Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method
Nguyen Hoang LucInstitute of Research and Development, Duy Tan University, Da Nang, 550000, VietnamLe HuynhDepartment of Mathematics and Computer Science, University of Science, Ho Chi Minh City, VietnamDonal O’ReganSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandNguyen Huu CanApplied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2020en
ABI
Abstract
Abstract 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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