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Introduction to Fractional-Order Elements and Devices

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Fractional-Order Devices

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Abstract

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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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Karabi Biswas

  2. Department of Physics and Materials Science, University of Memphis, Memphis, TN, USA

    Gary Bohannan

  3. Department of Electrical, Electronics and Computer Engineering, University of Catania, Catania, Italy

    Riccardo Caponetto

  4. UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Porto, Portugal

    António Mendes Lopes

  5. Department of Electrical Engineering, Institute of Engineering of Polytechnic of Porto, Porto, Portugal

    José António Tenreiro Machado

Authors
  1. Karabi Biswas
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  2. Gary Bohannan
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  3. Riccardo Caponetto
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  4. António Mendes Lopes
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  5. José António Tenreiro Machado
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Correspondence to Riccardo Caponetto .

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Biswas, K., Bohannan, G., Caponetto, R., Mendes Lopes, A., Tenreiro Machado, J.A. (2017). Introduction to Fractional-Order Elements and Devices. In: Fractional-Order Devices. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-54460-1_1

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  • DOI: https://doi.org/10.1007/978-3-319-54460-1_1

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  • Online ISBN: 978-3-319-54460-1

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