Demonstrations and Applications of Fractional-Order Devices

  • Karabi Biswas
  • Gary Bohannan
  • Riccardo CaponettoEmail author
  • António Mendes Lopes
  • José António Tenreiro Machado
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


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.


Integer Order Fractional Domain Rotary Flexible Joint Circuit Demonstration Operational Amplifier Circuit 
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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Karabi Biswas
    • 1
  • Gary Bohannan
    • 2
  • Riccardo Caponetto
    • 3
    Email author
  • António Mendes Lopes
    • 4
  • José António Tenreiro Machado
    • 5
  1. 1.Department of Electrical EngineeringIndian Institute of Technology KharagpurKharagpurIndia
  2. 2.Department of Physics and Materials ScienceUniversity of MemphisMemphisUSA
  3. 3.Department of Electrical, Electronics and Computer EngineeringUniversity of CataniaCataniaItaly
  4. 4.UISPA–LAETA/INEGIFaculty of Engineering, University of PortoPortoPortugal
  5. 5.Department of Electrical EngineeringInstitute of Engineering of Polytechnic of PortoPortoPortugal

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