Francesco Mainardi

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Rudolf GorenfloEmeritus Professor of Mathematics, Free University Berlin, GermanyVerified email at mi.fu-berlin.de
Gianni PagniniIkerbasque Research Fellow, BCAM Bilbao, Basque Country - SpainVerified email at bcamath.org
Enrico ScalasProfessor of Statistics and Probability, University of Sussex, UKVerified email at sussex.ac.uk
Рогозин, Сергей Васильевич (S Rog...Department of Economics, Belarusian State UniversityVerified email at bsu.by
Marco RabertoAssociate Professor of Business and Management Engineering, University of Genoa, ItalyVerified email at unige.it
Yuri LuchkoProfessor of Mathematics, Technical University of Applied Sciences Berlin, GermanyVerified email at beuth-hochschule.de
Paolo ParadisiResearch scientist, ISTI-CNR,PisaVerified email at isti.cnr.it
J. Tenreiro MachadoInstitute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, PortugalVerified email at isep.ipp.pt
Virginia KiryakovaProfessor, Bulgarian Academy of SciencesVerified email at math.bas.bg
Andrea GiustiMarie Skłodowska-Curie Fellow, ETH ZürichVerified email at phys.ethz.ch
Giorgio SpadaProfessor of Physics of the Earth, DIFA, University of Bologna, ITALYVerified email at unibo.it
Roberto GarrappaDepartment of Mathematics, University of Bari, ItalyVerified email at uniba.it
Ivano ColombaroPhD Candidate, Universitat Pompeu FabraVerified email at upf.edu
José M. CarcioneOGS, Trieste, ItalyVerified email at inogs.it
Giorgio TurchettiProfessor of Mathematical PhysicsVerified email at bo.infn.it
Fabio CavalliniSenior Researcher, OGS (Istituto Nazionale di Oceanografia e di Geofisica Sperimentale), TriesteVerified email at inogs.it
rita cesariISAC CNR LecceVerified email at isac.cnr.it
Jayme VazUniversidade Estadual de CampinasVerified email at ime.unicamp.br
H. M. SrivastavaProfessor Emeritus, Department of Mathematics and Statistics, Universtity of Victoria, CanadaVerified email at math.uvic.ca
Silvia VitaliUniversity of BolognaVerified email at unibo.it

Francesco Mainardi

Free Professor of Mathematical Physics, University of Bologna and INFN, I-40126 Bologna, Italy

Verified email at bo.infn.it - Homepage

special functions fractional calculus waves mathematical physics stochastic processes


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Integral and Differential Equations of Fractional Order R Gorenflo, F Mainardi Fractals and fractional calculus in continuum mechanics edite by A …, 1997	4166*	1997
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models F Mainardi World Scientific, 2010	2486	2010
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011	1220	2011
The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007	1106	2007
Mittag-Leffler functions, related topics and applications R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin Springer, 2014	1006	2014
Fractional relaxation-oscillation and fractional diffusion-wave phenomena F Mainardi Chaos, Solitons & Fractals 7 (9), 1461-1477, 1996	995	1996
Fractional calculus and continuous-time finance E Scalas, R Gorenflo, F Mainardi Physica A: Statistical Mechanics and its Applications 284 (1-4), 376-384, 2000	797	2000
Linear models of dissipation in anelastic solids M Caputo, F Mainardi La Rivista del Nuovo Cimento (1971-1977) 1 (2), 161-198, 1971	784	1971
A new dissipation model based on memory mechanism M Caputo, F Mainardi Pure and applied Geophysics 91 (1), 134-147, 1971	750	1971
The fundamental solutions for the fractional diffusion-wave equation F Mainardi Applied Mathematics Letters 9 (6), 23-28, 1996	686	1996
On Mittag-Leffler-type functions in fractional evolution processes F Mainardi, R Gorenflo Journal of Computational and Applied Mathematics 118 (1-2), 283-299, 2000	578	2000
Fractional calculus and continuous-time finance II: the waiting-time distribution F Mainardi, M Raberto, R Gorenflo, E Scalas Physica A: Statistical Mechanics and its Applications 287 (3-4), 468-481, 2000	567	2000
Waiting-times and returns in high-frequency financial data: an empirical study M Raberto, E Scalas, F Mainardi Physica A: Statistical Mechanics and its Applications 314 (1-4), 749-755, 2002	482	2002
Random walk models approximating symmetric space-fractional diffusion processes R Gorenflo, F Mainardi Problems and methods in mathematical physics, 120-145, 2001	444	2001
Time fractional diffusion: a discrete random walk approach R Gorenflo, F Mainardi, D Moretti, P Paradisi Nonlinear Dynamics 29 (1), 129-143, 2002	388	2002
Creep, relaxation and viscosity properties for basic fractional models in rheology F Mainardi, G Spada The European Physical Journal Special Topics 193 (1), 133-160, 2011	386	2011
Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007	359	2007
Discrete random walk models for space–time fractional diffusion R Gorenflo, F Mainardi, D Moretti, G Pagnini, P Paradisi Chemical physics 284 (1-2), 521-541, 2002	351	2002
Wright functions as scale-invariant solutions of the diffusion-wave equation R Gorenflo, Y Luchko, F Mainardi Journal of Computational and Applied Mathematics 118 (1-2), 175-191, 2000	325	2000
Fractional calculus and continuous-time finance III: the diffusion limit R Gorenflo, F Mainardi, E Scalas, M Raberto Mathematical finance, 171-180, 2001	303	2001

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