Abstract
In the published paper (Results in Physics, 9, (2018) 1497-1501), the authors introduced new traveling wave solutions for space-time nonlinear fractional differential equations (S-TNFDE) using, exp(-phi(xi))-expansion function and generalized Kudryashov methods. Here we present new solutions of the same equation considering another two modified methods, namely auxiliary equation method (AEM) and extended direct algebraic method (EDAM). To be able to solve the model of equations, fractional complex transform and the conformable fractional derivatives are used to convert fractional differential equation, into ordinary differential equations. The validity and reliability of the proposed methods are tested, and from the obtained results we generated new group of solutions of (S-TNFDE).