In this study, nonlocal vibration analyses of 3-D plates modeled are performed with the help of fractional mechanics. The Riesz-Caputo fractional derivative is used to define nonlocality without using kernel functions. The frequency spectrum and mode shapes of the plates are investigated for different fractional derivative orders and different length scale parameters (l). The main contributions of these studies are that the nonlocal approach considering fractional analysis gives results closer to the experimental results than the classical theory.