Fractional Navier-Stokes Equation Via Conformable Double Laplace Transform Method

Abstract

This work presents a conformable double Laplace transform method to get analytic approximate solutions for linear one- dimensional Navier-Stokes partial differential equations (PDEs) of fractional-order in conformable fractional derivative sense. The scheme is tested through two examples, and the results are shown in figures to demonstrate the efficiency and reliability of the proposed method. Furthermore, the outcome of the present method converges rapidly to the given exact solutions when the fractional orders values of and are small. Consequently, the proposed method is found to be reliable, efficient and easy to implement for various related problems of science and engineering