F. Mainardi publications

CITATIONS RANKING of PAPERS (in Journals, Books, Proceedings) > 50
[10 January 2009]

N.B. On 10 January 2009 we have under Mainardi F.:
http://scholar.google.it/scholar?q=Mainardi+F.&hl=it&lr=&btnG=Cerca
more than 10,000 (ten thousand) records. For up-dating the records, please click up.

1) (224)
[62] R. Gorenflo and F. Mainardi :
"Fractional calculus, integral and differential equations of fractional order,
in A. Carpinteri and F. Mainardi (Editors),
Fractals and Fractional Calculus in Continuum Mechanics,
Springer Verlag, Wien (1997), pp. 223-276.
Vol. no 378, series CISM Courses and Lecture Notes, (ISBN 3-211-82913-X)
[Advanced School held at CISM, Udine, Italy, 23-27 September 1996]. E-print http://www.fracalmo.org or http://arxiv.org/abs/0805.3823

2) (168)
[56] F. Mainardi :
"Fractional relaxation-oscillation and fractional diffusion-wave phenomena".Chaos, Solitons and Fractals, Vol. 7, No 9, pp. 1461-1477 (1996).

3) (156)
[63] F. Mainardi :
"Fractional calculus, some basic problems in continuum and statistical mechanics",
in A. Carpinteri and F. Mainardi (Editors),
Fractals and Fractional Calculus in Continuum Mechanics,
Springer Verlag, Wien (1997), pp. 291-348.
Vol. no 378, series CISM Courses and Lecture Notes, (ISBN 3-211-82913-X)
[Advanced School held at CISM, Udine, Italy, 23-27 September 1996]. E-print http://www.fracalmo.org

4) (147)
[89] F. Mainardi, Yu. Luchko and G. Pagnini :
"The fundamental solution of the space-time fractional diffusion equation",
Fractional Calculus and Applied Analysis, Vol. 4, No 2, 153-192 (2001). E-print http://arxiv.org/abs/cond-mat/0702419

5) (132)
[83] F. Mainardi, M. Raberto, R. Gorenflo and E. Scalas :
“Fractional calculus and continuous-time finance II: the waiting-time distribution”,
Physica A, Vol. 287, No 3-4, pp. 468-481 (2000).
E-print http://arxiv.org/abs/cond-mat/0006454

6) (122)
[82] E. Scalas, R. Gorenflo and F. Mainardi :
"Fractional calculus and continuous-time finance",
Physica A, Vol. 284, No 1-4, pp. 376-384 (2000).E-print http://arxiv.org/abs/cond-mat/0001120

7) (102)
[2] M. Caputo and F. Mainardi :
"Linear models of dissipation in anelastic solids"Rivista del Nuovo Cimento (Ser.II), Vol. 1, pp. 161 - 198 (1971).

8) (93)
[81] F. Mainardi and R. Gorenflo :
"On Mittag-Leffler-type functions in fractional evolution processes". Computational and Applied Mathematics, Vol. 118, No 1-2, pp. 283-299 (2000).

9) (78)
[57] F. Mainardi :
"The fundamental solutions for the fractional diffusion-wave equation". Applied Mathematics Letters, Vol. 9, No 6, pp. 23-28 (1996).

10) (75)
[100] M. Raberto, E. Scalas and F. Mainardi :
"Waiting-times and returns in high-frequency financial data: an empirical study",
Physica A, Vol. 314, No 1-4, pp. 751-757 (2002).E-print http://arxiv.org/abs/cond-mat/0203596

11) (74)
[70] R. Gorenflo and F. Mainardi :
"Random walk models for space-fractional diffusion processes". Fractional Calculus and Applied Analysis, Vol. 1, No 2, 167-190 (1998).

12) (71)
[80] R. Gorenflo, Yu. Luchko and F. Mainardi :
"Wright functions as scale-invariant solutions of the diffusion-wave equation". J. Computational and Applied Mathematics, Vol. 118, No 1-2, pp. 175-191 (2000).

13) (71)
[99] R. Gorenflo, F. Mainardi, D. Moretti, G. Pagnini, and P. Paradisi :
"Discrete random walk models for space-time fractional diffusion",
Chemical Physics, Vol. 284, No 1/2, pp. 521-544 (2002).E-print http://arxiv.org/abs/cond-mat/0702072

14) (59)
[1] M. Caputo and F. Mainardi :
"A new dissipation model based on memory mechanism". Pure and Appl. Geophys. (Pageoph), Vol. 91, pp. 134 - 147 (1971).

15) (51)
[68] R. Gorenflo and F. Mainardi :
"Fractional calculus and stable probability distributions". Archives of Mechanics, Vol. 50, No 3, 377-388 (1998).