Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/915830 |
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doaj-7501b3c03e3d4c089916b6b98f874921 |
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Article |
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doaj-7501b3c03e3d4c089916b6b98f8749212020-11-24T23:21:13ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/915830915830Fundamental Spectral Theory of Fractional Singular Sturm-Liouville OperatorErdal Bas0Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, TurkeyWe give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic.http://dx.doi.org/10.1155/2013/915830 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Erdal Bas |
| spellingShingle |
Erdal Bas Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator Journal of Function Spaces and Applications |
| author_facet |
Erdal Bas |
| author_sort |
Erdal Bas |
| title |
Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator |
| title_short |
Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator |
| title_full |
Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator |
| title_fullStr |
Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator |
| title_full_unstemmed |
Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator |
| title_sort |
fundamental spectral theory of fractional singular sturm-liouville operator |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 1758-4965 |
| publishDate |
2013-01-01 |
| description |
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic. |
| url |
http://dx.doi.org/10.1155/2013/915830 |
| work_keys_str_mv |
AT erdalbas fundamentalspectraltheoryoffractionalsingularsturmliouvilleoperator |
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1725572221845372928 |