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 (249.2 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

Investigation of the solvability of n- term fractional quadratic integral equation in a Banach algebra

Hind H. G. Hashem1, Asma Al Rwaily2( )
Department of mathematics, Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Department of mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Show Author Information

Abstract

In this paper, we consider a nonlinear n-term fractional quadratic integral equation. Our investigation is located in the space C ( J , R ) . We prove the existence and uniqueness of the solution for that problem by applying some fixed point theorems. Next, we establish the continuous dependence of the unique solution for that problem on some functions. Finally, we present some particular cases for n-term fractional quadratic integral equation and an example to illustrate our results.

Keywords

multi-term quadratic integral equationexistence and uniqueness resultscontinuous dependency
CLC number: 34A08, 34A38, 34A12

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2783-2797
DOI: 10.3934/math.2023146

{{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:
Hashem HHG, Rwaily AA. Investigation of the solvability of n- term fractional quadratic integral equation in a Banach algebra. AIMS Mathematics, 2023, 8(2): 2783-2797. https://doi.org/10.3934/math.2023146

10

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 19 September 2022
Revised: 28 October 2022
Accepted: 03 November 2022
Published: 15 February 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)