Contents I. Introduction
The fractional integral and differential operators are a generalization of integration and derivation to non-integer order fractional operators. Fractional order calculus can date back to the end of the 17th century, and has existed for over 300 years. It has been established that fractional order calculus gives a more realistic modeling of systems and the best performance is achieved when a fractional order controller is employed for a fractional order system. In recent decades, the applications of fractional order in science and engineering have attracted attention from researchers in different fields. Many results have been reported for stability analysis, controller design, analysis of time and frequency domain responses of fractional order control systems, etc.
