Detail publikačního výsledku

Transient Analysis of Fractional Relaxation via Symbolic Analysis Program

BIOLEK, D.; KOLKA, Z.; GARRAPPA, R.; BIOLKOVÁ, V.

Originální název

Transient Analysis of Fractional Relaxation via Symbolic Analysis Program

Anglický název

Transient Analysis of Fractional Relaxation via Symbolic Analysis Program

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

This paper presents a transient analysis of processes in electrochemical and related systems, modeled using impedance elements of the Gerischer, Cole-Davidson, and Havriliak-Negami types. The analysis is performed in two steps within a hybrid symbolic/numerical computation environment: 1. An analytical expression of the system response is derived using the Prahbakar function. 2. This expression is then converted into a numerical form using a robust algorithm for evaluating Mittag-Leffler functions. The procedure is demonstrated through examples of fractional-order processes encountered in engineering practice.

Anglický abstrakt

This paper presents a transient analysis of processes in electrochemical and related systems, modeled using impedance elements of the Gerischer, Cole-Davidson, and Havriliak-Negami types. The analysis is performed in two steps within a hybrid symbolic/numerical computation environment: 1. An analytical expression of the system response is derived using the Prahbakar function. 2. This expression is then converted into a numerical form using a robust algorithm for evaluating Mittag-Leffler functions. The procedure is demonstrated through examples of fractional-order processes encountered in engineering practice.

Klíčová slova

impedance spectroscopy, diffusion, relaxation, fractional order, Havriliak-Negami, Cole-Davidson, Mittag-Leffler function

Klíčová slova v angličtině

impedance spectroscopy, diffusion, relaxation, fractional order, Havriliak-Negami, Cole-Davidson, Mittag-Leffler function

Autoři

BIOLEK, D.; KOLKA, Z.; GARRAPPA, R.; BIOLKOVÁ, V.

Rok RIV

2026

Vydáno

01.01.2025

Nakladatel

IEEE

Místo

NEW YORK

ISBN

979-8-3315-7676-9

Kniha

International Conference on Ultra Modern Telecommunications and Control Systems & Workshops

Strany od

113

Strany do

117

Strany počet

5

URL

https://doi.org/10.1109/ICUMT67815.2025.11268795

BibTex

@inproceedings{BUT201654,
  author="Dalibor {Biolek} and Zdeněk {Kolka} and  {} and Viera {Biolková}",
  title="Transient Analysis of Fractional Relaxation via Symbolic Analysis Program",
  booktitle="International Conference on Ultra Modern Telecommunications and Control Systems & Workshops",
  year="2025",
  pages="113--117",
  publisher="IEEE",
  address="NEW YORK",
  doi="10.1109/ICUMT67815.2025.11268795",
  isbn="979-8-3315-7676-9",
  url="https://doi.org/10.1109/ICUMT67815.2025.11268795"
}