Introduction to Fractional-Order Elements and Devices

We introduce the motivation for the development of fractional-order elements (FOE) and fractional-order devices (FOD) derived from them. Short introductions to some of the material science and engineering applications are presented along with an introduction into the fractional calculus which has proven to be highly effective in modeling complex systems. We explore the questions of “why power–law” and “how is it useful”? Finally we introduce the concept of a fractional-order device and how it can be included in an electronic control circuit.

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