242 citations · 2.5k across the 69 of their papers we have counts for
5 papers · 2 filters
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…
Prabhakar-like fractional viscoelasticity
Andrea Giusti, Ivano Colombaro
The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwel…
On transient waves in linear viscoelasticity
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
The aim of this paper is to present a comprehensive review of method of the wave-front expansion, also known in the literature as the Buchen-Mainardi algorithm. In particular, many…
Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
In this paper we discuss some properties of linear fractional dispersive waves. In particular, we compare the dispersion relations emerging from the kinematic wave equation and fro…
On infinite order differential operators in fractional viscoelasticity
Andrea Giusti
In this paper we discuss some general properties of viscoelastic models defined in terms of constitutive equations involving infinitely many derivatives (of integer and fractional…