R
Roberto Garra
Researcher at Sapienza University of Rome
Publications - 100
Citations - 1606
Roberto Garra is an academic researcher from Sapienza University of Rome. The author has contributed to research in topics: Fractional calculus & Nonlinear system. The author has an hindex of 19, co-authored 91 publications receiving 1223 citations. Previous affiliations of Roberto Garra include Basque Center for Applied Mathematics.
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Hilfer–Prabhakar derivatives and some applications
TL;DR: A generalization of Hilfer derivatives in which Riemann–Liouville integrals are replaced by more general Prabhakar integrals is presented, which shows some applications in classical equations of mathematical physics such as the heat and the free electron laser equations.
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The Prabhakar or three parameter Mittag-Leffler function: Theory and application
Roberto Garra,Roberto Garrappa +1 more
TL;DR: The Prabhakar function, a three parameter Mittag–Leffler function, is investigated and the asymptotic expansion for large arguments is investigated in the whole complex plane and, with major emphasis, along the negative semi-axis.
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Hydrodynamic and suspended sediment transport controls on river mouth morphology
Federico Falcini,Anastasia Piliouras,Roberto Garra,Adrien Guérin,Douglas J. Jerolmack,Joel C. Rowland,Chris Paola +6 more
TL;DR: In this article, a generalized 2.5-dimensional potential vorticity (PV) theory was proposed to explain sedimentation patterns of a sediment-laden stationary jet by coupling an understanding of vortic with suspended sediment concentration fields.
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A practical guide to Prabhakar fractional calculus
Andrea Giusti,Ivano Colombaro,Roberto Garra,Roberto Garrappa,Federico Polito,Marina Popolizio,Francesco Mainardi +6 more
TL;DR: The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus as mentioned in this paper, and the Prabhakar function is a generalization of this function.
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On some operators involving Hadamard derivatives
Roberto Garra,Federico Polito +1 more
TL;DR: In this article, a Mittag-Leffler-type function is introduced and its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or hyper-Bessel-type operators.