A unique approach for solving the fractional Navier–Stokes equation

Abstract

The Laplace Adomian decomposition technique is an excellent tool employed in this study to solve the fractional Navier-Stokes equation. The Antagana-Baleanu sense is used to characterize the fractional derivatives. The result of the proposed approach is stated as a series of Adomian components that converges to the precise solution of the problem. To show the applicability of the recommended technique, examples are presented.

Subject Classification:

• Primary 41A25
• Secondary 41A35

Keywords:

• Fractional Navier-Stokes equation
• Antagana-Baleanu fractional derivative
• Laplace adomian decomposition method