Conformable fractional Dirac system on time scales
Abstract We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale T $\mathbb{T}$ . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1434-8 |
| _version_ | 1818526786054520832 |
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| author | Tuba Gulsen Emrah Yilmaz Sertac Goktas |
| author_facet | Tuba Gulsen Emrah Yilmaz Sertac Goktas |
| author_sort | Tuba Gulsen |
| collection | DOAJ |
| description | Abstract We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale T $\mathbb{T}$ . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the CF Dirac eigenvalue problem are obtained on T $\mathbb{T} $ . So, we provide a constructive procedure for the solution of this problem. These results are important steps to consolidate the link between fractional calculus and time scale calculus in spectral theory. |
| first_indexed | 2024-12-11T06:27:43Z |
| format | Article |
| id | doaj.art-60521f8d2e214c558cac9326d4239657 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T06:27:43Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-60521f8d2e214c558cac9326d42396572022-12-22T01:17:37ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-07-012017111010.1186/s13660-017-1434-8Conformable fractional Dirac system on time scalesTuba Gulsen0Emrah Yilmaz1Sertac Goktas2Department of Mathematics, Faculty of Science, Firat UniversityDepartment of Mathematics, Faculty of Science, Firat UniversityDepartment of Mathematics, Faculty of Science and Letters, Mersin UniversityAbstract We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale T $\mathbb{T}$ . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the CF Dirac eigenvalue problem are obtained on T $\mathbb{T} $ . So, we provide a constructive procedure for the solution of this problem. These results are important steps to consolidate the link between fractional calculus and time scale calculus in spectral theory.http://link.springer.com/article/10.1186/s13660-017-1434-8time scaleconformable fractional derivativeDirac system |
| spellingShingle | Tuba Gulsen Emrah Yilmaz Sertac Goktas Conformable fractional Dirac system on time scales Journal of Inequalities and Applications time scale conformable fractional derivative Dirac system |
| title | Conformable fractional Dirac system on time scales |
| title_full | Conformable fractional Dirac system on time scales |
| title_fullStr | Conformable fractional Dirac system on time scales |
| title_full_unstemmed | Conformable fractional Dirac system on time scales |
| title_short | Conformable fractional Dirac system on time scales |
| title_sort | conformable fractional dirac system on time scales |
| topic | time scale conformable fractional derivative Dirac system |
| url | http://link.springer.com/article/10.1186/s13660-017-1434-8 |
| work_keys_str_mv | AT tubagulsen conformablefractionaldiracsystemontimescales AT emrahyilmaz conformablefractionaldiracsystemontimescales AT sertacgoktas conformablefractionaldiracsystemontimescales |