On a Terminal Value Problem for a Generalization of the Fractional Diffusion Equation With Hyper-Bessel Operator
| dc.contributor.author | Le Nhat Huynh | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.contributor.author | Nguyen Huy Tuan | |
| dc.contributor.author | Huynh, Le Nhat | |
| dc.contributor.author | Tuan, Nguyen Huy | |
| dc.contributor.author | Can, Nguyen Huu | |
| dc.date.accessioned | 2021-01-28T12:22:01Z | |
| dc.date.accessioned | 2025-09-18T15:43:56Z | |
| dc.date.available | 2021-01-28T12:22:01Z | |
| dc.date.available | 2025-09-18T15:43:56Z | |
| dc.date.issued | 2020 | |
| dc.description | Nguyen, Huu-Can/0000-0001-6198-1015; Nguyen Huy, Tuan/0000-0002-6962-1898 | en_US |
| dc.description.abstract | In this paper, we consider an inverse problem of recovering the initial value for a generalization of time-fractional diffusion equation, where the time derivative is replaced by a regularized hyper-Bessel operator. First, we investigate the existence and regularity of our terminal value problem. Then we show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Tikhonov regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules. | en_US |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-20 19.09] | en_US |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development (NAFOSTED), Grant/Award Number: 101.02-20 19.09 | en_US |
| dc.description.sponsorship | This research was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02‐2019.09. | |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development; National Foundation for Science and Technology Development, NAFOSTED, (101.02‐2019.09) | |
| dc.identifier.citation | Tuan, Nguyen Huy...et al. (2020). "On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator", Mathematical Methods in the Applied Sciences, Vol. 43, No. 6, pp. 2858-2882. | en_US |
| dc.identifier.doi | 10.1002/mma.6087 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85076780710 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6087 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14066 | |
| 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 Tikhonov Regularization | en_US |
| dc.subject | Hyper-Bessel Operator | en_US |
| dc.subject | Time-Fractional Diffusion Equation | en_US |
| dc.title | On a Terminal Value Problem for a Generalization of the Fractional Diffusion Equation With Hyper-Bessel Operator | en_US |
| dc.title | On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Nguyen, Huu-Can/0000-0001-6198-1015 | |
| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
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| gdc.author.wosid | Le, Huynh/E-6128-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Nguyen, Huu-Can/R-4820-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Huy Tuan] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam; [Le Nhat Huynh] VNUHCM Univ Sci, Dept Math & Comp Sci, 227 Nguyen Van Cu St,Dist 5, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 2882 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2858 | en_US |
| gdc.description.volume | 43 | en_US |
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| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | hyper-Bessel operator | |
| gdc.oaire.keywords | Heat equation | |
| gdc.oaire.keywords | recovering of the initial value | |
| gdc.oaire.keywords | Nonlinear ill-posed problems | |
| gdc.oaire.keywords | Ill-posed problems for PDEs | |
| gdc.oaire.keywords | Initial value problems for second-order parabolic equations | |
| gdc.oaire.keywords | fractional Tikhonov regularization | |
| gdc.oaire.keywords | terminal value problem | |
| gdc.oaire.keywords | time-fractional diffusion equation | |
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