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 Probability and Mathematical Statistics, Sapienza University of Rome, ItalyVerified email at uniroma1.it
Marco RabertoProfessor of Business and Management Engineering, University of Genoa, ItalyVerified email at unige.it
Yuri LuchkoProfessor of Mathematics, Berlin University of Applied Sciences and Technology, GermanyVerified email at bht-berlin.de
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
Andrea GiustiPostdoctoral Fellow, ETH ZürichVerified email at phys.ethz.ch
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
Guido MaionePolitecnico di Bari (Polytechnic University of Bari)Verified email at poliba.it
Silvia VitaliOxcitasVerified email at oxcitas.com

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	5445*	1997
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models F Mainardi World Scientific, 2022	4000	2022
Mittag-Leffler functions, related topics and applications R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin Springer, 2014	2179*	2014
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011	1872	2011
The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007	1360	2007
Fractional relaxation-oscillation and fractional diffusion-wave phenomena F Mainardi Chaos, Solitons & Fractals 7 (9), 1461-1477, 1996	1259	1996
A new dissipation model based on memory mechanism M Caputo, F Mainardi Pure and applied Geophysics 91, 134-147, 1971	1058	1971
Linear models of dissipation in anelastic solids M Caputo, F Mainardi La Rivista del Nuovo Cimento (1971-1977) 1 (2), 161-198, 1971	1055	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	1052	2000
The fundamental solutions for the fractional diffusion-wave equation F Mainardi Applied Mathematics Letters 9 (6), 23-28, 1996	858	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	681	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	670	2000
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	606	2011
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	597	2002
Random walk models for space-fractional diffusion processes R Gorenflo, F Mainardi Fract. Calc. Appl. Anal 1 (2), 167-191, 1998	499	1998
Time fractional diffusion: a discrete random walk approach R Gorenflo, F Mainardi, D Moretti, P Paradisi Nonlinear Dynamics 29, 129-143, 2002	477	2002
Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007	466	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	411	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	384	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	352	2001

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