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

被引：10

作者：

Tran Thanh Binh ^{[1
]}

Nguyen Hoang Luc ^{[2
]}

O'Regan, Donal ^{[3
]}

Can, Nguyen H. ^{[4
]}

机构：

[1] Thu Dau Mot Univ, Fac Nat Sci, Thu Dau Mot City, Vietnam

[2] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[4] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

Inverse problem; Diffusion equation; Conformable derivative;

D O I：

10.1186/s13662-019-2410-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：24

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