Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, P.O. Box 1914, Iran.
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, P.O. Box 1616, Iran.
In this paper, we employ a sub-equation method to nd the exact solutions to the fractional (1 + 1) and (2 + 1) regularized long-wave equations which arise in several physical applications, including ion sound waves in plasma, by using a new denition of fractional derivative called conformable fractional derivative. The presented method is more eective, powerful, and straightforward and can be used for many other nonlinear partial fractional dierential equations.