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Demonstrations and Applications of Fractional-Order Devices

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Fractional-Order Devices

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSNONLINCIRC))

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Abstract

Recent research works show a trend in generalizing integer order dynamics to the fractional-order (FO) to study the behavior of different types of natural phenomenon. The same has been witnessed for analog circuit design. A large number of works can be found in theoretical and simulation domains to understand the analog FO circuits. There are quite a good number of works demonstrating hardware implementation of such circuits. Although FO devices are still not available as commercial products, several research groups around the world are actively pursuing this goal. This chapter discusses the design and performance of some FO circuits using prototype devices through simulation and hardware realization. The study extends and generalizes the domain of circuit theory. It addresses the complexity, advantages, and disadvantages of designing analog FO circuits and, ultimately, their role in helping us understand the mathematical formulation of natural dynamics.

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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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Corresponding author

Correspondence to Riccardo Caponetto .

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Biswas, K., Bohannan, G., Caponetto, R., Mendes Lopes, A., Tenreiro Machado, J.A. (2017). Demonstrations and Applications of Fractional-Order Devices. In: Fractional-Order Devices. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-54460-1_3

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  • DOI: https://doi.org/10.1007/978-3-319-54460-1_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54459-5

  • Online ISBN: 978-3-319-54460-1

  • eBook Packages: EngineeringEngineering (R0)

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