Abstract
Purpose - The purpose of this paper is to develop a scheme to study numerical solution of time fractional nonlinear evolution equations under initial conditions by reduced differential transform method.Design methodology approach - The paper considers two models of special interest in physics with fractional-time derivative of order, namely, the time fractional mKdV equation and time fractional convection diffusion equation with nonlinear source term.Findings - The numerical results demonstrate the significant features, efficiency and reliability of the proposed method and the effects of different values are shown graphically.Originality value - The paper shows that the results obtained from the fractional analysis appear to be general.