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

Author

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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).

Suggested Citation

  • 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.
    2. Wilson Osafo Apeanti & David Yaro & Saviour Worlanyo Akuamoah, 2025. "Solitary Wave Solutions and Modulation Instability of First‐ and Second‐Order Benjamin–Ono Fluid Dynamics Models With Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    3. Mohamed R. Ali & Wen-Xiu Ma, 2019. "New Exact Solutions of Nonlinear (3 + 1)‐Dimensional Boiti‐Leon‐Manna‐Pempinelli Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    4. Jinxing Liu & Muhammad Nadeem & Mustafa Habib & Shazia Karim & Harun Or Roshid, 2022. "Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two‐Scale Approach," Complexity, John Wiley & Sons, vol. 2022(1).

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