Laurea Thesis, 2000, Department of Physics, University of Bologna,
Generalized Equations for Anomalous Diffusion and Their Fundamental Solutions. (In Italian)
PhD Thesis, 2005, Faculty of Environmental Sciences, University of Urbino,
Stochastic Models for Turbulent Dispersion of Pollutants in Geophysical Fluids. (In Italian)
Peer-Reviewed Articles [2013][2012][2011][2010][2009][2008] [2007][2006][2005][2004] [2003][2002][2001]
Proceedings [2012][2011][2010][2009] [2007][2003][2002]
Non Peer-Reviewed Papers [2012]
Peer-Reviewed Articles
2013
Pagnini G., Mura A., Mainardi F.,
Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes.
Phil. Trans. R. Soc. A. Accepted for publication.
2012
Pagnini G.,
Erdélyi-Kober fractional diffusion.
Fract. Calc. Appl. Anal. 15, 117-127 (2012)
Pagnini G., Mura A., Mainardi F.,
Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion.
Int. J. Stoch. Anal. 2012, 427383 (2012)
2011
Pagnini G., Bonomi E.,
Lagrangian formulation of turbulent premixed combustion.
Phys. Rev. Lett. 107, 044503 (2011) arXiv:1106.5009
Pagnini G.,
The evolution equation for the radius of a premixed flame ball in fractional diffusive media.
Eur. Phys. J. Special Topics 193, 105-117 (2011)
Zimont V.L., Pagnini G.,
Lagrangian properties of turbulent diffusion with passive
chemical reaction in the framework of the premixed combustion theory.
Phys. Fluids. 23, 035101 (2011)
Pagnini G.,
Nonlinear time-fractional differential equations in combustion science.
Fract. Calc. Appl. Anal. 14, 80-93 (2011)
Saxena R.K., Pagnini G.,
Exact solutions of triple-order time-fractional differential equations
for anomalous relaxation and diffusion I: the accelerating case.
Physica A 390, 602-613 (2011)
2010
Pagnini G., Strada S., Maurizi A., Tampieri F.,
Lagrangian stochastic modelling for oil spills turbulent dispersion on ocean surface.
Comm. Appl. Ind. Math. 1, 185-204 (2010)
Pagnini G., Mainardi F.,
Evolution equations for the probabilistic generalization of the Voigt profile function.
J. Computational and Appl. Mathematics 233, 1590-1595 (2010)
Mainardi F., Mura A., Pagnini G.,
The M-Wright function in time-fractional diffusion processes: A tutorial survey.
Int. J. Diff. Equations 2010, 104505 (2010)
2009
Pagnini G.,
The kernel method to compute the intensity of segregation for reactive pollutants: Mathematical formulation.
Atmospheric Environment 43, 3691-3698 (2009)
2008
Pagnini G.,
Lagrangian stochastic models for turbulent relative dispersion based on particle pair rotation.
J. Fluid Mech. 616, 357-395 (2008)
Mura A., Pagnini G.,
Characterizations and simulations of a class of stochastic processes to model anomalous diffusion.
J. Phys. A: Math. Theor. 41, 285003 (2008)
Mainardi F., Pagnini G.,
Mellin-Barnes integrals for stable distributions and their convolutions.
Fractional Calculus and Applied Analysis 11(4), 443-456 (2008)
Mainardi F., Mura A., Pagnini G., Gorenflo R.,
Time-fractional diffusion of distributed order.
J. of Vibration and Control 14, 1267-1290 (2008)
2007
Mainardi F., Pagnini G., Gorenflo G.,
Some aspects of fractional diffusion equations of single and distributed order.
App. Math. Comput. 187(1), 295-305 (2007)
Mainardi F., Pagnini G.,
The role of the Fox-Wright functions in fractional subdiffusion of distributed order.
J. Computational and Appl. Mathematics 207, 245-257 (2007)
2006
Mainardi F., Pagnini G., Gorenflo R.,
Mellin convolution for subordinated stable processes.
Journal of Mathematical Sciences 132(5), 637-642 (2006)
Monforti F., Vitali L., Pagnini G., Lorenzini R., Delle Monache L., Zanini G.,
Testing kernel density reconstruction for Lagrangian photochemical modelling.
Atmospheric Environment 40, 7770-7785 (2006)
Maurizi A., Pagnini G., Tampieri F.,
Turbulence scale dependence of the Richardson constant in Lagrangian stochastic models.
Boundary-Layer Meteorol. 118, 55-68 (2006)
2005
Mainardi F., Pagnini G., Saxena R.K.,
Fox H function in fractional diffusion.
J. Computational and Appl. Mathematics 178(1-2), 321-331 (2005)
2004
Maurizi A., Pagnini G., Tampieri F.,
Influence of Eulerian and Lagrangian scales on relative dispersion properties in Lagrangian stochastic models of turbulence.
Phys. Rev. E 69(3), 037301 (2004)
2003
Mainardi F., Pagnini G., Gorenflo R.,
Mellin transform and subordination laws in fractional diffusion processes.
Fractional Calculus and Applied Analysis 6(4), 441-459 (2003)
Mainardi F., Pagnini G.,
The Wright functions as solutions of the time-fractional diffusion equation.
Applied Mathematics and Computation 141(1), 51-62 (2003)
Mainardi F., Pagnini G.,
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals.
J. Computational and Applied Mathematics 153, 331-342 (2003)
2002
Gorenflo G., Mainardi F., Moretti D., Pagnini G., Paradisi P.,
Discrete random walk models for space-time fractional diffusion.
Chemical Physics 284(1-2), 521-541 (2002)
Gorenflo G., Mainardi F., Moretti D., Pagnini G., Paradisi P.,
Fractional diffusion: probability distributions and random walk models.
Physica A 305(1-2), 106-112 (2002)
2001
Mainardi F., Luchko Yu., Pagnini G.,
The fundamental solution of the spacetime fractional diffusion equation.
Fractional Calculus and Applied Analysis 4(2), 153-192 (2001)
Proceedings
2012
Pagnini G., Mura A., Mainardi F.,
Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion,
in Proceedings of FDA'12. The 5th IFAC Workshop Fractional Differentiation and its Applications. Nanjing, China, May 14-17, 2012.
Pagnini G., Massidda L.,
The randomized level-set method to model turbulence effects in wildland fire propagation,
in D. Spano, V. Bacciu, M. Salis, C. Sirca (Eds.): Modelling Fire Behaviour and Risk,
Proceedings of the International Conference on Fire Behaviour and Risk, Alghero, Italy, 4-6 October (2011), pp. 126-131.
2011
Pagnini G., Chen Y.Q.,
Mellin convolution for signal filtering and its application to the Gaussianization of Lévy noise,
in Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2011.
Washington D.C., USA, August 28-31, 2011. DETC2011/MESA-47392.
2010
Pagnini G.,
Evolution equation for flame ball radius,
in I. Podlubny, B.M. Vinagre Jara, Y.Q. Chen, V. Feliu Batlle, I. Tejado Balsera (Editors): Proceedings of FDA'10.
The 4th IFAC Workshop Fractional Differentiation and its Applications. Badajoz, Spain, October 18-20, 2010. Article no. FDA10-063. ISBN 9788055304878.
Mainardi F., Mura A., Pagnini G.,
The functions of the Wright-type in fractional calculus,
in A. Cialdea, G. Dattoli, M.X. He, H.M Srivastava (Editors): Lecture Notes of Seminario Interdisciplinare di Matematica vol. 9 (2010),
pp. 111-128 (Università degli Studi della Basilicata). Proceedings 8 of the 4th Workshop “Advanced Special Functions and Solutions of PDEs”,
on the occasion of Paolo Emilio Ricci's retirement held in Sabaudia, Italy, May 25-28, 2009.
Pagnini G., Mainardi F.,
Integro-differential equations to model generalized Voigt profiles: a fractional diffusion approach,
in S. Sivasundaram (Editor): Mathematical Problems in Engineering and Aerospace Sciences: ICNPAA 2008,
Seventh Int. Conf. on Mathematical Problems in Engineering Aerospace and Sciences, Genova, Italy, June 25-27, 2008, Cambridge Scientific Publishers Ltd.
2009
Zimont V.L., Pagnini G.,
Lagrangian properties of diffusion in the theory of turbulent combustion,
in K. Hanjali'c, Y. Nagano and S. Jakirli'c (Editors): Turbulence, Heat and Mass Transfer 6, International Symposium, Rome, September 14-18, 2009, Begell House Inc., 2009, pp. 703-706.
2007
Mainardi F., Mura A., Pagnini G., Gorenflo R.,
Sub-diffusion equations of fractional order and their fundamental solutions,
in K. Tas, J. A. Tenreiro-Machado, D. Baleanu (Editors): Proceedings of Mathematical Methods in Engineering, International Symposium, Ankara, Turkey, April 27-29, 2006, Springer-Verlag, 2007, pp. 23-55.
2003
Tampieri F., Pagnini G.,
Lagrangian models of dispersion in the atmospheric boundary layer,
in G. Boffetta, G. Lacorata, G. Visconti and A. Vulpiani (Editors): Chaos in Geophysical Flows, ISSAOS 2001, L'Aquila, Italy, September 10-14, 2001,
OTTO Editore, Torino, 2003, pp. 265-277.
2002
Mainardi F., Pagnini G., Gorenflo R.,
Probability distributions as solutions to fractional diffusion equation,
in O. E. Barndorff-Nielsen (Editor): Mini Proceedings of the 2-nd MaPhySto Conference on Lévy Processes: Theory and Applications,
MaPhySto (Mathematical Physics and Stochastics Centre) Dept. Mathematics, University of Aarhus, Denmark, January 21-25, 2002.
MISCELLANEA, No. 22, 2002, pp. 197-205. (ISSN 1398-5957)
Mainardi F., Pagnini G.,
Space-time fractional diffusion: exact solutions and probability interpretation,
in R. Monaco, M. Pandolfi and S. Rionero (Editors): Wawes and Stability in Continuous Media XI , World Scientific, Singapore (2002).
XI WASCOM, Int. Conf. on Wawes and Stability in Continuous Media. Porto Ercole, Italy, June 2001. World Scientific, Singapore, 2002, pp. 296-301.
Mainardi F., Pagnini G.,
The fundamental solutions of the time-fractional diffusion equation,
in M. Fabrizio, B. Lazzari and A. Morro (Editors): Mathematical Models and Methods for Smart Materials, World Scientific, Singapore, 2002, pp. 207-224.
[Series on Advances in Mathematics for Applied Sciences, Vol. 62] [Dedicated to the memory of Giorgio Gentili]
Chapters in Books
2012
Mainardi F., Pagnini G.,
The role of Salvatore Pincherle in the development of Fractional Calculus,
in Mathematicians in Bologna 1861-1960, S. Coen (Editor), pp. 373-381. Springer, Basel, 2012
Non Peer-Reviewed Papers
2012
Pagnini G., Saxena R.K.,
On the Mellin-Barnes integral representation of Voigt profile function.
Forum del Berliner Mathematische Gesellaschaft 23, 47-64 (2012), ISBN 978-3-940170-23-1