Spectra of protons and nuclei in the energy range of ${10^{10}\div10^{20}}$ eV in the framework of Galactic cosmic ray origin
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 $10^{10}÷10^{20}$ eV: difference between spectral exponents of protons and other nuclei, mass composition variation, `knee' problem, flattening of the primary spectrum at $E \geq 10^{18}÷10^{19}$ eV. The crucial model predictions for the mass composition behaviour in the ultra-high energy region are discussed.