Newtonian Fractional-Dimension Gravity and Disk Galaxies
  This paper continues previous work on a novel alternative model of gravity,
based on the theory of fractional-dimension spaces applied to Newton's law of
gravitation. In particular, our Newtonian Fractional-Dimension Gravity is now
applied to axially-symmetric structures, such as thin/thick disk galaxies
described by exponential, Kuzmin, or other similar mass distributions.
  As in the case of spherically-symmetric structures, which was studied in
previous work on the subject, we examine a possible connection between our
model and Modified Newtonian Dynamics, a leading alternative gravity model,
which accounts for the observed properties of galaxies and other astrophysical
structures without requiring the dark matter hypothesis.
  By relating the MOND acceleration constant $a_{0} \simeq 1.2 \times 10^{
-10}\mbox{m}\thinspace \mbox{s}^{ -2}$ to a natural scale length $l_{0}$ of our
model, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$, and by
using the empirical Radial Acceleration Relation, we are able to explain the
connection between the observed radial acceleration $g_{obs}$ and the baryonic
radial acceleration $g_{bar}$ in terms of a variable local dimension $D$. As an
example of this methodology, we provide a detailed rotation curve fitting for
the case of the field dwarf spiral galaxy NGC 6503.
