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)
