Linking fractional calculus to real data (Comunicazione a convegno)

Type
Label
  • Linking fractional calculus to real data (Comunicazione a convegno) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Alternative label
  • Paradisi P. (2013)
    Linking fractional calculus to real data
    in FCPNLO 2014 - Fractional Calculus, Probability and Non-local Operators: Applications and Recent Developments. A workshop on the occasion of the retirement of Francesco Mainardi, Bilbao, Spain, 6-8 November 2013
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Paradisi P. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • https://sites.google.com/site/fcpnlo/ (literal)
Note
  • PuMa (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR-ISTI, Pisa, Italy (literal)
Titolo
  • Linking fractional calculus to real data (literal)
Abstract
  • I will review some well-known theoretical findings about fractional calculus and, in particular, the links between fractal intermittency, the Continuous Time Random Walk (CTRW) model and the emergence of Fractional Diffu- sion Equations (FDE) for anomalous diffusion. In this framework, I will show how fractional operators are associated with the existence of renewal events, a typical feature of complex systems. I will also discuss the possibile connections with critical phenomena. Then, I will introduce some statistical methods allowing to understand when a real system could be described by means of fractional models. Finally, I will show some applications to real data from nano-crystal fluores- cence intermittency, human brain dynamics and atmospheric turbulence. (literal)
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