The majority of the analog designers try to solve the problems of the analog circuits or even the digital circuits like the delay, power consumption and circuit size and complexity by proposing new circuit implementations. These designers depend on the approximations in their early stages of the design phases to obtain integer values for the results which can be implemented by their ideas. Usually these approximations affect everything in the circuit like the system budget analysis resulted in a filter of order 3.6, the designers will approximate this order to 4 to be able to implement it. On this other hand, this approximation increase the filter delay, complexity and hence the power consumption. On the other hand, a second approach of the circuit design depends on using the fractional calculus. Fractional calculus was a pure mathematical theory until some researchers discovered that they can implement electrical elements of fractional order behaviour . Hence, this fractional order element can be used to design fractional order circuits to satisfy the exact system requirements. This approach should illuminate the overhead of the time and power consumption.