On an initial inverse problem for a diffusion equation with a conformable derivative
https://doi.org/10.1186/s13662-019-2410-zPublisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
In this paper, we consider the initial inverse problem for a diffusion equation with a conformable derivative in a general bounded domain. We show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Landweber regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules.
Tags: Inverse problem, Diffusion equation, Conformable derivative
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