Inverse Source Problem for Time Fractional Diffusion Equation With Mittag-Leffler Kernel
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zhou, Yong | |
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.date.accessioned | 2021-01-19T12:33:47Z | |
| dc.date.accessioned | 2025-09-18T15:44:01Z | |
| dc.date.available | 2021-01-19T12:33:47Z | |
| dc.date.available | 2025-09-18T15:44:01Z | |
| dc.date.issued | 2020 | |
| dc.description | Le Dinh, Long/0000-0001-8805-4588; Nguyen, Huu-Can/0000-0001-6198-1015 | en_US |
| dc.description.abstract | In this work, we study the problem to identify an unknown source term for the Atangana-Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard. We have applied the generalized Tikhonov method to regularize the instable solution of the problem. In the theoretical result, we show the error estimate between the regularized and exact solutions with a priori parameter choice rules. We present a numerical example to illustrate the theoretical result. According to this example, we show that the proposed regularization method is converged. | en_US |
| dc.identifier.citation | Can, Nguyen Huu...et al. (2020). "Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel", Advances in Difference Equations, Vol. 2020, No.1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02657-2 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85084684522 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02657-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14120 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Ill-Posed Problem | en_US |
| dc.subject | Time Fractional Diffusion Equation | en_US |
| dc.subject | Convergence Estimates | en_US |
| dc.subject | Regularization Method | en_US |
| dc.title | Inverse Source Problem for Time Fractional Diffusion Equation With Mittag-Leffler Kernel | en_US |
| dc.title | Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Le Dinh, Long/0000-0001-8805-4588 | |
| gdc.author.id | Nguyen, Huu-Can/0000-0001-6198-1015 | |
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| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Huu-Can/R-4820-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam; [Nguyen Hoang Luc] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Zhou, Yong] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China; [Zhou, Yong] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Hunan, Peoples R China; [Le Dinh Long] Thu Dau Mot Univ, Fac Nat Sci, Thu Dau Mot City, Vietnam | en_US |
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