F
Francesco Mainardi
Researcher at University of Bologna
Publications - 269
Citations - 24484
Francesco Mainardi is an academic researcher from University of Bologna. The author has contributed to research in topics: Fractional calculus & Random walk. The author has an hindex of 66, co-authored 264 publications receiving 22022 citations. Previous affiliations of Francesco Mainardi include Istituto Nazionale di Fisica Nucleare.
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A new dissipation model based on memory mechanism
TL;DR: The model of dissipation based on memory introduced by Caputo is generalized and checked with experimental dissipation curves of various materials.
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The fundamental solutions for the fractional diffusion-wave equation
TL;DR: In this paper, it was shown that the fundamental solutions of the basic Cauchy and signalling problems can be expressed in terms of an auxiliary function M(z;β), where z = |x| t β is the similarity variable.
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On Mittag-Leffler-type functions in fractional evolution processes
TL;DR: In this article, a variety of fractional evolution processes are reviewed, whose solutions turn out to be related to Mittag-Leffler-type functions, and the chosen equations are the simplest of the fractional calculus and include the Abel integral equations of the second kind.
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Fractional calculus and continuous-time finance II: the waiting-time distribution
TL;DR: In this article, the authors complement the theory of tick-by-tick dynamics of financial markets based on a continuous-time random walk (CTRW) model, and point out its consistency with the behaviour observed in the waiting-time distribution for BUND future prices traded at LIFFE, London.