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 (234 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 of solutions for the boundary value problem of non-instantaneous impulsive fractional differential equations with p-Laplacian operator

Yiyun Li, Jingli Xie( ), Luping Mao
College of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, China
Show Author Information

Abstract

In this paper, we consider a boundary value problem of impulsive fractional differential equations with the nonlinear p-Laplacian operator, where impulses are non-instantaneous. By converting the given problem into an equivalent integral form and applying the Schauder fixed point theorem, we obtain some sufficient conditions for the existence of solutions. An illustrative example is presented to demonstrate the validity of our results.

Keywords

fractional differential equationsnon-instantaneous impulsivep-Laplacian operatorfixed point theorem
CLC number: 34A08, 34B37

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17592-17602
DOI: 10.3934/math.2022968

{{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:
Li Y, Xie J, Mao L. Existence of solutions for the boundary value problem of non-instantaneous impulsive fractional differential equations with p-Laplacian operator. AIMS Mathematics, 2022, 7(9): 17592-17602. https://doi.org/10.3934/math.2022968

116

Views

0

Downloads

4

Crossref

5

Web of Science

4

Scopus
Received: 04 May 2022
Revised: 22 July 2022
Accepted: 24 July 2022
Published: 15 September 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)