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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
dspace.entity.type Publication
gdc.author.id Nguyen, Huu-Can/0000-0001-6198-1015
gdc.author.scopusid 57196807097
gdc.author.scopusid 7005872966
gdc.author.scopusid 57207580205
gdc.author.scopusid 57216298181
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
gdc.author.yokid 56389
gdc.bip.impulseclass C5
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gdc.bip.popularityclass C4
gdc.coar.access open access
gdc.coar.type text::journal::journal article
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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
gdc.description.scopusquality Q2
gdc.description.volume 2019 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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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
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Term (time)
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
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
gdc.oaire.keywords Physics
gdc.oaire.keywords Statistics
gdc.oaire.keywords Fractional derivative
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Nonlocal Partial Differential Equations and Boundary Value Problems
gdc.oaire.keywords Random data
gdc.oaire.keywords Stokes problem
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Ill-posed problem
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Convergence (economics)
gdc.oaire.keywords Thermodynamics
gdc.oaire.keywords Trigonometry
gdc.oaire.keywords Mathematics
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
gdc.oaire.keywords random data
gdc.oaire.keywords Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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gdc.opencitations.count 4
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gdc.publishedmonth 12
gdc.scopus.citedcount 8
gdc.virtual.author Baleanu, Dumitru
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