| dc.creator | Atmania, Rahima | |
| dc.creator | Settara, Loubna | |
| dc.date | 2023-09-13 | |
| dc.date.accessioned | 2023-09-22T12:43:07Z | |
| dc.date.available | 2023-09-22T12:43:07Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4401 | |
| dc.identifier | 10.22199/issn.0717-6279-4401 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/234437 | |
| dc.description | In this paper, we investigate an inverse source problem involving a one-dimensional diffusion equation of a time-fractional RiemannLiouville derivative with 0 < α < 1. First, results on the existence and regularity of the weak solution of the direct problem are obtained. For the determination of the unknown time-dependent source term, we use a monotone and distinguishable input-output mapping defined by the additional over-determination integral data for the considered sub-diffusion problem. Finally, the uniqueness of the solution of the inverse problem is proved. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4401/4361 | |
| dc.rights | Copyright (c) 2023 Rahima Atmania, Loubna Settara | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 42 No. 5 (2023); 1105-1127 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 42 Núm. 5 (2023); 1105-1127 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2023-05 | |
| dc.subject | inverse source problem | en-US |
| dc.subject | time-fractional diffusion equation | en-US |
| dc.subject | Riemann-Liouville fractional derivative | en-US |
| dc.subject | input-output mapping | en-US |
| dc.subject | distinguishability | en-US |
| dc.subject | 35R30 | en-US |
| dc.subject | 35R11 | en-US |
| dc.subject | 35K05 | en-US |
| dc.subject | 35C10 | en-US |
| dc.subject | 35D30 | en-US |
| dc.title | An inverse source time-fractional diffusion problem via an input-output mapping | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | text | en-US |
