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
PDF (1.1 MB)
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 new approach to solving local fractional Riccati differential equations using the Adomian-Elzaki method

Hilal Aydemir1Mehmet Merdan1( )Ümit Demir2
Department of Mathematical Engineering, Gumushane University, Gumushane, Turkey
Banking and Insurance Department/Finance, Bayburt University, Bayburt, Turkey
Show Author Information

Abstract

The Elzaki-Adomian decomposition method (EADM) is intended to serve as an efficient analytical method for the resolution of these original fractional-order Riccati differential equations. This can be accomplished permanently by incorporating the Adomian decomposition method with Elzaki. The local fractional derivative is implemented in this format. Particularly in the context of nonlinear differential equations (ODE), this approach is preferred over digital gaps. Additionally, the method's convergence. Random individuals with uniform, beta, normal, and gamma distributions are used to select the initial conditions or coefficients of the equations. The variance, confidence interval, and expected value of the solutions that are obtained will be determined. MATLAB (2013a) package software will be employed to display the individuals that were brought together, and the results will be analyzed randomly.

CLC number: 35C05, 35R11, 65R10

References

【1】
【1】
 
 
AIMS Mathematics
Pages 9122-9149

{{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

Close
Close
Cite this article:
Aydemir H, Merdan M, Demir Ü. A new approach to solving local fractional Riccati differential equations using the Adomian-Elzaki method. AIMS Mathematics, 2025, 10(4): 9122-9149. https://doi.org/10.3934/math.2025420

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus

Received: 23 January 2025
Revised: 06 March 2025
Accepted: 20 March 2025
Published: 15 April 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)