent boundary conditions |
| url | https://scma.maragheh.ac.ir/article_707525_aafd716f583bfc4cdc6dbb878dbb855a.pdf |
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