Approximate Solutions to Fractional Multi-Dimensional Navier-Stokes Equation Using the (FHPTM)

Abstract

This work focuses on presenting a reliable method, called fractional homotopy perturbation transform method (FHPTM) to solve nonlinear Naviers Stoks equations with the Caputo type fractional derivatives. The (FHPTM) is a combination of Laplace transform and homotopy perturbation method (He -Laplace method). He’s polynomial is used to simplify the nonlinearity which arise in our considered equation. Furthermore, three numerical examples are presented, it is supported by graphs and tables to compare solutions with little computational effort, which confirms the effectiveness and accuracy of the current method.

Keywords

• Fractional derivative in Caputo sence
• Laplace transform
• FHPTM
• Mittag Leffler func- tion.
• Navier Stokes Equations

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