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.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| 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.publishedMonth | 4 | |
| 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.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.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 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 17347203900 | |
| gdc.author.scopusid | 57204918973 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57216298181 | |
| 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 | |
| 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 |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2858 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2995001987 | |
| gdc.identifier.wos | WOS:000502567200001 | |
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| gdc.openalex.normalizedpercentile | 0.92 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 30 | |
| gdc.plumx.crossrefcites | 26 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 33 | |
| gdc.scopus.citedcount | 33 | |
| gdc.wos.citedcount | 31 | |
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