Reconstructing the Right-Hand Side of a Fractional Subdiffusion Equation From the Final Data
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Long, Le Dinh | |
| dc.contributor.author | Can, Nguyen-Huu | |
| dc.contributor.author | Luc, Nguyen Hoang | |
| dc.date.accessioned | 2021-02-02T11:39:55Z | |
| dc.date.accessioned | 2025-09-18T12:10:11Z | |
| dc.date.available | 2021-02-02T11:39:55Z | |
| dc.date.available | 2025-09-18T12:10:11Z | |
| 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 study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t=Tare given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under a priori and a posteriori parameter choice rules are proved. | en_US |
| dc.identifier.citation | Luc, Nguyen Hoang...et al. (2020). "Reconstructing the right-hand side of a fractional subdiffusion equation from the final data", Journal of Inequalities and Applications, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13660-020-02319-7 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85080072694 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-020-02319-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11645 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Time-Fractional Diffusion Equation | en_US |
| dc.subject | Truncation Method | en_US |
| dc.subject | Inverse Source Problem | en_US |
| dc.title | Reconstructing the Right-Hand Side of a Fractional Subdiffusion Equation From the Final Data | en_US |
| dc.title | Reconstructing the right-hand side of a fractional subdiffusion equation from the final data | 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 | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
| gdc.author.wosid | Nguyen, Huu-Can/R-4820-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Luc, Nguyen Hoang] 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; [Long, Le Dinh] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Long, Le Dinh] Vietnam Natl Univ, Ho Chi Minh City, Vietnam; [Can, Nguyen-Huu] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Truncation (statistics) | |
| gdc.oaire.keywords | Inverse Problems in Mathematical Physics and Imaging | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
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| gdc.oaire.keywords | Algorithm | |
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| gdc.oaire.keywords | truncation method | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | inverse source problem | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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