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 (287.1 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

Variational analysis of Kirchhoff-type fractional p-Laplacian BVPs under simultaneous instantaneous and non-instantaneous impulses

School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, 830000, China
Show Author Information

Abstract

This research focuses on solving Kirchhoff-type fractional p-Laplacian BVPs with hybrid impulsive effects (instantaneous and non-instantaneous types). Through the use of variational methods, the existence of solutions and multiple solutions for the aforementioned problem are established under assumptions weaker than the super- p-linear Ambrosetti-Rabinowitz type growth condition. Finally, an example demonstrates the validity of the paper's main results.

Keywords

fractional Kirchhoff problemsp-Laplacian operatorinstantaneous impulsesnon-instantaneous impulsesvariational methods
CLC number: 34A08, 34B15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 11,
November 2025
Pages 26293-26312
DOI: 10.3934/math.20251156

{{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:
Xue T. Variational analysis of Kirchhoff-type fractional p-Laplacian BVPs under simultaneous instantaneous and non-instantaneous impulses. AIMS Mathematics, 2025, 10(11): 26293-26312. https://doi.org/10.3934/math.20251156

142

Views

4

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 12 September 2025
Revised: 30 October 2025
Accepted: 04 November 2025
Published: 13 November 2025
©2025 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)