4 citations · 10 across the 9 of their papers we have counts for
10 papers
On the role of Giovanni Giorgi in the history of operational methods to mathematical-physics problems
R. Garra, F. Mainardi
In this paper we discuss the historical role played by Prof. Giovanni Giorgi (1871-1950) in the development of operational methods in mathematical physics. In the literature, the a…
Energy dissipation in linear viscoelasticity
Juan Luis Gonzalez-Santander, Francesco Mainardi
We compare the specific dissipation for the Becker, Lomnitz, and Lambert models in linear viscoelasticity. Graphically, the specific dissipation of these m…
Delta-pulse solution in Zener viscoelastic model
Andrea Mentrelli, Juan Luis Gonzalez-Santander, Francesco Mainardi
We derive the integral representation of the solution for the propagation of a delta-pulse (impulsive wave) in a semi-infinite, homogeneous, linear viscoelastic medium governed by…
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…
A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models
Juan Luis Gonzales Santander, Francesco Mainardi
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this compar…
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…
Calculation of the Relaxation Modulus in the Andrade Model by Using the Laplace Transform
Juan Luis González-Santander, Giorgio Spada, Francesco Mainardi +1
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model for the case of…