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 (270.5 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

Hilfer iterated-integro-differential equations and boundary conditions

Sunisa Theswan1, Ayub Samadi2, Sotiris K. Ntouyas3,4, Jessada Tariboon1( )
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematices, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
Show Author Information

Abstract

In this research, a new class of fractional boundary value problems is introduced and studied, which combine Hilfer fractional derivatives with iterated Riemann-Liouville and Hadamard fractional integrals boundary conditions. Existence and uniqueness results are obtained by using standard tools from fixed point theory. The obtained results are well illustrated by numerical examples.

Keywords

Hilfer fractional derivativeRiemann-Liouville fractional integralHadamard fractional integralboundary value problemsiterated fractional integrals boundary conditions
CLC number: 34A08, 34B15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13945-13962
DOI: 10.3934/math.2022770

{{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:
Theswan S, Samadi A, Ntouyas SK, et al. Hilfer iterated-integro-differential equations and boundary conditions. AIMS Mathematics, 2022, 7(8): 13945-13962. https://doi.org/10.3934/math.2022770

4

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 26 January 2022
Revised: 11 April 2022
Accepted: 21 April 2022
Published: 15 August 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)