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 (254.4 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

Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Show Author Information

Abstract

In the framework of Caputo–Fabrizio derivatives, we study a new coupled system of fractional differential equations of higher orders supplemented with coupled nonlocal boundary conditions. The existence and uniqueness results of the solutions are proved. We consider the classical fixed–point theories due to Banach and Krasnoselskii for the main results. An example illustrating the main results is introduced.

Keywords

fractional differential equationsCaputo–Fabriziocoupled systemexistencefixed–point theorems
CLC number: 26A33, 34A08, 34A12, 47H10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 590-606
DOI: 10.3934/math.2023027

{{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:
Aljoudi S. Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives. AIMS Mathematics, 2023, 8(1): 590-606. https://doi.org/10.3934/math.2023027

10

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 14 August 2022
Revised: 13 September 2022
Accepted: 19 September 2022
Published: 15 January 2023
©2023 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)