Approximate analytical solution to time fractional nonlinear evolution equations

Abstract

PurposeThe 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/approachThe 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.FindingsThe numerical results demonstrate the significant features, efficiency and reliability of the proposed method and the effects of different values are shown graphically.Originality/valueThe paper shows that the results obtained from the fractional analysis appear to be general.