Fractional Landweber method for an initial inverse problem for time-fractional wave equations. Issue 4 (12th March 2021)

• Record Type: Journal Article
• Authors: Huynh, Le Nhat; Zhou, Yong; O'Regan, Donal; Tuan, Nguyen Huy
• Is Part Of: Applicable analysis. Volume 100:Issue 4(2021)
• Page Start: 860
• Page End: 878
• Publication Date: 2021-03-12
• Subjects: Fractional Landweber -- regularization -- fractional wave; 35R11; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1622682
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: 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.