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

Tran Thanh Binh; Nguyen Hoang Luc; Donal O’Regan; Nguyen H. Can

doi:10.1186/s13662-019-2410-z

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

Tran Thanh Binh, Nguyen Hoang Luc, Donal O’Regan, Nguyen H. Can

Mathematics

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13 Citations (Scopus)

Abstract

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.

Original language	English
Article number	481
Number of pages	0
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2410-z
Publication status	Published - 1 Dec 2019

Keywords

Conformable derivative
Diffusion equation
Inverse problem

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Binh, TT;Luc, NH;O'Regan, D;Can, NH

Access to Document

10.1186/s13662-019-2410-z

Cite this

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abstract = "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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AU - Luc, Nguyen Hoang

AU - O’Regan, Donal

AU - Can, Nguyen H.

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N2 - 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.

AB - 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.

KW - Conformable derivative

KW - Diffusion equation

KW - Inverse problem

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DO - 10.1186/s13662-019-2410-z

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VL - 2019

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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