2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10,
45K05, 74D05,
The aim of this tutorial survey is to revisit the basic theory of relaxation
processes governed by linear differential equations of fractional order. The
fractional derivatives are intended both in the Rieamann-Liouville sense
and in the Caputo sense. After giving a necessary outline of the classica
theory of linear viscoelasticity, we contrast these two types of fractiona
derivatives in their ability...

2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.
After sketching the basic principles of renewal theory we discuss the
classical Poisson process and offer two other processes, namely the renewal
process of Mittag-Leffler type and the renewal process of Wright type, so
named by us because special functions of Mittag-Leffler and of Wright type
appear in the definition of the relevant waiting times. We compare these
three processes with each other, furthermore consider...

MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22
In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major
contributions during the period 1966-2010.

MSC 2010: 26A33 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversary
This paper presents a brief overview of the life story and professional
career of Prof. R. Gorenflo - a well-known mathematician, an expert in
the field of Differential and Integral Equations, Numerical Mathematics,
Fractional Calculus and Applied Analysis, an interesting conversational
partner, an experienced colleague, and a real friend. Especially his role in
the modern Fractional Calculus...

MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22
The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.

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