Fractional vs. Ordinary Control Systems: What Does the Fractional Derivative Provide?

The concept of a fractional derivative is not at all intuitive, starting with having clear geometrical interpretation. Many different definitions have appeared, to the point that need for order has arisen in field. diversity potential applications even more overwhelming. When modeling problem, one must think carefully about what introduction derivatives model can provide was already adequately covered by classical models integer derivatives. In this work, we present some examples from control theory where insist on importance non-local character operators and their suitability phenomena either space (action distance) or time (memory effects). contrast, when encounter completely nonlinear phenomena, does better results further insight. Of course, both coexist interact, as case hysteresis, then would be dealing models.