  The dynamics of fermion generations is treated in the framework of the
fractional Lagrangian and Hamiltonian in the compact extra dimension. The
resulting spectra for u, d, e generations are described by the only mass
parameter and slightly different fractional numbers, while the neutrino spectra
need another mass parameter and a single fractional number for all neutrino
species. New definitions of CKM and PMNS mixing matrices with standard data are
given as the interference integrals in the extra dimension. A possibility of
higher fermion states as dark matter candidates is shortly discussed.
