The Analysis of Fractional-Order System Delay Differential Equations Using a Numerical Method. (28th May 2022)

• Record Type: Journal Article
• Authors: Sunthrayuth, Pongsakorn; Dutt, Hina M.; Ghani, Fazal; Arefin, Mohammad Asif
• Other Names: Rihan Fathalla A. Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-05-28
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/3570667
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : To solve fractional delay differential equation systems, the Laguerre Wavelets Method (LWM) is presented and coupled with the steps method in this article. Caputo fractional derivative is used in the proposed technique. The results show that the current procedure is accurate and reliable. Different nonlinear systems have been solved, and the results have been compared to the exact solution and different methods. Furthermore, it is clear from the figures that the LWM error converges quickly when compared to other approaches. When compared with the exact solution to other approaches, it is clear that LWM is more accurate and gets closer to the exact solution faster. Moreover, on the basis of the novelty and scientific importance, the present method can be extended to solve other nonlinear fractional-order delay differential equations.