Solitary Wave Solutions of Nonlinear Conformable Time-Fractional Boussinesq Equations
O. Gunera, A. Bekirb, K. Hosseinic
aCankiri Karatekin University, Department of International Trade, Cankiri, Turkey
bNeighbourhood of Akcaglan, Imarli Str. Number: 28/4, 26030, Eskisehir, Turkey
cIslamic Azad University, Department of Mathematics, Rasht Branch, Rasht, Iran
Received: September 22, 2018; revised version April 3, 2019; in final form May 14, 2019
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In this paper, the (G'/G)-expansion method based on conformable fractional derivative is proposed to solve time fractional partial differential equations in mathematical physics. To illustrate the validity of this method, we solve the Boussinesq equation, coupled time-fractional Boussinesq equations and a variety of exact solutions for them are successfully established. With the help of Maple software, three-dimensional solution graphs are presented.

topics: conformable fractional derivative, time-fractional Boussinesq equations, (\tfrac{G\prime}{G})-expansion method