On an initial inverse problem for a diffusion equation with a conformable derivative

被引：0
|
作者：
Tran Thanh Binh
Nguyen Hoang Luc
Donal O’Regan
Nguyen H. Can
机构：
[1] Thu Dau Mot University,Faculty of Natural Sciences
[2] Duy Tan University,Institute of Research and Development
[3] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
[4] Ton Duc Thang University,Applied Analysis Research Group, Faculty of Mathematics and Statistics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Inverse problem; Diffusion equation; Conformable derivative; 35K05; 35K99; 47J06; 47H10;
D O I：
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学科分类号：
摘要：
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.
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