Publications

Journal Articles


  1. [link] Studies on Generalized Yule Models. Modern Stochastics: Theory and Applications, Vol. 6 (1), 41-55, 2019.
  2. [link] 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.
  3. [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.
  4. [link] 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).
  5. [link] Generalized Nonlinear Yule Models (with P Lansky and L Sacerdote). Journal of Statistical Physics, Vol. 165 (3), 661-679, 2016.
  6. [link] Some Properties of Prabhakar-type Fractional Calculus Operators (with Z Tomovski). Fractional Differential Calculus, Vol. 6 (1), 73-94, 2016.
  7. [link] 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.
  8. [link] 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.
  9. [link] Fractional diffusions with time-varying coefficients (with R Garra and E Orsingher). Journal of Mathematical Physics, Vol. 56 (9), art. 093301, 2015.
  10. [link] 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.
  11. [link] State-dependent Fractional Point Processes (with R Garra and E Orsingher). Journal of Applied Probability, Vol. 52 (1), 18-36, 2015.
  12. [link] On Firing Rate Estimation for Dependent Interspike Intervals (with E Benedetto and L Sacerdote). Neural Computation, Vol. 27 (3), 699-724, 2015.
  13. [link] 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.
  14. [link] Hilfer-Prabhakar Derivatives and Some Applications (with R Garra, R Gorenflo and Z Tomovski). Applied Mathematics and Computation, Vol. 242, 576-589, 2014.
  15. [link] Fractional Klein-Gordon Equations and Related Stochastic Processes (with R Garra and E Orsingher). Journal of Statistical Physics, Vol. 155 (4), 777-809, 2014.
  16. [link] Parameter estimation for fractional birth and fractional death processes (with DO Cahoy). Statistics and Computing, Vol. 24 (2), 211-222, 2014.
  17. [link] On Some Operators Involving Hadamard Derivatives (with R Garra). Integral Transforms and Special Functions, Vol. 24 (10), 773-782, 2013.
  18. [link] On the integral of fractional Poisson processes (with E Orsingher). Statistics and Probability Letters, Vol. 83 (4), 1006-1017, 2013.
  19. [link] Randomly Stopped Nonlinear Fractional Birth Processes (with E Orsingher). Stochastic Analysis and Applications, Vol. 31 (2), 262-292, 2013.
  20. [link] 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.
  21. [link] 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.
  22. [link] 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.
  23. [link] Analytic solutions of fractional differential equations by operational methods (with R Garra). Applied Mathematics and Computation, Vol. 218 (1), 10642-10646, 2012.
  24. [link] Simulation and estimation for the fractional Yule process (with DO Cahoy). Methodology and Computing in Applied Probability, Vol. 14 (2), 383-403, 2012.
  25. [link] 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.
  26. [link] The space-fractional Poisson process (with E Orsingher). Statistics and Probability Letters, Vol. 82 (4), 852-858, 2012.
  27. [link] On a fractional binomial process (with DO Cahoy). Journal of Statistical Physics, Vol. 146 (3), 646-662, 2012.
  28. [link] 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.
  29. [link] On a Fractional Linear Birth-Death Process (with E Orsingher). Bernoulli, Vol. 17 (1), 114-137, 2011.
  30. [link] Fractional Non-Linear, Linear and Sublinear Death Processes (with E Orsingher and L Sakhno). Journal of Statistical Physics, Vol. 141 (1), 68-93, 2010.
  31. [link] Fractional Pure Birth Processes (with E Orsingher). Bernoulli, Vol. 16 (3), 858-881, 2010.
  32. [link] 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


  1. [link] 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.
  2. [link] 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.
  3. [link] 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.
  4. Fractional Branching Processes. PhD Thesis. Department of Statistical Sciences, "Sapienza" University of Rome, Italy, 2011.
  5. [link] 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.
  6. 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.
  7. [link] 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.

Preprints


  1. A practical guide to Prabhakar fractional calculus (with A Giusti, I Colombaro, R Garra, R Garrappa, M Popolizio and F Mainardi). Submitted.
  2. On dynamic random graphs with degree homogenization via anti-preferential attachment probabilities (with U De Ambroggio and L Sacerdote). Submitted.
  3. On the continuous-time limit of the Barabási-Albert random graph (with A Pachon and L Sacerdote), Submitted.
  4. On discrete-time semi-Markov processes (with A Pachon and C Ricciuti), Submitted.

Coauthors

Enzo Orsingher, Dexter O Cahoy, Alberto Petri, Rudolf Gorenflo, Zivorad Tomovski, Fergal Dalton, Ludmila Sakhno, Giorgio Pontuale, Roberto Garra, Luisa Andreis, Vir V Phoha, Elisa Benedetto, Laura Sacerdote, Mirko D'Ovidio, Michele Garetto, Matteo Sereno, Petr Lansky, Enrico Scalas, Angelica Pachon, Costantino Ricciuti, Umberto De Ambroggio, Andrea Giusti, Ivano Colombaro, Roberto Garrappa, Marina Popolizio, Francesco Mainardi.