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

Donal O'Regan

doi:10.1186/s13662-020-02922-4

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

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

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.

Original language	English (Ireland)
Article number	459
Journal	Advances In Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-02922-4
Publication status	Published - 1 Sep 2020

Keywords

Fractional Landweber regularization method
Fractional Rayleigh–Stokes equation
Regularization

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Luc, NH,Huynh, LN,O'Regan, D,Can, NH

Access to Document

10.1186/s13662-020-02922-4

Cite this

@article{ecb6c194382e40c88994b674ff27873a,

title = "Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method",

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.",

keywords = "Fractional Landweber regularization method, Fractional Rayleigh–Stokes equation, Regularization",

author = "Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2020",

month = sep,

day = "1",

doi = "10.1186/s13662-020-02922-4",

language = "English (Ireland)",

volume = "2020",

journal = "Advances In Difference Equations",

number = "1",

}

TY - JOUR

T1 - Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method

AU - O'Regan, Donal

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - Fractional Landweber regularization method

KW - Fractional Rayleigh–Stokes equation

KW - Regularization

UR - https://www.scopus.com/pages/publications/85090125858

U2 - 10.1186/s13662-020-02922-4

DO - 10.1186/s13662-020-02922-4

M3 - Article

VL - 2020

JO - Advances In Difference Equations

JF - Advances In Difference Equations

IS - 1

M1 - 459

ER -

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this