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2019 A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation
Mohamed R. Ali
J. Appl. Math. 2019: 1-7 (2019). DOI: 10.1155/2019/3456848

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. "A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation." J. Appl. Math. 2019 1 - 7, 2019. https://doi.org/10.1155/2019/3456848

Information

Received: 12 December 2018; Revised: 2 March 2019; Accepted: 25 March 2019; Published: 2019
First available in Project Euclid: 24 July 2019

zbMATH: 07132118
MathSciNet: MR3949343
Digital Object Identifier: 10.1155/2019/3456848

Rights: Copyright © 2019 Hindawi

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