Results on Ulam–Hyers stability of nonlinear Chen system with fractional‐order derivative.
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| Title: | Results on Ulam–Hyers stability of nonlinear Chen system with fractional‐order derivative. |
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| Authors: | Boulaaras, Salah1 (AUTHOR), Arunachalam, Selvam2 (AUTHOR), Sriramulu, Sabarinathan3 (AUTHOR) ssabarimaths@gmail.com |
| Source: | Asian Journal of Control. Jan2026, Vol. 28 Issue 1, p214-227. 14p. |
| Subjects: | Stability theory, Stability of nonlinear systems, Interpolation algorithms, Caputo fractional derivatives, Simulation methods & models, Nonlinear dynamical systems, Iterative methods (Mathematics) |
| Abstract: | This article focuses on the stability analysis of fractional‐order derivative for nonlinear Chen chaotic systems using Caputo–Fabrizio fractional derivative. The primary objective is to examine the criteria for existence and uniqueness using the fixed‐point technique. The study explores Ulam stability results and discusses other significant findings for the proposed system. Numerical schemes are employed using Lagrange polynomial interpolation with Caputo–Fabrizio fractional derivative. Simulated graphical representations are generated for different fractional‐order values, and the simulation results validate the efficacy and practical applicability of the theoretical findings. [ABSTRACT FROM AUTHOR] |
| Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190987549 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Results on Ulam–Hyers stability of nonlinear Chen system with fractional‐order derivative. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Boulaaras%2C+Salah%22">Boulaaras, Salah</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Arunachalam%2C+Selvam%22">Arunachalam, Selvam</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sriramulu%2C+Sabarinathan%22">Sriramulu, Sabarinathan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> ssabarimaths@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Jan2026, Vol. 28 Issue 1, p214-227. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+of+nonlinear+systems%22">Stability of nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation+algorithms%22">Interpolation algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Caputo+fractional+derivatives%22">Caputo fractional derivatives</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+dynamical+systems%22">Nonlinear dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This article focuses on the stability analysis of fractional‐order derivative for nonlinear Chen chaotic systems using Caputo–Fabrizio fractional derivative. The primary objective is to examine the criteria for existence and uniqueness using the fixed‐point technique. The study explores Ulam stability results and discusses other significant findings for the proposed system. Numerical schemes are employed using Lagrange polynomial interpolation with Caputo–Fabrizio fractional derivative. Simulated graphical representations are generated for different fractional‐order values, and the simulation results validate the efficacy and practical applicability of the theoretical findings. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/asjc.3656 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 214 Subjects: – SubjectFull: Stability theory Type: general – SubjectFull: Stability of nonlinear systems Type: general – SubjectFull: Interpolation algorithms Type: general – SubjectFull: Caputo fractional derivatives Type: general – SubjectFull: Simulation methods & models Type: general – SubjectFull: Nonlinear dynamical systems Type: general – SubjectFull: Iterative methods (Mathematics) Type: general Titles: – TitleFull: Results on Ulam–Hyers stability of nonlinear Chen system with fractional‐order derivative. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Boulaaras, Salah – PersonEntity: Name: NameFull: Arunachalam, Selvam – PersonEntity: Name: NameFull: Sriramulu, Sabarinathan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 15618625 Numbering: – Type: volume Value: 28 – Type: issue Value: 1 Titles: – TitleFull: Asian Journal of Control Type: main |
| ResultId | 1 |
