  We address effects of spin-orbit coupling (SOC), phenomenologically added to
a two-component Bose-Einstein condensate composed of particles moving by Levy
flights, in one- and two-dimensional (1D and 2D) settings. The corresponding
system of coupled Gross-Pitaevskii equations includes fractional kinetic-energy
operators, characterized by the Levy index, \alpha < 2 (the normal kinetic
energy corresponds to \alpha = 2). The SOC terms, with strength \lambda,
produce strong effects in the 2D case: they create families of stable solitons
of the semi-vortex (SV) and mixed-mode (MM) types in the interval of 1 < \alpha
< 2, where the supercritical collapse does not admit the existence of stable
solitons in the absence of the SOC. At \lambda --> 0, amplitudes of these
solitons vanish as (\lambda)^{1/(\alpha - 1)}.
