4 citations · 10 across the 9 of their papers we have counts for
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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…