Determination of Source Term for the Fractional Rayleigh-Stokes Equation With Random Data
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2019
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Springeropen
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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.
Description
Nguyen, Huu-Can/0000-0001-6198-1015
ORCID
Keywords
Rayleigh-Stokes Problem, Fractional Derivative, Ill-Posed Problem, Random Data, Truncation (statistics), Finite element method, Inverse Problems in Mathematical Physics and Imaging, Economics, Estimator, Mathematical analysis, Quantum mechanics, Term (time), QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Hadamard transform, Economic growth, Rayleigh–Stokes problem, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Statistics, Fractional derivative, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Random data, Stokes problem, Modeling and Simulation, Ill-posed problem, Physical Sciences, Convergence (economics), Thermodynamics, Trigonometry, Mathematics, Rayleigh-Stokes problem, ill-posed problem, Heat equation, fractional derivative, Fractional partial differential equations, random data, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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Fields of Science
01 natural sciences, 0101 mathematics
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.
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OpenCitations Citation Count
4
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Journal of Inequalities and Applications
Volume
2019
Issue
1
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Scopus : 8
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8
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7
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