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

被引：0
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作者：
Nguyen Hoang Luc
Le Nhat Huynh
Donal O’Regan
Nguyen Huu Can
机构：
[1] Duy Tan University,Institute of Research and Development
[2] University of Science,Department of Mathematics and Computer Science
[3] Vietnam National University,School of Mathematics, Statistics and Applied Mathematics
[4] National University of Ireland,Applied Analysis Research Group, Faculty of Mathematics and Statistics
[5] Ton Duc Thang University,undefined
来源：
Advances in Difference Equations | / 2020卷
关键词：
Fractional Rayleigh–Stokes equation; Fractional Landweber regularization method; Regularization;
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摘要：
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.
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