18-21 September 2019
Kraków
Europe/Warsaw timezone

The Volterra type equation related to the non-Debye relaxation

20 Sep 2019, 10:40
20m
Kraków

Kraków

Talk Session 5

Speaker

Dr. Katarzyna Górska (INP PAS)

Description

I will present the solutions of Volterra equations with the fading memory given by the Prabhakar function with negative upper parameter which is relevant to the standard non-Debye models of dielectric relaxation, namely for the Cole-Cole, Cole-Davidson, and Havriliak-Negami models. These integro-differential equations are solved by using the umbral calculus and Laplace transform method whose results are identically for the same fixed values of the used parameters.

Primary author

Dr. Katarzyna Górska (INP PAS)

Presentation Materials

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