(4)Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method
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Muhannad A. Shallala, Khalid K. Alib, Kamal R. Raslanb, Hadi Rezazadehc, Ahmet Bekird,∗
a Mathematics Department, College of Science, University of Kirkuk, Kirkuk, Iraq
b Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt
cFaculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
dNeighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
Received 9 August 2019; received in revised form 13 December 2019; accepted 17 December 2019
Available online 15 February 2020
Abstract
In this paper, we used the generalized (G’/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial
differential equations. This method is applied to obtain exact solutions for conformable fractional equal width wave equation (EW equation)
and conformable fractional modified equal width wave equation (MEW equation). Based on the proposed method, several new exact solutions
have been obtained. The proposed method is powerful and easily applicable for solving different types of conformable fractional partial
differential equations.
© 2020 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Solitary waves; The generalized (G’/G)-expansion method; Conformable fractional derivative.