Disclosed is a fractional order capacitor comprising a dielectric nanocomposite layer of thickness t, comprising a first side, and a second side opposite the first side, a first electrode layer coupled to the first side of the dielectric nanocomposite layer, a second electrode layer coupled to the second side of the dielectric nanocomposite layer, a complex impedance phase angle dependent on at least a material weight percentage of filler material in a dielectric nanocomposite layer.