243 citations · 525 across the 12 of their papers we have counts for
5 papers · 1 filter
On variable-order fractional linear viscoelasticity
A. Giusti, I. Colombaro, R. Garra +2
We discuss a generalisation of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus. After reviewing the general mathematical framewor…
A note on generalized fractional diffusion equations on Poincarè half plane
R. Garra, F. Maltese, E. Orsingher
In this paper we study generalized time-fractional diffusion equations on the Poincarè half plane . The time-fractional operators here considered are fractional der…
Scott-Blair models with time-varying viscosity
Ivano Colombaro, Roberto Garra, Andrea Giusti +1
In a recent paper, Zhou et al. [Mech Time-Depend Mater (2017) 21: 151] studied the time-dependent properties of Glass Fiber Reinforced Polymers composites by employing a new rheolo…
The fractional Dodson diffusion equation: a new approach
Roberto Garra, Andrea Giusti, Francesco Mainardi
In this paper, after a brief review of the general theory concerning regularized derivatives and integrals of a function with respect to another function, we provide a peculiar fra…
The Prabhakar or three parameter Mittag--Leffler function: theory and application
Roberto Garra, Roberto Garrappa
The Prabhakar function (namely, a three parameter Mittag-Leffler function) is investigated. This function plays a fundamental role in the description of the anomalous dielectric pr…