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
Рогозин, Сергей Васильевич (S Rog...Department of Economics, Belarusian State UniversityVerified email at bsu.by
Enrico ScalasProfessor of Statistics and Probability, University of Sussex, UKVerified email at sussex.ac.uk
Yuri LuchkoProfessor of Mathematics, Berlin University of Applied Sciences and Technology, GermanyVerified email at beuth-hochschule.de
Marco RabertoProfessor of Business and Management Engineering, University of Genoa, ItalyVerified email at unige.it
Paolo ParadisiResearch scientist, ISTI-CNR,PisaVerified email at isti.cnr.it
Virginia KiryakovaProfessor, Bulgarian Academy of SciencesVerified email at math.bas.bg
J. Tenreiro MachadoInstitute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, PortugalVerified email at isep.ipp.pt
Roberto GarrappaDepartment of Mathematics, University of Bari, ItalyVerified email at uniba.it
Giorgio SpadaProfessor of Physics of the Earth, DIFA, University of Bologna, ITALYVerified email at unibo.it
Ivano ColombaroFree University of Bozen-BolzanoVerified email at unibz.it
José M. CarcioneOGS, Trieste, ItalyVerified email at inogs.it
Fabio CavalliniSenior Researcher, OGS (Istituto Nazionale di Oceanografia e di Geofisica Sperimentale), TriesteVerified email at inogs.it
Giorgio TurchettiProfessor of Mathematical PhysicsVerified email at bo.infn.it
rita cesariISAC CNR LecceVerified email at isac.cnr.it
H. M. SrivastavaProfessor Emeritus, Department of Mathematics and Statistics, Universtity of Victoria, CanadaVerified email at math.uvic.ca
Silvia VitaliEurecatVerified email at eurecat.org
Guido MaionePolitecnico di Bari (Polytechnic University of Bari)Verified email at poliba.it
Gianni De FabritiisComputational Science Laboratory, Icrea Research Professor. twitter:@gdefabritiisVerified email at upf.edu

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


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Integral and Differential Equations of Fractional Order R Gorenflo, F Mainardi Fractals and fractional calculus in continuum mechanics edite by A …, 1997	4719*	1997
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models F Mainardi World Scientific, 2022	3198	2022
Mittag-Leffler functions, related topics and applications R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin Springer, 2014	1550*	2014
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011	1523	2011
The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007	1222	2007
Fractional relaxation-oscillation and fractional diffusion-wave phenomena F Mainardi Chaos, Solitons & Fractals 7 (9), 1461-1477, 1996	1129	1996
Linear models of dissipation in anelastic solids M Caputo, F Mainardi La Rivista del Nuovo Cimento (1971-1977) 1 (2), 161-198, 1971	910	1971
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	901	2000
A new dissipation model based on memory mechanism M Caputo, F Mainardi Pure and applied Geophysics 91, 134-147, 1971	888	1971
The fundamental solutions for the fractional diffusion-wave equation F Mainardi Applied Mathematics Letters 9 (6), 23-28, 1996	772	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	629	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	621	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	535	2002
Random walk models approximating symmetric space-fractional diffusion processes R Gorenflo, F Mainardi Problems and Methods in Mathematical Physics: The Siegfried Prössdorf …, 2001	485	2001
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	483	2011
Time fractional diffusion: a discrete random walk approach R Gorenflo, F Mainardi, D Moretti, P Paradisi Nonlinear Dynamics 29, 129-143, 2002	435	2002
Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007	410	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	385	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	356	2000
Fractional calculus and continuous-time finance III: the diffusion limit R Gorenflo, F Mainardi, E Scalas, M Raberto Mathematical Finance: Workshop of the Mathematical Finance Research Project …, 2001	333	2001

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