I.INTRODUCTION FRACTIONAL calculus is about differentiation and integration of non-integer orders.Using integer-order models and controllers for complex natural or man-made systems is simply for our own convenience while the nature runs in a fractional order dynamical way.Using integer order traditiona tools for modelling and control of dynamic systems may resul in suboptimum performance,that is,using fractional order calculus tools,we could be“more optimal”as already doc- I.INTRODUCTION FRACTIONAL CALCULUS is about differentiation and integration of non-integer orders. Using integer-order models and controllers for complex natural or man-made systems is simply for our own convenience while the nature runs in a fractional order dynamical way. Use integer order traditiona tools for modeling and control of dynamic systems may resul in suboptimum performance, that is, using fractional order calculus tools, we could be “more optimal ” as already doc-