MS41 - Emerging Mathematical Tools in Advanced Modelling: The Fractional-Order Calculus, in honor of Emeritus Professor Teodor Atanackovic


Mechanical description of real-world phenomena is strictly based on the well-established classification of physical actions as inertial, dissipative and elastic forces. Starting from these definition Newtonian and/or Analitical mechanics yields the governing equations of the phenomena as simple balance among these actions. The dynamic equilibrium equations or the Euler-Lagrange equations are represented by ordinary (or partial if deformed event space is involved) systems of differential equations. In recent years, however, precise observations of unconventional phenomena in different fields of mechanics, thermodynamics, electromagnetism, micro and nanoelectronics have shown that the strict classifications of forces of well-established physics is no longer efficient. Possible generalization of the physical actions still retaining the powerful tool of the balance laws is represented by fractional-order generalization introducing the emerging tool of fractional calculus. The objective of this mini-symposium is to gather scientists active in the field of fractional-order calculus to discuss the innovative features of theoretical and experimental models popping up in the last years.
Topics included in the mini-symposium but they are not limited to:
  • Automatic Control
  • Electrical Engineering
  • Electronics
  • Electromagnetism
  • Fractional-Order Calculus and Artificial Intelligence
  • Fractional-Order Dynamics and Control
  • Fractional-Order Modeling and Control in Biomedical Engineering
  • Fractional-Order Variational Principles
  • Fractional-Order Transforms and Their Applications
  • Fractional-Order Wavelet Applications to the Composite Drug Signals
  • Fractional-Order Image Processing
  • Mathematical methods
  • Mechanics
  • Physics
  • Robotics
  • Special Functions Related to Fractional Calculus
  • Thermal Engineering
  • Viscoelasticity

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