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 algorithm. A posteriori and a priori lapses estimates are obtained, and final data with random data is regard.

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Publication Details

Journal
Electronic Journal of Applied Mathematics
Published
2024-12-17
DOI
https://doi.org/10.61383/ejam.20242489
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.40
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article

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

Tuan NGUYEN HOANG, Vuong Nguyen Doan, Vo Viet Tri
1 citations
Electronic Journal of Applied Mathematics
Fractional Differential Equations Solutions
0.40
article

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

Tuan NGUYEN HOANG, Vuong Nguyen Doan, Vo Viet Tri
article en
1 citations

Abstract

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.

Electronic Journal of Applied MathematicsVol. 2(4)
Industrial University of Ho Chi Minh City (VN), Institute of Applied Technology (CN), Bình Dương University (VN)
Openalex Percentile: Top 37%
Fractional Differential Equations Solutions
0.40
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