The relaxation in complex systems is studied. It is shown that charge relaxation in complex systems has
non-exponential non-Maxwell character. The physical mechanisms of non-Maxwell relaxation are established.
The new generalized relaxation equations of fractional order are deduced for non-exponential relaxation.
It is shown that to describe the wave propagation in disordered systems - in natural random fractals the fractional calculus is necessary to apply. The analogy between wave equations of fractional temporal order and diffusion equation of fractional temporal order is preceded. The new generalized wave equations of fractional order are deduced from microscopic models as Comb model. The solutions of these equations are obtained and the physical sense of these fractional equations is discussed.
The Baikal lake region is studied by the remote sensing methods, using fractal approach. It is shown that the using
of fractal dimensionalities give possibility to describe the natural communities by exact quantitative way and make the
classification of earth covers. There are classified three big classes with different values of fractal dimensionalities:
smooth homogeneous areas, rough fragments with a small bushes, and forests.
The relation between diffusion and conductivity is established for a case of diffusing particle moved by means of Levy hops (flights). It is shown that due to of an unusual character of Levy flight a particle velocity depends on electrical field in a nonlinear way in arbitrary weak fields.