GENERALIZED EQUATIONS OF ONE-DIMENSIONAL
FILTRATION WITH FRACTIONAL-POWER
DIFFERENTIATIONS
R. P. Meilanov

UDC 536.6;531.1

Based on the formalism of fractional-power integrodifferentiation, 
the theory of filtration in porous media with fractal structure is 
generalized. Consideration is given to the cases of steady and unsteady 
filtration. For the steady filtration, nonlinear solutions are shown 
to exist. In the unsteady case, a new class of periodic solutions 
may exist.

Institute of Problems of Geothermy at the Dagestan Scientific 
Center, Russian Academy of Sciences, Makhachkala, 
Russia: email: lan_rus@dgu.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 74, No. 2, pp. 
34-37, March-April, 2001. Original article submitted December 22, 1999; 
revision submitted August 15, 2000.

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