We consider the description of the fractal media that uses the fractional
integrals. We derive the fractional generalizations of the equation that
defines the medium mass. We prove that the fractional integrals can be used to
describe the media with noninteger mass dimensions. The fractional equation of
continuity is considered.
@article{0506137,
author = {Tarasov, Vasily E.},
title = {Continuous Medium Model for Fractal Media},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0506137}
}
Tarasov, Vasily E. Continuous Medium Model for Fractal Media. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506137/