4 papers
Beta-weighted non-local differential operators and related stochastic processes
L. Beghin, N. Leonenko, T. Simon +1
In this work we introduce a class of non-local differential operators defined through a beta-weighted averaging of the ordinary derivative. We investigate their analytical properti…
Stretched non-local Pearson diffusions
Luisa Beghin, Nikolai Leonenko, Ivan Papić +1
We define a novel class of time changed Pearson diffusions, termed stretched non local Pearson diffusions, where the stochastic time change model has the Kilbas Saigo function as i…
Relaxation equations with stretched non-local operators: renewal and time-changed processes
Luisa Beghin, Nikolai Leonenko, Jayme Vaz
We introduce and study renewal processes defined by means of extensions of the standard relaxation equation through ``stretched" non-local operators (of order and with paramete…
On Fractional Spherically Restricted Hyperbolic Diffusion Random Field
Nikolai Leonenko, Andriy Olenko, Jayme Vaz
The paper investigates solutions of the fractional hyperbolic diffusion equation in its most general form with two fractional derivatives of distinct orders. The solutions are give…