Francesco Mainardi
Francesco Mainardi
Free Professor of Mathematical Physics, University of Bologna and INFN, I-40126 Bologna, Italy
Verified email at bo.infn.it - Homepage
TitleCited byYear
Fractional calculus
R Gorenflo, F Mainardi
Fractals and fractional calculus in continuum mechanics, 223-276, 1997
3337*1997
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models
F Mainardi
World Scientific, 2010
17122010
The fundamental solution of the space-time fractional diffusion equation
F Mainardi, Y Luchko, G Pagnini
arXiv preprint cond-mat/0702419, 2007
9252007
Recent history of fractional calculus
JT Machado, V Kiryakova, F Mainardi
Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011
8682011
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
F Mainardi
Chaos, Solitons & Fractals 7 (9), 1461-1477, 1996
8431996
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
6422000
Linear models of dissipation in anelastic solids
M Caputo, F Mainardi
La Rivista del Nuovo Cimento (1971-1977) 1 (2), 161-198, 1971
5881971
The fundamental solutions for the fractional diffusion-wave equation
F Mainardi
Applied Mathematics Letters 9 (6), 23-28, 1996
5651996
A new dissipation model based on memory mechanism
M Caputo, F Mainardi
Pure and applied Geophysics 91 (1), 134-147, 1971
5571971
Mittag-Leffler functions, related topics and applications
R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin
Springer, 2014
5162014
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
5082000
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
4912000
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
3932002
Random walk models approximating symmetric space-fractional diffusion processes
R Gorenflo, F Mainardi
Problems and Methods in Mathematical Physics, 120-145, 2001
3772001
Time fractional diffusion: a discrete random walk approach
R Gorenflo, F Mainardi, D Moretti, P Paradisi
Nonlinear Dynamics 29 (1-4), 129-143, 2002
3152002
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
2992002
Analytical properties and applications of the Wright function
R Gorenflo, Y Luchko, F Mainardi
arXiv preprint math-ph/0701069, 2007
2772007
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
2732000
Fractional calculus and continuous-time finance III: the diffusion limit
R Gorenflo, F Mainardi, E Scalas, M Raberto
Mathematical finance, 171-180, 2001
2522001
Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
E Scalas, R Gorenflo, F Mainardi
Physical Review E 69 (1), 011107, 2004
2392004
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