Newtonian Fractional-Dimension Gravity and Rotationally Supported
  Galaxies
  We continue our analysis of Newtonian Fractional-Dimension Gravity, an
extension of the standard laws of Newtonian gravity to lower dimensional spaces
including those with fractional (i.e., non-integer) dimension. We apply our
model to three rotationally supported galaxies: NGC 7814 (Bulge-Dominated
Spiral), NGC 6503 (Disk-Dominated Spiral), and NGC 3741 (Gas-Dominated Dwarf).
  As was done in the general cases of spherically-symmetric and
axially-symmetric structures, which were 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 explains the
observed properties of these galaxies without requiring the Dark Matter
hypothesis.
  In our model, the MOND acceleration constant $a_{0} \simeq 1.2 \times
10^{-10}\mbox{m}\thinspace \mbox{s}^{ -2}$ can be related to a natural scale
length $l_{0}$, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$.
Also, the empirical Radial Acceleration Relation, connecting the observed
radial acceleration $g_{obs}$ with the baryonic one $g_{bar}$, can be explained
in terms of a variable local dimension $D$. As an example of this methodology,
we provide detailed rotation curve fits for the three galaxies mentioned above.
