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Fractional Landweber method for an initial inverse problem for time-fractional wave equations
Journal article   Peer reviewed

Fractional Landweber method for an initial inverse problem for time-fractional wave equations

Le Nhat Huynh, Yong Zhou, Donal O'Regan and Nguyen Huy Tuan
Applicable analysis, Vol.100(4), pp.860-878
12/03/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the initial inverse problem (backward problem) for an inhomogeneous time-fractional wave equation in a general bounded domain. We show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Landweber regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules.

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