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 (315.7 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

Utilizing Schaefer's fixed point theorem in nonlinear Caputo sequential fractional differential equation systems

Muath Awadalla1( ), Manigandan Murugesan2, Manikandan Kannan2, Jihan Alahmadi3( ), Feryal AlAdsani1
Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Al Ahsa, Saudi Arabia
Center for Computational Modeling, Chennai Institute of Technology, Chennai, 600069, Tamil Nadu, India
Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia
Show Author Information

Abstract

In the present study, established fixed-point theories are utilized to explore the requisite conditions for the existence and uniqueness of solutions within the realm of sequential fractional differential equations, incorporating both Caputo fractional operators and nonlocal boundary conditions. Subsequently, the stability of these solutions is assessed through the Ulam-Hyers stability method. The research findings are validated with a practical example that corroborate and reinforce the theoretical results.

Keywords

Caputo fractional derivativeexistence and uniquenesssequential derivativesfixed point theoremboundary conditions
CLC number: 34A08, 34B15, 45G15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 14130-14157
DOI: 10.3934/math.2024687

{{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:
Awadalla M, Murugesan M, Kannan M, et al. Utilizing Schaefer's fixed point theorem in nonlinear Caputo sequential fractional differential equation systems. AIMS Mathematics, 2024, 9(6): 14130-14157. https://doi.org/10.3934/math.2024687

352

Views

38

Downloads

7

Crossref

7

Web of Science

9

Scopus
Received: 26 January 2024
Revised: 21 March 2024
Accepted: 29 March 2024
Published: 18 April 2024
©2024 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)