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<p>This paper presents fractional derivatives and their applications in several fields related to Mechanical Engineering. Fractional derivatives are introduced using a general framework, based upon the principles of signal processing, from which both continuous time and discrete time (Euler and Tustin) formulations can be derived. In this way, it is possible to arrive at formulations from fractional order dynamic systems that keep, as much as possible, the properties of those with integer order derivatives only. The applications in Mechanical Engineering considered are in the areas of viscoelasticity, wave breakers, control electronics, car suspension, EEG data treatment, wind turbulence, and heat transfer.</p>

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Fractional Signal Processing and its Applications in Mechanical Engineering

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Manuel D. Ortigueira,
  • Duarte Valério

摘要

This paper presents fractional derivatives and their applications in several fields related to Mechanical Engineering. Fractional derivatives are introduced using a general framework, based upon the principles of signal processing, from which both continuous time and discrete time (Euler and Tustin) formulations can be derived. In this way, it is possible to arrive at formulations from fractional order dynamic systems that keep, as much as possible, the properties of those with integer order derivatives only. The applications in Mechanical Engineering considered are in the areas of viscoelasticity, wave breakers, control electronics, car suspension, EEG data treatment, wind turbulence, and heat transfer.