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 (221.4 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

The Green's function for Caputo fractional boundary value problem with a convection term

Youyu Wang( ), Xianfei Li, Yue Huang
Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, China
Show Author Information

Abstract

By using the operator theory, we establish the Green's function for Caputo fractional differential equation under Sturm-Liouville boundary conditions. The results are new, the method used in this paper will provide some new ideas for the study of this kind of problems and easy to be generalized to solving other problems.

Keywords

Caputo derivativeMittag-Leffler functionGreen's functionconvection term
CLC number: 34A08, 34B27, 35B50

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 4887-4897
DOI: 10.3934/math.2022272

{{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:
Wang Y, Li X, Huang Y. The Green's function for Caputo fractional boundary value problem with a convection term. AIMS Mathematics, 2022, 7(4): 4887-4897. https://doi.org/10.3934/math.2022272

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 25 October 2021
Revised: 09 December 2021
Accepted: 14 December 2021
Published: 15 April 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)