Journal
ANNALS OF PHYSICS
Volume 318, Issue 2, Pages 286-307Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2005.01.004
Keywords
hydrodynamic equations; fractal media; fractional integral
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We use the fractional integrals in order to describe dynamical processes in the fractal medium. 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. (c) 2005 Elsevier Inc. All rights reserved.
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