Abstract: In this Article various methods for realization of fractional element has been presented. This Article brings lot of facts and information for those researchers who are going to begin their research work in the field of fractional calculus and fractional circuits. A lot of motivation and direction for beginners has been given in this article. Also the application and advantages of fractional order over integer order systems for control system, signal processing and biomedicine has been discussed. This Article will validate the advantages of mathematics and will shows the relationship of mathematics with circuits designing. This work will also attract our researchers toward mathematics. The application of fractional element is verified using MATLAB software.

Keywords: Fractional Calculus, FO low pass filter, Continued fraction expansion, rational approximation.