Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data
| dc.contributor.author | Kirane, Mokhtar | |
| dc.contributor.author | Samet, Bessem | |
| dc.contributor.author | Torebek, Berikbol T. | |
| dc.date.accessioned | 2022-08-08T20:52:19Z | |
| dc.date.available | 2022-08-08T20:52:19Z | |
| dc.date.issued | 2017-10-11 | |
| dc.description.abstract | We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kirane, M., Samet, B., & Torebek, B. T. (2017). Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data. Electronic Journal of Differential Equations, 2017(257), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16051 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | inverse problem | |
| dc.subject | involution | |
| dc.subject | nonlocal sub-diffusion equation | |
| dc.subject | fractional-time diffusion equation | |
| dc.title | Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data | |
| dc.type | Article |