Analysis of the Fractional-Order Delay Differential Equations by the Numerical Method. (14th March 2022)

• Record Type: Journal Article
• Authors: Masood, Saadia; Naeem, Muhammad; Ullah, Roman; Mustafa, Saima; Bariq, Abdul
• Other Names: Rihan Fathalla A. Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-03-14
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/3218213
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. The fractional derivative is defined in Caputo manner. The proposed method is simple, effective, and straightforward as compared to other numerical techniques. To check the validity and accuracy of the proposed method, some illustrative examples are solved by using the present scenario. The obtained results have confirmed the greater accuracy than the modified Laguerre wavelet method, the Chebyshev wavelet method, and the modified wavelet-based algorithm. Moreover, based on the novelty and scientific importance, the present method can be extended to solve other nonlinear fractional-order delay differential equations.