The paper aims at various techniques to approximate fractional capacitor using passive elements. The fractional capacitors have been used to implement an astable multivibrator, sinusoidal oscillator, function generator and filters. PSPICE simulation results have been shown for the circuits both with and without using the fractional capacitors. By comparing the simulation results, it can be shown that on employing a fractional capacitor, the frequency of the multivibrator and oscillators as well as the bandwidth of the filters have improved by a factor as high as 1000 compared to if a normal capacitor of the same value is employed.