E
Enzo Orsingher
Researcher at Sapienza University of Rome
Publications - 194
Citations - 3642
Enzo Orsingher is an academic researcher from Sapienza University of Rome. The author has contributed to research in topics: Brownian motion & Fractional calculus. The author has an hindex of 30, co-authored 189 publications receiving 3251 citations. Previous affiliations of Enzo Orsingher include University of Salerno.
Papers
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Time-fractional telegraph equations and telegraph processes with brownian time
Enzo Orsingher,Luisa Beghin +1 more
TL;DR: In this paper, the fundamental solutions to time-fractional telegraph equations of order 2α were studied and the Fourier transform of the solutions for any α and the representation of their inverse, in terms of stable densities, was given.
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Fractional Poisson processes and related planar random motions
Luisa Beghin,Enzo Orsingher +1 more
TL;DR: In this article, three different fractional versions of the standard Poisson process and some related results concerning the distribution of order statistics and the compound poisson process are presented, and a planar random motion described by a particle moving at finite velocity and changing direction at times spaced by fractional Poisson processes is presented.
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Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchoff's laws
TL;DR: In this paper, the explicit form of the probability law and the associated flow function of a random motion governed by the telegraph equation are derived and connections of this law with the transition function of Brownian motion are explored.
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Fractional diffusion equations and processes with randomly varying time.
Enzo Orsingher,Luisa Beghin +1 more
TL;DR: In this paper, the authors analyzed the solutions of fractional diffusion equations of order 0 < v ≤ 2 and interpreted them as densities of the composition of various types of stochastic processes.
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The space-fractional Poisson process
Enzo Orsingher,Federico Polito +1 more
TL;DR: In this paper, the authors introduce the space-fractional Poisson process whose state probabilities p, t, t > 0, � 2 (0,1), are governed by the equations (d/dt)pk(t) = � � (1 B)p � (t), where (B) is the fractional difference operator found in the study of time series analysis.