An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions
In this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The nonlocal boundary conditions are regular but...
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| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4495 |
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| author | Farid Mihoubi Brahim Nouiri |
| author_facet | Farid Mihoubi Brahim Nouiri |
| author_sort | Farid Mihoubi |
| collection | DOAJ |
| description | In this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The nonlocal boundary conditions are regular but not strongly regular. The special thing about this problem is: the system of eigenfunctions is not complete, but the system of eigen-and associated functions forming a basis in L2 (0,1) |
| format | Article |
| id | doaj-art-83d80dd7e63c44fe9c8f76da88997009 |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-83d80dd7e63c44fe9c8f76da889970092025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125287310.18514/MMN.2024.4495An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditionsFarid MihoubiBrahim NouiriIn this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The nonlocal boundary conditions are regular but not strongly regular. The special thing about this problem is: the system of eigenfunctions is not complete, but the system of eigen-and associated functions forming a basis in L2 (0,1)http://mat76.mat.uni-miskolc.hu/mnotes/article/4495 |
| spellingShingle | Farid Mihoubi Brahim Nouiri An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions Miskolc Mathematical Notes |
| title | An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions |
| title_full | An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions |
| title_fullStr | An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions |
| title_full_unstemmed | An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions |
| title_short | An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions |
| title_sort | inverse time dependent source problem for a time fractional diffusion equation with nonlocal boundary conditions |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4495 |
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