130 citations · 710 across the 67 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…
Counting processes with Bernštein intertimes and random jumps
Enzo Orsingher, Bruno Toaldo
We consider here point processes , , with independent increments and integer-valued jumps whose distribution is expressed in terms of Bernštein functions with Lévy…
Random flights governed by Klein-Gordon-type partial differential equations
R. Garra, E. Orsingher
In this paper we study random flights in R^d with displacements possessing Dirichlet distributions of two different types and uniformly oriented. The randomization of the number of…
Fractional Klein-Gordon equations and related stochastic processes
Roberto Garra, Enzo Orsingher, Federico Polito
This paper presents finite-velocity random motions driven by fractional Klein-Gordon equations of order . A key tool in the analysis is played by the McBride's theory w…
Pseudoprocesses related to space-fractional higher-order heat-type equations
Enzo Orsingher, Bruno Toaldo
In this paper we construct pseudo random walks (symmetric and asymmetric) which converge in law to compositions of pseudoprocesses stopped at stable subordinators. We find the high…
Fractional Non-Linear, Linear and Sublinear Death Processes
Enzo Orsingher, Federico Polito, Ludmila Sakhno
This paper is devoted to the study of a fractional version of non-linear $\mathpzc{M}^ν(t)$, , linear , and sublinear , death processes.…