Reconstruct the unknown source on the right hand side of time fractional diffusion equation with Caputo-Hadamard derivative

Authors

https://doi.org/10.61383/ejam.20242263

Keywords:

Inverse source problem, parabolic equation, regularization method, error estimate

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.

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Published

2024 Jun 15

How to Cite

[1]
N. N. Hung, D. H. Quoc Nam, and D. L. Le, “Reconstruct the unknown source on the right hand side of time fractional diffusion equation with Caputo-Hadamard derivative”, Electron. J. Appl. Math., vol. 2, no. 2, pp. 22–31, Jun. 2024.

Issue

Vol. 2 No. 2 (2024)

Section

Research Article

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Copyright (c) 2024 Ngo Ngoc Hung, Danh Hua Quoc Nam; Le Dinh Long (Corresponding Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
 
 
Received 2023 Dec 04
Accepted 2024 Jun 07
Published 2024 Jun 15