Abstract
The approximate solution of the time-fractional KdV equation (KdV) by using modified homotopy analysis Laplace transform method, which is a combined form of the Laplace transform and homotopy analysis methods, is investigated for the first time in this article. Comparison of series solutions between under a rapid convergence and the optimal values of convergence parameter h is made. The results through the L-2 and L-infinity error norms are also analyzed. The validity, flexibility, and accuracy of the proposed method is conformed through the numerical computations as well as graphical presentations of the results. (C) 2016 All rights reserved.