A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets. (31st July 2021)

• Record Type: Journal Article
• Authors: Bin Jebreen, Haifa; Tchier, Fairouz
• Other Names: Bueno Átila Madureira Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-07-31
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/9915551
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative. Using the operational matrix for the Caputo derivative operator and applying the Chebyshev and Legendre zeros, the problem is reduced to a system of linear algebraic equations. We illustrate the reliability, efficiency, and accuracy of the method by some numerical examples. We also compare the proposed method with others and show that the proposed method gives better results.