Abstract:In this paper, a Lagrangian of the coupled Navier-Stokes equations is
proposed based on the semi-inverse method. The fractional derivatives in the
sense of Riemann-Liouville definition are used to replace the classical
derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation
can be derived with the help of the fractional variational principles. The
Agrawal?s method is devot?ed to lead to the time-space fractional coupled
Navier-Stokes equations from the above Euler-Lagrange … Show more
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