Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method

In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional Landweber regularization method for solving this problem. Error estimates between the regularized solution and the sought solution are also o...

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Published inAdvances in difference equations Vol. 2020; no. 1; pp. 1 - 21
Main Authors Luc, Nguyen Hoang, Huynh, Le Nhat, O’Regan, Donal, Can, Nguyen Huu
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 03.09.2020
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Difference and Functional Equations
Fractional Landweber regularization method
Fractional Rayleigh–Stokes equation
Functional Analysis
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Ordinary Differential Equations
Partial Differential Equations
Regularization
Regularization methods
Fractional Landweber regularization method
Fractional Rayleigh–Stokes equation
Regularization
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Summary:In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional Landweber regularization method for solving this problem. Error estimates between the regularized solution and the sought solution are also obtained under some choice rules for both a-priori and a-posterior regularization parameters.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02922-4