The Fractional Landweber Method for Identifying Unknown Source for the Fractional Elliptic Equations

The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to solving the problem under consideration, the Landweber fractional method is used. This method involves constructing a regularization algorith...

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Bibliographic Details
Published inElectronic Journal of Applied Mathematics Vol. 2; no. 4; pp. 42 - 50
Main Authors Nguyen, Doan Vuong, NguyenHoang, Tuan, Tri, Vo Viet
Format Journal Article
LanguageEnglish
Published 17.12.2024
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Summary:The article addresses the inverse problem of identifying an unknown source term in a fractional elliptic equation defined in a bounded domain. The approach to solving the problem under consideration, the Landweber fractional method is used. This method involves constructing a regularization algorithm. A posteriori and a priori lapses estimates are obtained, and final data with random data is regard.
ISSN:2980-2474
2980-2474
DOI:10.61383/ejam.20242489