  We consider the problem of the cosmic ray spectrum formation assuming that
cosmic rays are produced by Galactic sources. The anomalous diffusion equation
proposed in our recent papers is used to describe cosmic ray propagation in the
interstellar medium. We show that in the framework of this approach and with
generation spectrum exponent $\gamma=2.85$ it is possible to reproduce locally
observed basic features of cosmic rays in the energy region of $10^{10}\div
10^{20}$ eV: difference between spectral exponents of protons and other nuclei,
mass composition variation, `knee' problem, flattening of the primary spectrum
at $E \geq 10^{18}\div 10^{19}$ eV. The crucial model predictions for the mass
composition behaviour in the ultra-high energy region are discussed.
