3-4 December 2020
Europe/Warsaw timezone

Anomalous Diffusion and Generalized Cattaneo Equation

4 Dec 2020, 09:30
20m
20 minute talk S4

Speaker

Katarzyna Gorska (Institute of Nuclear Physics, Polish Academy of Sciences)

Description

The generalized Cattaneo equation (GTE) involving memory effect is introduced by smearing the time derivatives. Consistency conditions which the smearing functions obey restrict freedom in their choice. The proposed scheme goes beyond the approach based on using fractional derivatives. I present the conditions under which solutions of the GTE can be recognized as probability distribution, i.e. are normalizable and nonnegative on their domain.

Primary author

Katarzyna Gorska (Institute of Nuclear Physics, Polish Academy of Sciences)

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