BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite sequences of eigenvalues and eigenfunctions....
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| Format: | Article |
| Language: | English |
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KamGU by Vitus Bering
2015-12-01
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| Series: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
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| Online Access: | http://krasec.ru/wp-content/uploads/2016/07/Eneeva-L.M..pdf |
| _version_ | 1828382834146934784 |
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| author | L.M. Eneeva |
| author_facet | L.M. Eneeva |
| author_sort | L.M. Eneeva |
| collection | DOAJ |
| description | We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite sequences of eigenvalues and eigenfunctions. All of the eigenvalues are real and positive, and the eigenfunctions form an orthogonal basis in L2(0;1). |
| first_indexed | 2024-12-10T04:38:24Z |
| format | Article |
| id | doaj.art-44a85b3ec0344fdc863b71b7090171b4 |
| institution | Directory Open Access Journal |
| issn | 2079-6641 2079-665X |
| language | English |
| last_indexed | 2024-12-10T04:38:24Z |
| publishDate | 2015-12-01 |
| publisher | KamGU by Vitus Bering |
| record_format | Article |
| series | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-44a85b3ec0344fdc863b71b7090171b42022-12-22T02:01:56ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2015-12-012(11)394410.18454/2079-6641-2015-11-2-39-44BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINSL.M. Eneeva0Institute of Applied Mathematics and Automation, 360000, Republic of Kabardino- Balkariya, Nalchik, st. Shortanova, 89aWe study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite sequences of eigenvalues and eigenfunctions. All of the eigenvalues are real and positive, and the eigenfunctions form an orthogonal basis in L2(0;1).http://krasec.ru/wp-content/uploads/2016/07/Eneeva-L.M..pdffractional derivativeboundary value problemeigenvalueeigenfunction |
| spellingShingle | L.M. Eneeva BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS Vestnik KRAUNC: Fiziko-Matematičeskie Nauki fractional derivative boundary value problem eigenvalue eigenfunction |
| title | BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS |
| title_full | BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS |
| title_fullStr | BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS |
| title_full_unstemmed | BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS |
| title_short | BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS |
| title_sort | boundary value problem for differential equation with fractional order derivatives with different origins |
| topic | fractional derivative boundary value problem eigenvalue eigenfunction |
| url | http://krasec.ru/wp-content/uploads/2016/07/Eneeva-L.M..pdf |
| work_keys_str_mv | AT lmeneeva boundaryvalueproblemfordifferentialequationwithfractionalorderderivativeswithdifferentorigins |