Coupled Method for Solving Time-Fractional Navier-Stokes Equation

This paper witnesses the coupling of two basic transforms: the He-Laplace transform (HLT) which is a blend of Laplace transformation and Homotopy perturbation methods and the fractional complex transform (FCT). This coupling technique is applied for the solutions of the time-fractional Navier-Stokes model equation. Two examples are considered in demonstrating the effectiveness of the coupled technique. The exact solutions of the solved problems are obtained with less computational work, while still maintaining high level of accuracy with little knowledge of fractional calculus being required. Thus, the proposed method is recommended for handling linear and nonlinear fractional models arising in pure and applied sciences