Reconstruct the unknown source on the right hand side of time fractional diffusion equation with Caputo-Hadamard derivative
Authors
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Ngo Ngoc Hung
Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam
https://orcid.org/0000-0002-4380-0257
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Danh Hua Quoc Nam
Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
https://orcid.org/0000-0001-6742-2265
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Le Dinh Long
Falculty of Maths, FPT University HCM Saigon Hi-tech Park, Ho Chi Minh City, Vietnam
Corresponding Author
https://orcid.org/0000-0001-8805-4588
DOI:
https://doi.org/10.61383/ejam.20242263Keywords:
Inverse source problem, parabolic equation, regularization method, error estimateAbstract
The Caputo-Hadamard derivative was used to investigate the problem of functional recovery in this study. This problem is ill-posed, we propose a novel Quasi-reversibility for reconstructing the sought function and show that the regularization solution depends on space. After that, the convergence rates are established under a priori and posterior choice rules of regularization parameters, respectively.References
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Copyright (c) 2024 Ngo Ngoc Hung, Danh Hua Quoc Nam; Le Dinh Long (Corresponding Author)
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