Journal articles

• doi A fractional Hawkes process II: Further characterization of the process (with C Habyarimana, J A Aduda, E Scalas, J Chen and A G Hawkes). Physica A: Statistical Mechanics and its Applications, Vol. 615, art. 128596, 2023.
• doi Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times (with Thomas M Michelitsch and Alejandro P Riascos). Mathematics, Vol. 11 (2), 471, 2023.
• doi Squirrels can remember little: A random walk with jump reversals induced by a discrete-time renewal process (with Thomas M Michelitsch and Alejandro P Riascos). Communications in Nonlinear Science and Numerical Simulation, Vol. 118, art. 107031, 2023.
• doi Input-output consistency in perfect integrate and fire interconnected neurons (with P Lansky and L Sacerdote). Applied Mathematics and Computation, Vol. 440, art. 127630, 2023.
• doi Asymmetric random walks with bias generated by discrete-time counting processes (with Thomas M Michelitsch and Alejandro P Riascos). Communications in Nonlinear Science and Numerical Simulation, Vol. 109, art. 106121, 2022.
• doi Flexible models for overdispersed and underdispersed count data (with D Cahoy and E Di Nardo). Statistical Papers, Vol. 62, 2969-2990, 2021.
• doi A fractional generalization of the Dirichlet distribution and related distributions (with E Di Nardo and E Scalas). Fractional Calculus and Applied Analysis, Vol. 24 (1), 112-136, 2021.
• doi On Discrete Time Generalized Fractional Poisson Processes and Related Stochastic Dynamics (with Thomas M Michelitsch and Alejandro P Riascos). Physica A: Statistical Mechanics and its Applications, Vol. 565, art. 125541, 2021.
• doi On discrete-time semi-Markov processes (with A Pachon and C Ricciuti). Discrete and Continuous Dynamical Systems B, Vol. 26 (3), 1499-1529, 2021.
• doi zen Biased continuous-time random walks with Mittag-Leffler jumps (with Thomas M Michelitsch and Alejandro P Riascos). Fractal and Fractional, Vol. 4 (4), 51, 2020.
• doi On dynamic random graphs with degree homogenization via anti-preferential attachment probabilities (with U De Ambroggio and L Sacerdote). Physica D: Nonlinear Phenomena, Vol. 414, art. 132689, 2020.
• doi On the continuous-time limit of the Barabási-Albert random graph (with A Pachon and L Sacerdote). Applied Mathematics and Computation, Vol. 378, art. 125177, 2020.
• doi A practical guide to Prabhakar fractional calculus (with A Giusti, I Colombaro, R Garra, R Garrappa, M Popolizio and F Mainardi). Fractional Calculus and Applied Analysis, Vol. 23 (1), 9-54, 2020.
• doi zen Studies on Generalized Yule Models. Modern Stochastics: Theory and Applications, Vol. 6 (1), 41-55, 2019.
• doi A note on Hadamard fractional differential equations with varying coefficients and their applications in probability (with R Garra and E Orsingher). Mathematics, Vol. 6 (1), 4, 2018.
• link On a class of Time-fractional Continuous-state Branching Processes (with L Andreis and L Sacerdote). Markov Processes and Related Fields, Vol. 23 (4), 591-607, 2017.
• doi Fractional Diffusion-Telegraph Equations and their Associated Stochastic Solutions (with M D'Ovidio). Theory of Probability and its Applications, Vol. 62 (4), 692-718, 2017 (English version: Vol. 62 (4), 552-574, 2018).
• doi Generalized Nonlinear Yule Models (with P Lansky and L Sacerdote). Journal of Statistical Physics, Vol. 165 (3), 661-679, 2016.
• doi Some Properties of Prabhakar-type Fractional Calculus Operators (with Z Tomovski). Fractional Differential Calculus, Vol. 6 (1), 73-94, 2016.
• doi A Generalization of the Space-Fractional Poisson Process and its Connection to some Lévy Processes (with E Scalas). Electronic Communications in Probability, Vol. 21, art. 20, 2016.
• doi Random Graphs Associated to some Discrete and Continuous Time Preferential Attachment Models (with A Pachon and L Sacerdote). Journal of Statistical Physics, Vol. 162 (6), 1608-1638, 2016.
• doi Fractional diffusions with time-varying coefficients (with R Garra and E Orsingher). Journal of Mathematical Physics, Vol. 56 (9), art. 093301, 2015.
• doi Transient behavior of fractional queues and related processes (with DO Cahoy and V Phoha). Methodology and Computing in Applied Probability, Vol. 17 (3), 739-759, 2015.
• doi State-dependent Fractional Point Processes (with R Garra and E Orsingher). Journal of Applied Probability, Vol. 52 (1), 18-36, 2015.
• doi On Firing Rate Estimation for Dependent Interspike Intervals (with E Benedetto and L Sacerdote). Neural Computation, Vol. 27 (3), 699-724, 2015.
• doi The role of detachment of in-links in scale-free networks (with P Lansky and L Sacerdote). Journal of Physics A: Mathematical and Theoretical, Vol. 37, art. 345002, 2014.
• doi Hilfer-Prabhakar Derivatives and Some Applications (with R Garra, R Gorenflo and Z Tomovski). Applied Mathematics and Computation, Vol. 242, 576-589, 2014.
• doi Fractional Klein-Gordon Equations and Related Stochastic Processes (with R Garra and E Orsingher). Journal of Statistical Physics, Vol. 155 (4), 777-809, 2014.
• doi Parameter estimation for fractional birth and fractional death processes (with DO Cahoy). Statistics and Computing, Vol. 24 (2), 211-222, 2014.
• doi On Some Operators Involving Hadamard Derivatives (with R Garra). Integral Transforms and Special Functions, Vol. 24 (10), 773-782, 2013.
• doi On the integral of fractional Poisson processes (with E Orsingher). Statistics and Probability Letters, Vol. 83 (4), 1006-1017, 2013.
• doi Randomly Stopped Nonlinear Fractional Birth Processes (with E Orsingher). Stochastic Analysis and Applications, Vol. 31 (2), 262-292, 2013.
• doi Renewal processes based on generalized Mittag-Leffler waiting times (with DO Cahoy). Communications in Nonlinear Science and Numerical Simulation, Vol. 18 (3), 639-650, 2013.
• doi Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity (with R Garra). Communications in Nonlinear Science and Numerical Simulation, Vol. 17 (12), 5073-5078, 2012.
• doi Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes (with E Orsingher). Journal of Statistical Physics, Vol. 148 (2), 233-249, 2012.
• doi Analytic solutions of fractional differential equations by operational methods (with R Garra). Applied Mathematics and Computation, Vol. 218 (1), 10642-10646, 2012.
• doi Simulation and estimation for the fractional Yule process (with DO Cahoy). Methodology and Computing in Applied Probability, Vol. 14 (2), 383-403, 2012.
• doi Coupled systems of fractional equations related to sound propagation: analysis and discussion (with R Garra). Journal of Mathematical Physics, Vol. 53 (4), art. 043502, 2012.
• doi The space-fractional Poisson process (with E Orsingher). Statistics and Probability Letters, Vol. 82 (4), 852-858, 2012.
• doi On a fractional binomial process (with DO Cahoy). Journal of Statistical Physics, Vol. 146 (3), 646-662, 2012.
• doi A note on fractional linear pure birth and pure death processes in epidemic models (with R Garra). Physica A, Vol. 390 (21-22), 3704-3709, 2011.
• doi On a Fractional Linear Birth-Death Process (with E Orsingher). Bernoulli, Vol. 17 (1), 114-137, 2011.
• doi Fractional Non-Linear, Linear and Sublinear Death Processes (with E Orsingher and L Sakhno). Journal of Statistical Physics, Vol. 141 (1), 68-93, 2010.
• doi Fractional Pure Birth Processes (with E Orsingher). Bernoulli, Vol. 16 (3), 858-881, 2010.
• doi Analysis of Metal Cutting Acoustic Emission by Time Series Models (with A Petri, G Pontuale and F Dalton). The International Journal of Advanced Manufacturing Technology, Vol. 48 (9-12), 897-903, 2010.

Articles in conference proceedings and other publications

• doi Prabhakar discrete-time generalization of the time-fractional Poisson process and related random walks (with Thomas M Michelitsch and Alejandro P Riascos). Proceedings of the International Conference on Fractional Differentiation and Its Applications (ICFDA), September 6--8, LNNS 452, 125--131, Springer, 2021.
• doi Fractional Klein-Gordon equation for linear dispersive phenomena: analytical methods and applications (with R Garra and E Orsingher), Proceedings of the International Conference on Fractional Differentiation and Its Applications (ICFDA), 1-6, Catania, Italy, 2014.
• doi Discussion on the paper "On Simulation and Properties of the Stable Law by L. Devroye and L. James" (with M D'Ovidio). Statistical Methods and Applications, Vol. 23 (3), 359-363, 2014.
• doi Superprocesses as models for information dissemination in the Future Internet (with L Sacerdote, M Garetto and M Sereno), Proceedings of Mathematical Models and Methods for Planet Earth, 157-170, Springer, 2014.
• Fractional Branching Processes. PhD Thesis. Department of Statistical Sciences, "Sapienza" University of Rome, Italy, 2011.
• doi Composition of Poisson Processes (with E Orsingher). Proceedings of the XIV International EM Conference on Eventological Mathematics and Related Fields, 13-18 Krasnoyarsk, Russia, 2010.
• A Brief Review on Some Fractional Point Processes (with E Orsingher). Proceedings of the PCI2010 Third International Conference, Vol. 2, 14-19, Baku, Azerbaijan, 2010.
• doi Some results on time-varying fractional partial differential equations and birth-death processes (with E Orsingher). Proceedings of the XIII International EM Conference on Eventological Mathematics and Related Fields, 23-27, Krasnoyarsk, Russia, 2009.