Abstract
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 γ = 2.85 it is possible to reproduce locally observed basic features of cosmic rays in the energy region of 1010 ÷ 1020 eV: difference between spectral exponents of protons and other nuclei, mass composition variation, “knee” problem, flattening of the primary spectrum at E ≥ 1018 ÷ 1019 eV. The crucial model predictions for the mass composition behaviour in the ultra-high energy region are discussed.
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