JOURNAL ARTICLE

Existence, Uniqueness and Error Analysis of Variable-Order Fractional Lorenz System with Various Type of Delays.

  • Published In: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 12. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Naveen, S.; Parthiban, V. 3 of 3

Abstract

This paper examines the variable-order fractional Lorenz system with distinct types of delays. The application of the Arzela–Ascoli theorem is made to prove the existence of solutions for the given problem, while the Banach fixed point theorem is employed to derive the uniqueness results. The utilization of the Adams–Bashforth–Moulton technique facilitates the exploration and resolution of the approximation solution, complemented by a thorough error analysis of particular approaches. The computational simulations showing chaotic behaviors in various delayed systems with different variable orders demonstrate the effectiveness of the approach. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2024/09, Vol. 34, Issue 12, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0218-1274
  • DOI:10.1142/S0218127424501529
  • Accession Number:180169201
  • Copyright Statement:Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company 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.)

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