Reconstruct the Unknown Source on the Right Hand Side of Time Fractional Diffusion Equation with Caputo-Hadamard Derivative

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 ra...

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Published inElectronic Journal of Applied Mathematics Vol. 2; no. 2; pp. 22 - 31
Main Authors Hung, Ngo Ngoc, Quoc Nam, Danh Hua, Le, Dinh Long
Format Journal Article
LanguageEnglish
Published 15.06.2024
Online AccessGet full text
ISSN2980-2474
2980-2474
DOI10.61383/ejam.20242263

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Abstract 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.
AbstractList 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.
Author Quoc Nam, Danh Hua
Hung, Ngo Ngoc
Le, Dinh Long
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