Identifying the Space Source Term Problem for Time-Space Diffusion Equation
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Sakthivel, Rathinasamy | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Can, N. H. | |
| dc.date.accessioned | 2025-05-13T11:04:42Z | |
| dc.date.available | 2025-05-13T11:04:42Z | |
| dc.date.issued | 2020 | |
| dc.description | Rathinasamy, Sakthivel/0000-0002-5528-2709 | en_US |
| dc.description.abstract | In this paper, we consider an inverse source problem for the time-space-fractional diffusion equation. Here, in the sense of Hadamard, we prove that the problem is severely ill-posed. By applying the quasi-reversibility regularization method, we propose by this method to solve the problem (1.1). After that, we give an error estimate between the sought solution and regularized solution under a prior parameter choice rule and a posterior parameter choice rule, respectively. Finally, we present a numerical example to find that the proposed method works well. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02998-y | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85092157875 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02998-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9702 | |
| 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 | Inverse Source Problem | en_US |
| dc.subject | Time-Space-Fractional Diffusion Equation | en_US |
| dc.subject | Ill-Posed Problem | en_US |
| dc.subject | Convergence Estimates | en_US |
| dc.subject | Regularization Method | en_US |
| dc.subject | 35K05 | en_US |
| dc.subject | 35K99 | en_US |
| dc.subject | 47J06 | en_US |
| dc.subject | 47H10X | en_US |
| dc.title | Identifying the Space Source Term Problem for Time-Space Diffusion Equation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Rathinasamy, Sakthivel/0000-0002-5528-2709 | |
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| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Nguyen, Can/R-4820-2018 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.wosid | Nguyen, Sa/C-4845-2019 | |
| gdc.author.wosid | Rathinasamy, Sakthivel/Aad-6066-2019 | |
| gdc.author.wosid | Rathinasamy, Sakthivel/R-1832-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India; [Sakthivel, Rathinasamy] Bharathiar Univ, Dept Appl Math, Coimbatore, Tamil Nadu, India; [Nguyen Hoang Luc] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam; [Can, N. H.] 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.description.volume | 2020 | en_US |
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