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 (352.7 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 and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models

Murugesan Manigandan1,2( ), R. Meganathan3, R. Sathiya Shanthi4, Mohamed Rhaima5( )
Center for Nonlinear and Complex Networks, SRM TRP Engineering College, Tiruchirappalli 621 105, Tamil Nadu, India
Center for Research, Easwari Engineering College, Chennai 600 089, Tamil Nadu, India
Department of Mathematics, School of Engineering and Technology, Dhanalakshmi Srinivasan University Trichy 621112, Tamil Nadu, India
Department of Mathematics, School of Agricultural Sciences, Dhanalakshmi Srinivasan University, Trichy 621112, Tamil Nadu, India
Department of Statistics and Operations Research, College of Sciences, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia
Show Author Information

Abstract

This paper explores a fractional integro-differential equation with boundary conditions that incorporate the Hilfer-Hadamard fractional derivative. We model the RLC circuit using fractional calculus and define weighted spaces of continuous functions. The existence and uniqueness of solutions are established, along with their Ulam-Hyers and Ulam-Hyers-Rassias stability. Our analysis employs Schaefer's fixed-point theorem and Banach's contraction principle. An illustrative example is presented to validate our findings.

Keywords

fractional differential equationsHilfer-Hadamard fractional derivativenon-local boundary conditionsexistencefixed-point theorem
CLC number: 34A05, 34B15, 47H10

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 28741-28764
DOI: 10.3934/math.20241394

{{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:
Manigandan M, Meganathan R, Shanthi RS, et al. Existence and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models. AIMS Mathematics, 2024, 9(10): 28741-28764. https://doi.org/10.3934/math.20241394

107

Views

3

Downloads

4

Crossref

4

Web of Science

4

Scopus
Received: 11 July 2024
Revised: 05 September 2024
Accepted: 30 September 2024
Published: 15 October 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)