4 citations · 10 across the 9 of their papers we have counts for
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Pulse waves in the viscoelastic Kelvin-Voigt model: a revisited approach
Juan Luis Gonzalez-Santander, Francesco Mainardi, Andrea Mentrelli
We calculate the mechanical response ) of an initially quiescent semi-infinite homogeneous medium to a pulse applied at the origin, and this is achieved within the framework…
Transient waves in linear dispersive media with dissipation: an approach based on the steepest descent path
Francesco Mainardi, Andrea Mentrelli, Juan Luis Gonza'les Santander
In the study of linear dispersive media it is of primary interest to gain knowledge of the impulse response of the material. The standard approach to compute the response involves…
On the Laplace transforms of derivatives of special functions with respect to parameters
Sergei Rogosin, Filippo Giraldi, Francesco Mainardi
This article is devoted to derivation of the Laplace transforms of the derivatives with respect to parameters of certain special functions, namely, the Mittag-Leffler type, Wright…
Some fractional integral and derivative formulas revisited
Juan Luis Gonzales-Santander, Francesco Mainardi
In the most common literature about fractional calculus, we find that is assumed implicitly in the tables of frac…
On differentiation with respect to parameters of the functions of the Mittag-Leffler type
Sergei V. Rogosin, Filippo Giraldi, Francesco Mainardi
The formal term-by-term differentiation with respect to parameters is demonstrated to be legitimate for the Mittag-Leffler type functions. The justification of differentiation form…