AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (414.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Determine unknown source problem for time fractional pseudo-parabolic equation with Atangana-Baleanu Caputo fractional derivative

Nguyen Duc Phuong1, Le Dinh Long2,3( ), Devender Kumar4, Ho Duy Binh5
Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam
Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam
Faculty of Applied Technology, School of Engineering and Technology, Van Lang University, Ho Chi Minh City, Vietnam
Department of Mathematics, University of Rajasthan, Jaipur-302004, India
Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
Show Author Information

Abstract

In this paper, we consider a pseudo-parabolic equation with the Atangana-Baleanu Caputo fractional derivative. Our main tool here is using fundamental tools, namely the Fractional Tikhonov method and the generalized Tikhonov method, the error estimate is shown. Finally, we provided numerical experiments to prove the correctness of our theory.

Keywords

Caputo derivativepseudo-parabolic equationwell-posednessregularity estimates
CLC number: 26A33, 35B05, 35B65, 35R11

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16147-16170
DOI: 10.3934/math.2022883

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Phuong ND, Long LD, Kumar D, et al. Determine unknown source problem for time fractional pseudo-parabolic equation with Atangana-Baleanu Caputo fractional derivative. AIMS Mathematics, 2022, 7(9): 16147-16170. https://doi.org/10.3934/math.2022883

43

Views

0

Downloads

6

Crossref

5

Web of Science

6

Scopus
Received: 13 May 2022
Revised: 20 June 2022
Accepted: 22 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)