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 (259.1 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

A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Kottakkaran Sooppy Nisar1( ), C. Anusha2, C. Ravichandran2
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641029, India
Show Author Information

Abstract

The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla ( ∇) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.

Keywords

neutral differential equationsRiemann-Liouville (RL) ∇-derivativetime scalesfixed point
CLC number: 37C25, 26E70, 34K40, 34N05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 1911-1925
DOI: 10.3934/math.2024094

{{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:
Nisar KS, Anusha C, Ravichandran C. A non-linear fractional neutral dynamic equations: existence and stability results on time scales. AIMS Mathematics, 2024, 9(1): 1911-1925. https://doi.org/10.3934/math.2024094

7

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 02 October 2023
Revised: 02 December 2023
Accepted: 11 December 2023
Published: 15 January 2024
©2024 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)