Publications

  Journal articles[12]☵

    * [13]∞ 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.
    * [14]∞ On discrete-time semi-Markov processes (with A Pachon and C
      Ricciuti). To appear in Discrete and Continuous Dynamical Systems
      B, 2020.
    * [15]∞ 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.
    * [16]∞ Studies on Generalized Yule Models. Modern Stochastics:
      Theory and Applications, Vol. 6 (1), 41-55, 2019.
    * [17]∞ 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.
    * [18]∞ 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.
    * [19]∞ 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).
    * [20]∞ Generalized Nonlinear Yule Models (with P Lansky and L
      Sacerdote). Journal of Statistical Physics, Vol. 165 (3), 661-679,
      2016.
    * [21]∞ Some Properties of Prabhakar-type Fractional Calculus
      Operators (with Z Tomovski). Fractional Differential Calculus, Vol.
      6 (1), 73-94, 2016.
    * [22]∞ 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.
    * [23]∞ 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.
    * [24]∞ Fractional diffusions with time-varying coefficients (with R
      Garra and E Orsingher). Journal of Mathematical Physics, Vol. 56
      (9), art. 093301, 2015.
    * [25]∞ 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.
    * [26]∞ State-dependent Fractional Point Processes (with R Garra and
      E Orsingher). Journal of Applied Probability, Vol. 52 (1), 18-36,
      2015.
    * [27]∞ On Firing Rate Estimation for Dependent Interspike Intervals
      (with E Benedetto and L Sacerdote). Neural Computation, Vol. 27
      (3), 699-724, 2015.
    * [28]∞ 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.
    * [29]∞ Hilfer-Prabhakar Derivatives and Some Applications (with R
      Garra, R Gorenflo and Z Tomovski). Applied Mathematics and
      Computation, Vol. 242, 576-589, 2014.
    * [30]∞ Fractional Klein-Gordon Equations and Related Stochastic
      Processes (with R Garra and E Orsingher). Journal of Statistical
      Physics, Vol. 155 (4), 777-809, 2014.
    * [31]∞ Parameter estimation for fractional birth and fractional
      death processes (with DO Cahoy). Statistics and Computing, Vol. 24
      (2), 211-222, 2014.
    * [32]∞ On Some Operators Involving Hadamard Derivatives (with R
      Garra). Integral Transforms and Special Functions, Vol. 24 (10),
      773-782, 2013.
    * [33]∞ On the integral of fractional Poisson processes (with E
      Orsingher). Statistics and Probability Letters, Vol. 83 (4),
      1006-1017, 2013.
    * [34]∞ Randomly Stopped Nonlinear Fractional Birth Processes (with E
      Orsingher). Stochastic Analysis and Applications, Vol. 31 (2),
      262-292, 2013.
    * [35]∞ 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.
    * [36]∞ 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.
    * [37]∞ 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.
    * [38]∞ Analytic solutions of fractional differential equations by
      operational methods (with R Garra). Applied Mathematics and
      Computation, Vol. 218 (1), 10642-10646, 2012.
    * [39]∞ Simulation and estimation for the fractional Yule process
      (with DO Cahoy). Methodology and Computing in Applied Probability,
      Vol. 14 (2), 383-403, 2012.
    * [40]∞ 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.
    * [41]∞ The space-fractional Poisson process (with E Orsingher).
      Statistics and Probability Letters, Vol. 82 (4), 852-858, 2012.
    * [42]∞ On a fractional binomial process (with DO Cahoy). Journal of
      Statistical Physics, Vol. 146 (3), 646-662, 2012.
    * [43]∞ 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.
    * [44]∞ On a Fractional Linear Birth-Death Process (with E
      Orsingher). Bernoulli, Vol. 17 (1), 114-137, 2011.
    * [45]∞ Fractional Non-Linear, Linear and Sublinear Death Processes
      (with E Orsingher and L Sakhno). Journal of Statistical Physics,
      Vol. 141 (1), 68-93, 2010.
    * [46]∞ Fractional Pure Birth Processes (with E Orsingher).
      Bernoulli, Vol. 16 (3), 858-881, 2010.
    * [47]∞ 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[48]☵

    * [49]∞ 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.
    * [50]∞ 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.
    * [51]∞ 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.
    * [52]∞ 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.
    * [53]∞ 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[54]☵

    * On Discrete Time Generalized Fractional Poisson Processes and
      Related Stochastic Dynamics (with Thomas M Michelitsch and
      Alejandro P Riascos), Submitted.
    * Flexible models for overdispersed and underdispersed count data
      (with D Cahoy and E Di Nardo), Submitted.
    * On dynamic random graphs with degree homogenization via
      anti-preferential attachment probabilities (with U De Ambroggio and
      L Sacerdote), Submitted.

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