235 citations · 1.4k across the 47 of their papers we have counts for
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Fractional Klein-Gordon equation for linear dispersive phenomena: analytical methods and applications
Roberto Garra, Enzo Orsingher, Federico Polito
In this paper we discuss some exact results related to the fractional Klein--Gordon equation involving fractional powers of the D'Alembert operator. By means of a space-time transf…
On Some Operators Involving Hadamard Derivatives
Roberto Garra, Federico Polito
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivativ…
Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity
Roberto Garra, Federico Polito
In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behavio…
Analytic solutions of fractional differential equations by operational methods
Roberto Garra, Federico Polito
We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we d…
Coupled systems of fractional equations related to sound propagation: analysis and discussion
Roberto Garra, Federico Polito
In this note we analyse the propagation of a small density perturbation in a one-dimensional compressible fluid by means of fractional calculus modelling, replacing thus the ordina…