Unique identification of fractional orders in the fractional mobile–immobile solute transport system
This article deals with a fractional mobile–immobile solute transport system in porous media and an inverse problem of identifying the fractional orders by the additional measurements at one interior point. The unique existence of a solution to the forward problem is obtained based on the inverse La...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2023.2243375 |
| _version_ | 1797641028735336448 |
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| author | Gongsheng Li Wenyi Liu Xianzheng Jia Zhiyuan Li |
| author_facet | Gongsheng Li Wenyi Liu Xianzheng Jia Zhiyuan Li |
| author_sort | Gongsheng Li |
| collection | DOAJ |
| description | This article deals with a fractional mobile–immobile solute transport system in porous media and an inverse problem of identifying the fractional orders by the additional measurements at one interior point. The unique existence of a solution to the forward problem is obtained based on the inverse Laplace transform, and the uniqueness of the inverse problem is proved in the real space of Laplace transform by the maximum principle. Numerical inversions with noisy data are presented to support the uniqueness result of the inverse problem. |
| first_indexed | 2024-03-11T13:39:42Z |
| format | Article |
| id | doaj.art-b7c6e5fbc181496c8715029365496412 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:42Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-b7c6e5fbc181496c87150293654964122023-11-02T13:48:32ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2023.22433752243375Unique identification of fractional orders in the fractional mobile–immobile solute transport systemGongsheng Li0Wenyi Liu1Xianzheng Jia2Zhiyuan Li3Shandong University of TechnologyShandong University of TechnologyShandong University of TechnologyNingbo UniversityThis article deals with a fractional mobile–immobile solute transport system in porous media and an inverse problem of identifying the fractional orders by the additional measurements at one interior point. The unique existence of a solution to the forward problem is obtained based on the inverse Laplace transform, and the uniqueness of the inverse problem is proved in the real space of Laplace transform by the maximum principle. Numerical inversions with noisy data are presented to support the uniqueness result of the inverse problem.http://dx.doi.org/10.1080/27690911.2023.2243375fractional solute transport systemlaplace transforminverse problemuniquenessnumerical inversion |
| spellingShingle | Gongsheng Li Wenyi Liu Xianzheng Jia Zhiyuan Li Unique identification of fractional orders in the fractional mobile–immobile solute transport system Applied Mathematics in Science and Engineering fractional solute transport system laplace transform inverse problem uniqueness numerical inversion |
| title | Unique identification of fractional orders in the fractional mobile–immobile solute transport system |
| title_full | Unique identification of fractional orders in the fractional mobile–immobile solute transport system |
| title_fullStr | Unique identification of fractional orders in the fractional mobile–immobile solute transport system |
| title_full_unstemmed | Unique identification of fractional orders in the fractional mobile–immobile solute transport system |
| title_short | Unique identification of fractional orders in the fractional mobile–immobile solute transport system |
| title_sort | unique identification of fractional orders in the fractional mobile immobile solute transport system |
| topic | fractional solute transport system laplace transform inverse problem uniqueness numerical inversion |
| url | http://dx.doi.org/10.1080/27690911.2023.2243375 |
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