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.
Transient Analysis of Fractional Relaxation via Symbolic Analysis Program
Garrappa, Roberto;
2025-01-01
Abstract
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.File in questo prodotto:
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