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5 Results Found

  • Article
  • Open Access
6 Citations
2,971 Views
25 Pages

Extensive research has been conducted on the scaling fractal fractor using various structures. The development of high-resolution emulator circuits to achieve a variable-order scaling fractal fractor with high resolution is a major area of interest....

  • Article
  • Open Access
1 Citations
1,784 Views
9 Pages

8 October 2022

There is an increasing number of studies in the literature to implement fractional order components by means of equivalent circuits based on integer order components. Such implementations aim to realize laboratory equipment that can exhibit a fractio...

  • Article
  • Open Access
23 Citations
4,384 Views
18 Pages

A New Look at the Capacitor Theory

  • Manuel Duarte Ortigueira,
  • Valeriy Martynyuk,
  • Volodymyr Kosenkov and
  • Arnaldo Guimarães Batista

The mathematical description of the charging process of time-varying capacitors is reviewed and a new formulation is proposed. For it, suitable fractional derivatives are described. The case of fractional capacitors that follow the Curie–von Sc...

  • Article
  • Open Access
12 Citations
3,105 Views
23 Pages

On Systematic Design of Fractional-Order Element Series

  • Jaroslav Koton,
  • David Kubanek,
  • Jan Dvorak and
  • Norbert Herencsar

9 February 2021

In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring fract...

  • Article
  • Open Access
1 Citations
1,938 Views
30 Pages

11 June 2023

When treating geomaterials, fractional derivatives are used to model anomalous dispersion or diffusion phenomena that occur when the mass transport media are anisotropic, which is generally the case. Taking into account anomalous diffusion processes,...