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A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets

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  • Haifa Bin Jebreen
  • Fairouz Tchier
  • Ã tila Madureira Bueno

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.

Suggested Citation

  • Haifa Bin Jebreen & Fairouz Tchier & à tila Madureira Bueno, 2021. "A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets," Complexity, Hindawi, vol. 2021, pages 1-9, July.
    • Handle: RePEc:hin:complx:9915551
    DOI: 10.1155/2021/9915551
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    Cited by:

    1. Haifa Bin Jebreen & Ioannis Dassios, 2022. "On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations," Mathematics, MDPI, vol. 10(8), pages 1-12, April.

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