ICFDA'14 semiplenary talk:

Mark M. Meerschaert
Title: Tempered Fractional Calculus
Abstract: Fractional derivatives and integrals are convolutions with a
power law. Including an exponential term leads to tempered fractional
derivatives and integrals. Tempered stable processes are the limits of
random walk models where the power law probability of long jumps is tempered
by an exponential factor. These random walks converge to tempered stable
stochastic process limits, whose probability densities solve tempered
fractional diffusion equations. Tempered power law waiting times lead to
tempered fractional time derivatives, which have proven useful in
geophysics. A tempered GrunwaldLetnikov formula provides the basis for
finite difference methods to solve tempered diffusion equations. Tempered
fractional Brownian motion, the tempered fractional integral or derivative
of a Brownian motion, is a new stochastic process that can exhibit semilong
range dependence. The increments of this process, called tempered
fractional Gaussian noise, provide a useful new stochastic model for wind
speed data, consistent with the Davenport spectrum.


Todd Freeborn
Title: FractionalOrder Circuits: Stateofthe Art Design and
Applications
Abstract: FractionalOrder Circuits have lately gained increased attention as
they show a wide range of applications ranging from modeling of
biomedical tissues and organs, modeling of supercapacitors and fuel
cells to the design of fractionalstep analog filters and
ultrahighfrequency oscillators. The purpose of this talk is to offer a
survey of the stateofthe art in FractionalOrder Circuit Design and
applications highlighting the fast progress that has been achieved in
the fabrication of fractional capacitors and the diagnosis of a number
of diseases using noninvasive electrical devices based on
fractionalorder circuit models.


Teodor Atanackovic
Title: Linear viscoelasticity of real and complex fractional order
Abstract:
Although one of the first area where fractional derivatives of real order are used, the application of complex order fractional derivatives in linear viscoleasticity is not often considered. In the presentation we shall review the real order fractional derivatives linear viscoelasticity and then consider the extension to the complex order derivatives case. Special attention will be paid to the mathematical and thermodynamical restrictions. Several examples will be treated in detail. The presentation is joint work with Sanja Konjik, S. Pilipovic and D. Zorica.


Giuseppe Nunnari
Title: Evidences of SelfOrganized Criticality in Volcanology
Abstract:
The aim of this talk is to provide evidences about the SelfOrganized Criticality (SOC) of volcanic systems. In particular, after a review of literature results, concerning the seismicity in volcanic areas and the high frequency acoustic emissions, we present some results concerning the intertime power law distribution of eruptions and explosive activity on Mt Etna and Stromboli and about lava fountains at Mt. Etna. The power laws experimentally evaluated from considered data set are reported. Results, even far to be exhaustive, may encourage some other scientists to consider SOC as a unifying approach also in the field of volcanology.
