1 citations · 1 across the 2 of their papers we have counts for
5 papers
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 application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
J. L. González-Santander
We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special case…
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…