Integral and Differential Equations of Fractional Order R Gorenflo, F Mainardi Fractals and fractional calculus in continuum mechanics edite by A …, 1997 | 5248* | 1997 |
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models F Mainardi World Scientific, 2022 | 3752 | 2022 |
Mittag-Leffler functions, related topics and applications R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin Springer, 2014 | 1985* | 2014 |
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153, 2011 | 1776 | 2011 |
The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007 | 1319 | 2007 |
Fractional relaxation-oscillation and fractional diffusion-wave phenomena F Mainardi Chaos, Solitons & Fractals 7 (9), 1461-1477, 1996 | 1226 | 1996 |
A new dissipation model based on memory mechanism M Caputo, F Mainardi Pure and applied Geophysics 91, 134-147, 1971 | 1022 | 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 | 1013 | 2000 |
Linear models of dissipation in anelastic solids M Caputo, F Mainardi La Rivista del Nuovo Cimento (1971-1977) 1 (2), 161-198, 1971 | 1013 | 1971 |
The fundamental solutions for the fractional diffusion-wave equation F Mainardi Applied Mathematics Letters 9 (6), 23-28, 1996 | 832 | 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 | 670 | 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 | 656 | 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 | 578 | 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 | 572 | 2011 |
Random walk models for space-fractional diffusion processes R Gorenflo, F Mainardi Fract. Calc. Appl. Anal 1 (2), 167-191, 1998 | 488 | 1998 |
Time fractional diffusion: a discrete random walk approach R Gorenflo, F Mainardi, D Moretti, P Paradisi Nonlinear Dynamics 29, 129-143, 2002 | 465 | 2002 |
Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007 | 455 | 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 | 406 | 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 | 380 | 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 | 346 | 2001 |