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A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation

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  • Mohamed R. Ali

Abstract

We deem the time-fractional Benjamin-Ono (BO) equation out of the Riemann–Liouville (RL) derivative by applying the Lie symmetry analysis (LSA). By first using prolongation theorem to investigate its similarity vectors and then using these generators to transform the time-fractional BO equation to a nonlinear ordinary differential equation (NLODE) of fractional order, we complete the solutions by utilizing the power series method (PSM).

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  • Mohamed R. Ali, 2019. "A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:3456848
    DOI: 10.1155/2019/3456848
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    Cited by:

    1. Andronikos Paliathanasis & Peter G. L. Leach, 2022. "Lie Symmetry Analysis of the Aw–Rascle–Zhang Model for Traffic State Estimation," Mathematics, MDPI, vol. 11(1), pages 1-11, December.

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