2-7 September 2018
Europe/Warsaw timezone

Composite Continuous Time Random Walks

3 Sep 2018, 11:00
45m
talk Mon noon

Speaker

Prof. Rudolf Hilfer (Universitaet Stuttgart)

Description

Random walks in composite continuous time have recently been introduced in [1]. Composite time flow is the product of translational time flow and fractional time flow [2]. The continuum limit of composite continuous time random walks gives a diffusion equation where the infinitesimal generator of time flow is the sum of a first order and a fractional time derivative. The latter is specified as a generalized Riemann-Liouville derivative. Generalized and binomial Mittag-Leffler functions are found as the exact results for waiting time density and mean square displacement. [1] Eur. Phys. J. B 90, 233 (2017) [2] Chem. Phys. 84, 399 (2002)

Primary author

Prof. Rudolf Hilfer (Universitaet Stuttgart)

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