  The complex behavior of liquid ${}^4$He and liquid ${}^3$He in nanoporous
media is determined by influence of randomly distributed geometrical
confinement as well as by significant contribution from the atoms near walls.
In the present paper fractional Schrodinger equation has been used for deriving
two-fluid hydrodynamical equations for describing the motion of superfluid
helium in the fractal dimension space. Nonlinear equations for oscillations of
pressure and temperature are obtained and coupling of pressure and temperature
oscillations is observed. Moreover coupling should disappear at very low
temperatures which provide an experimental test for this theory.
