Fractional Hydrodynamic Equations for Fractal Media

Abstract

We use the fractional integrals in order to describe dynamical processes in the fractal media. We consider the "fractional" continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density, momentum density, and internal energy. The fractional generalization of Navier-Stokes and Euler equations are considered. We derive the equilibrium equation for fractal media. The sound waves in the continuous medium model for fractional media are considered.

19 pages

References in corpus (3)

• Continuous Medium Model for Fractal Media
• Fractional Generalization of Liouville Equations
• Fractional Systems and Fractional Bogoliubov Hierarchy Equations

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• Fractional Dynamics of Systems with Long-Range Space Interaction and Temporal Memory
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