Journal Articles

  1. [link] Generalized Nonlinear Yule Models (with P Lansky and L Sacerdote). Journal of Statistical Physics, Vol. 165 (3), 661-679, 2016.
  2. [link] Some Properties of Prabhakar-type Fractional Calculus Operators (with Z Tomovski). Fractional Differential Calculus, Vol. 6 (1), 73-94, 2016.
  3. [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. 
  4. [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.
  5. [link] Fractional diffusions with time-varying coefficients (with R Garra and E Orsingher). Journal of Mathematical Physics, Vol. 56 (9), art. 093301, 2015.
  6. [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.
  7. [link] State-dependent Fractional Point Processes (with R Garra and E Orsingher). Journal of Applied Probability, Vol. 52 (1), 18-36, 2015.
  8. [link] On Firing Rate Estimation for Dependent Interspike Intervals (with E Benedetto and L Sacerdote). Neural Computation, Vol. 27 (3), 699-724, 2015.
  9. [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.
  10. [link] Hilfer-Prabhakar Derivatives and Some Applications (with R Garra, R Gorenflo and Z Tomovski). Applied Mathematics and Computation, Vol. 242, 576-589, 2014.
  11. [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.
  12. [link] Parameter estimation for fractional birth and fractional death processes (with DO Cahoy). Statistics and Computing, Vol. 24 (2), 211-222, 2014.
  13. [link] On Some Operators Involving Hadamard Derivatives (with R Garra). Integral Transforms and Special Functions, Vol. 24 (10), 773-782, 2013.
  14. [link] On the integral of fractional Poisson processes (with E Orsingher). Statistics and Probability Letters, Vol. 83 (4), 1006-1017, 2013.
  15. [link] Randomly Stopped Nonlinear Fractional Birth Processes (with E Orsingher). Stochastic Analysis and Applications, Vol. 31 (2), 262-292, 2013. 
  16. [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.
  17. [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.
  18. [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.
  19. [link] Analytic solutions of fractional differential equations by operational methods (with R Garra). Applied Mathematics and Computation, Vol. 218 (1), 10642-10646, 2012.
  20. [link] Simulation and estimation for the fractional Yule process (with DO Cahoy). Methodology and Computing in Applied Probability, Vol. 14 (2), 383-403, 2012.
  21. [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.
  22. [link] The space-fractional Poisson process (with E Orsingher). Statistics and Probability Letters, Vol. 82 (4), 852-858, 2012.
  23. [link] On a fractional binomial process (with DO Cahoy). Journal of Statistical Physics, Vol. 146 (3), 646-662, 2012.
  24. [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.
  25. [link] On a Fractional Linear Birth-Death Process (with E Orsingher). Bernoulli, Vol. 17 (1), 114-137, 2011.
  26. [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.
  27. [link] Fractional Pure Birth Processes (with E Orsingher). Bernoulli, Vol. 16 (3), 858-881, 2010.
  28. [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. On a class of Time-fractional Continuous-state Branching Processes (with L Andreis and L Sacerdote), Submitted.
  2. On the continuous-time limit of the Barabási-Albert random graph (with A Pachon and L Sacerdote), Submitted.
  3. Fractional Diffusion-Telegraph Equations and their Associated Stochastic Solutions (with M D'Ovidio), 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.