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：

暂无

中图分类号：

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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