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This paper continues previous work on a possible 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 (NFDG) is now applied to axially-symmetric stellar 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 NFDG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter (DM) hypothesis. By relating the MOND acceleration constant a_{0}

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