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 (286 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 results for nonlinear multi-term impulsive fractional q-integro-difference equations with nonlocal boundary conditions

Ravi P. Agarwal1( ), Bashir Ahmad2, Hana Al-Hutami2, Ahmed Alsaedi2
Department of Mathematics, Texas A & M University, Kingsville, Texas 78363-8202, USA
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Show Author Information

Abstract

This paper is concerned with the existence of solutions for a nonlinear multi-term impulsive fractional q-integro-difference equation with nonlocal boundary conditions. The appropriated fixed point theorems are applied to accomplish the existence and uniqueness results for the given problem. We demonstrate the application of the obtained results with the aid of examples.

Keywords

fractional q-derivative operatorRiemann-Liouville fractional q-integral operatorimpulsenonlocal boundary conditionsexistence of a solution
CLC number: 34A08, 39A13, 34B15, 34B37

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 19313-19333
DOI: 10.3934/math.2023985

{{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:
Agarwal RP, Ahmad B, Al-Hutami H, et al. Existence results for nonlinear multi-term impulsive fractional q-integro-difference equations with nonlocal boundary conditions. AIMS Mathematics, 2023, 8(8): 19313-19333. https://doi.org/10.3934/math.2023985

5

Views

0

Downloads

0

Crossref

0

Web of Science

5

Scopus
Received: 15 March 2023
Revised: 20 May 2023
Accepted: 04 June 2023
Published: 15 August 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)