106 citations · 145 across the 2 of their papers we have counts for
3 papers
physics.flu-dyn2015★ 106 cited
A physically based connection between fractional calculus and fractal geometry
Salvatore Butera, Mario Di Paola
We show a relation between fractional calculus and fractals, based only on physical and geometrical considerations. The link has been found in the physical origins of the power-law…
math.AP2014★ 39 cited
Fractional differential equations solved by using Mellin transform
Salvatore Butera, Mario Di Paola
In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of…
cond-mat.stat-mech2009
Fractional calculus approach to the statistical characterization of random variables and vectors
Giulio Cottone, Mario Di Paola, Ralf Metzler
Fractional moments have been investigated by many authors to represent the density of univariate and bivariate random variables in different contexts. Fractional moments are indeed…