Gerd Baumann

Department of Mathematical Physics, University of Ulm, Albert-Einstein-Allee
11, D-89069 Ulm, Germany

**Abstract**

Over the last two decades anomalous relaxation and diffusion processes
have been studied from both the experimental and theoretical point of view.
Anomalous transport processes occur usually in so-called complex, i.e.
in disordered systems. Here, we review some recent developments in modeling
non-standard relaxation and diffusion equations based on Riemann-Liouville
fractional calculus techniques. Closed analytical expressions of the solutions
of such fractional differential equations are given in terms of Fox's H-functions.
The analytical calculations carried out are fully supported by our *Mathematica
*package *FractionalCalculus*.