Regularization of a Terminal Value Problem for Time Fractional Diffusion Equation
| dc.contributor.author | Vo Van Au | |
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Huy Tuan | |
| dc.contributor.author | Nguyen Anh Triet | |
| dc.date.accessioned | 2021-01-28T12:22:14Z | |
| dc.date.accessioned | 2025-09-18T15:44:05Z | |
| dc.date.available | 2021-01-28T12:22:14Z | |
| dc.date.available | 2025-09-18T15:44:05Z | |
| dc.date.issued | 2020 | |
| dc.description | Le Dinh, Long/0000-0001-8805-4588; Au, Vo Van/0000-0002-7744-0827; Nguyen Huy, Tuan/0000-0002-6962-1898 | en_US |
| dc.description.abstract | In this article, we study an inverse problem with inhomogeneous source to determine an initial data from the time fractional diffusion equation. In general, this problem is ill-posed in the sense of Hadamard, so the quasi-boundary value method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them. Finally, two numerical results in the one-dimensional and two-dimensional case show the evidence of the used regularization method. | en_US |
| dc.identifier.citation | Triet, Nguyen Anh...et al. (2020). "Regularization of a terminal value problem for time fractional diffusion equation", Mathematical Methods in the Applied Sciences, Vol. 43, No. 6, pp. 3850-3878. | en_US |
| dc.identifier.doi | 10.1002/mma.6159 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6159 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14145 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Diffusion Equation | en_US |
| dc.subject | Inverse Problem | en_US |
| dc.subject | Regularization | en_US |
| dc.subject | Riemann-Lioville Fractional Derivative | en_US |
| dc.title | Regularization of a Terminal Value Problem for Time Fractional Diffusion Equation | en_US |
| dc.title | Regularization of a terminal value problem for time fractional diffusion equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Le Dinh, Long/0000-0001-8805-4588 | |
| gdc.author.id | Au, Vo Van/0000-0002-7744-0827 | |
| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
| gdc.author.wosid | Long, Le/Gsd-8876-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Au, Vo Van/Aad-5554-2020 | |
| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Anh Triet] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam; [Vo Van Au] Thu Dau Mot Univ, Fac Nat Sci, Thu Dau Mot, Binh Duong Prov, Vietnam; [Le Dinh Long] Univ Sci VNU HCM, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Inst Space Sci, TR-06530 Ankara, Turkey; [Nguyen Huy Tuan] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 3878 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 3850 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | regularization | |
| gdc.oaire.keywords | recovery of initial value | |
| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order parabolic equations | |
| gdc.oaire.keywords | Ill-posed problems for PDEs | |
| gdc.oaire.keywords | quasi-boundary value method | |
| gdc.oaire.keywords | Riemann-Lioville fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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