  Fractional Newtonian gravity, based on the fractional generalization of
Poisson's equation for Newtonian gravity, is a novel approach to Galactic
dynamics aimed at providing an alternative to the dark matter paradigm through
a non-local modification of Newton's theory. We provide an in-depth discussion
of the gravitational potential for the Kuzmin disk within this new approach.
Specifically, we derive an integral and a series representation for the
potential, we verify its asymptotic behavior at large scales, and we provide
illuminating plots of the resulting equipotential surfaces.
