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 (2.2 MB)
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

Measure of non-compactness for nonlocal boundary value problems via ( k , ψ )-Riemann-Liouville derivative on unbounded domain

Aphirak Aphithana1, Weerawat Sudsutad2, Jutarat Kongson3( ), Chatthai Thaiprayoon3
Faculty of Engineering Science and Technology, Suvarnabhumi Institute of Technology, Samut Prakan 10540, Thailand
Theoretical and Applied Data Integration Innovations Group, Department of Statistics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, Thailand
Research Group of Theoretical and Computational Applied Science, Department of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, Thailand
Show Author Information

Abstract

In this paper, we investigate the existence result for ( k , ψ )-Riemann-Liouville fractional differential equations via nonlocal conditions on unbounded domain. The main result is proved by applying a fixed-point theorem for Meir-Keeler condensing operators with a measure of noncompactness. Finally, two numerical examples are also demonstrated to confirm the usefulness and applicability of our theoretical results.

Keywords

boundary value problemfixed point theorem(k, ψ)-Riemann-Liouville fractional derivativemeasure of noncompactnessMeir-Keeler condensing operators
CLC number: 26A33, 34A08, 34B40, 47H08, 47H10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 20018-20047
DOI: 10.3934/math.20231020

{{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:
Aphithana A, Sudsutad W, Kongson J, et al. Measure of non-compactness for nonlocal boundary value problems via ( k , ψ )-Riemann-Liouville derivative on unbounded domain. AIMS Mathematics, 2023, 8(9): 20018-20047. https://doi.org/10.3934/math.20231020

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 14 December 2022
Revised: 07 May 2023
Accepted: 15 May 2023
Published: 15 September 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)