Determination of Source Term for the Fractional Rayleigh-Stokes Equation With Random Data
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Nguyen-H Can | |
| dc.contributor.author | Tran Thanh Binh | |
| dc.date.accessioned | 2021-02-10T11:57:58Z | |
| dc.date.accessioned | 2025-09-18T12:08:42Z | |
| dc.date.available | 2021-02-10T11:57:58Z | |
| dc.date.available | 2025-09-18T12:08:42Z | |
| dc.date.issued | 2019 | |
| dc.description | Nguyen, Huu-Can/0000-0001-6198-1015 | en_US |
| dc.description.abstract | In this article, we consider the problem of finding a source term of a Rayleigh-Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the given data. Using the truncation method and some new techniques on trigonometric estimators, we give the regularized solution. Moreover, the mean square error and convergence rates are established. | en_US |
| dc.identifier.citation | Binh, Tran Thanh...et al. (2019). "Determination of source term for the fractional Rayleigh-Stokes equation with random data", Journal of Inequalities and Applications, Vol. 2019, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13660-019-2262-9 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85076170765 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-019-2262-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11189 | |
| 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 | Rayleigh-Stokes Problem | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Ill-Posed Problem | en_US |
| dc.subject | Random Data | en_US |
| dc.title | Determination of Source Term for the Fractional Rayleigh-Stokes Equation With Random Data | en_US |
| dc.title | Determination of source term for the fractional Rayleigh-Stokes equation with random data | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nguyen, Huu-Can/0000-0001-6198-1015 | |
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| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Huu-Can/R-4820-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Tran Thanh Binh] Thu Dau Mot Univ, Fac Nat Sci, Thu Dau Mot City, 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; [Nguyen Hoang Luc] Duy Tan Univ, Inst Fundamental & Appl Sci, Ho Chi Minh City, Vietnam; [Nguyen-H Can] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, 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 | 2019 | en_US |
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| gdc.oaire.keywords | Truncation (statistics) | |
| gdc.oaire.keywords | Finite element method | |
| gdc.oaire.keywords | Inverse Problems in Mathematical Physics and Imaging | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Estimator | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.keywords | Hadamard transform | |
| gdc.oaire.keywords | Economic growth | |
| gdc.oaire.keywords | Rayleigh–Stokes problem | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Applied Mathematics | |
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| gdc.oaire.keywords | Fractional derivative | |
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| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
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| gdc.oaire.keywords | Stokes problem | |
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| gdc.oaire.keywords | Convergence (economics) | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | Trigonometry | |
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| gdc.oaire.keywords | Rayleigh-Stokes problem | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | Heat equation | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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