Recent measurements of cosmic ray proton and helium spectra in CREAM, PAMELA and AMS02 experiments show a
hardening above a few hundreds of GeV. This excess is hard to understand
in the framework of the conventional models of Galactic cosmic ray production
and propagation.
%
We propose here to explain this anomaly by the presence of local sources.
Cosmic ray propagation is described as a diffusion process taking place
inside a two-zone magnetic halo. We calculate the proton and helium fluxes
at the Earth between 50~GeV and 100~TeV. Improving over a similar analysis,
we consistently derive these fluxes by taking into account both local and
remote sources for which a unique injection rate is assumed.
%
We find cosmic ray propagation parameters for which the proton and helium
spectra remarkably agree with the CREAM, PAMELA and AMS02 measurements
over four decades in energy.