|
List
of Publications and Conference Proceedings of Francesco MAINARDI
francesco.mainardi@unibo.it
[149] E.
Capelas de Oliveira, F. Mainardi and J. Vaz Jr:
“Models
based on Mittag-Leffler functions for anomalous relaxation in
dielectrics”,
The
European Physical Journal, Special Topics, Vol. 193, pp. 161-171 (2011).
E-print http://arxiv.org/abs/1106.1761
[148] F.
Mainardi and G. Spada:
“Creep,
relaxation and viscosity properties for basic fractional models in
rheology”,
The
European Physical Journal, Special Topics, Vol. 193, pp. 133-160 (2011).
[147] R.
Gorenflo and F. Mainardi:
“Subordination
pathways to fractional diffusion”,
The
European Physical Journal, Special Topics, Vol. 193, pp. 119-132 (2011).
E-print: http://arxiv.org/abs/1104.4041
[146] C.P. Li
and F. Mainardi: “Editorial”,
The
European Physical Journal, Special Topics, Vol. 193, pp. 1-4 (2011). Special
issue on Fractional Dynamics and Control,
Guest
Editors: Changpin Li and Francesco Mainardi.
[145] Yu.
Luchko, F. Mainardi and S. Rogosin:
“Professor
Rudolf Gorenflo and his contribution to fractional calculus”,
Fractional
Calculus and Applied Analysis, Vol. 14 No.1, pp. 3-18 (2011).
(Issue
devoted to the 80th Anniversary of Prof. R. Gorenflo,
Guest Editors:
Virginia Kiryakova, Yury Luchko, Francesco Mainardi, Blas Vinagre, Igor
Podlubny, Yang Quan Chen)
[144] J.
Tenreiro Machado, V. Kiryakova and F. Mainardi:
“Recent
history of fractional calculus”, Commun. Nonlinear Sci. Numer.
Simulat., Vol. 16, pp. 1140-1153 (2011) doi:10.1016/j.cnsns.2010.05.027
[143] J.
Tenreiro Machado, V. Kiryakova and F. Mainardi:
"A
poster about the old history of fractional calculus".
Fractional Calculus and Applied Analysis, Vol. 13 No.4,
pp. 447-454 (2010).
[142] J.
Tenreiro Machado, V. Kiryakova and F. Mainardi:
“Recent
history of fractional calculus”,
Commun. Nonlinear
Sci. Numer. Simulat. Vol. 16, pp.
1140-1153 (2011).
[doi:10.1016/j.cnsns.2010.05.027]
[141] J.
Tenreiro Machado, V. Kiryakova and F. Mainardi: “
“A
poster about the recent history of fractional calculus”.
Fractional
Calculus and Applied Analysis, Vol. 13 No.3, pp. 329-334 (2010).
[140] F. Mainardi, A. Mura and G.
Pagnini:
“The M
Wright function in time-fractional diffusion processes: a tutorial survey”,
International Journal of Differential Equations, Vol. 2010, Article ID
104505, 29 pages. doi:10.1155/2010/104505 . http://www.hindawi.com/a104505.html
Electronic Journal,
Hindawi Publishing Corporation, special issue for Fractional Differential
Equations http://www.hindawi.com/journals/ijde/contents.html
E-print http://arxiv.org/abs/1004.2950
[139] G. Pagnini and F. Mainardi:
“Evolution equations of
the probabilistic generalization of the Voigt profile function”, Journal of Computational and
Applied Mathematics, Vol. 233 No 6,
1590-1595 (2010). [doi:10.1016/j.cam.2008.04.040]
E-print http://arxiv.org/abs/0711.4246 9 pages (Mathematical Physics)
[138] F. Mainardi, A. Mura, F.
Tampieri:
“Brownian
motion and anomalous diffusion revisited via a fractional Langevin
equation”, Modern Problems of Statistical Physics, Vol 8, pp. 3-23 (2009).
A journal founded
to the memory of Prof. Ascold N. Malakhov,
see http://www.mptalam.org/i.html E-print http://arxiv.org/abs/1004.3505
[137] R.
Gorenflo and F. Mainardi:
“Some recent
advances in theory and simulation of
fractional diffusion processes”,
Journal of Computational and Applied Mathematics, Vol. 229 No 2, 400-415 (2009). E-print http://arxiv.org/abs/0801.0146
33 pages (Math.PR)
[136] A. Mura and
F. Mainardi:
“A class of self-similar stochastic processes with stationary
increments to model anomalous diffusion in physics”,
Integral Transforms and Special Functions, Vol. 20, No 3-4, pp. 185-198
(2009)
E-print http://arxiv.org/abs/0711.0665 14 pages (Probability, Mathematical
Physics)
[135] R. Gorenflo, F. Mainardi and
A. Vivoli :
“Subordination
in fractional diffusion processes via continuous time random walk”,
In H.G.W. Begehr
and F. Nicolosi (Editors) : More
Progresses in Analysis,
Proceedings of the 5-th Int. ISAAC Congress, Catania (Italy),
25-30 July 2005.
World Scientific,
Singapore 2009, pp. 451-466. ISBN
978-981-283-562-8;
http://www.worldscibooks.com/mathematics/7054.html
[134] A. Mura,
M.S. Taqqu and F. Mainardi:
“Non-Markovian diffusion
equations and processes: analysis and simulation”,
Physica A, Vol.
387, pp. 5033-5064 (2008),
E-print http://arxiv.org/abs/0712.0240 45 pages (Mathematical Physics)
[133] R. Gorenflo
and F. Mainardi:
“Continuous
time random walk, Mittag-Leffler waiting time and fractional diffusion:
mathematical
aspects”, Chap. 4 In R. Klages, G. Radons and I.M.
Sokolov(Editors):
“Anomalous Transport: Foundations and
Applications”, Wiley-VCH,
Weinheim,
Germany, 2008, pp. 93-127. [ISBN:
978-3-527-40722-4].
E-print http://arxiv.org/abs/0705.0797 36 pages (Cond Mat; Stat-Mech)
[132] F. Mainardi, and G.
Pagnini :
“
Mellin-Barnes integrals for stable distributions and their
convolutions”,
Fractional Calculus and Applied Analysis,
Vol. 11, pp. 443-456 (2008).
[131] F. Mainardi, A.
Mura, G. Pagnini and R. Gorenflo:
“Time-fractional diffusion of distributed order”,
Journal of Vibration and Control, vol. 14, pp. 1267-1290
(2008),.
E-print http://arxiv.org/abs/cond-mat/0701132
[130] F. Mainardi
and R. Gor`enflo:
“Time-fractional derivatives in relaxation processes: a tutorial
survey”,
Fractional Calculus and Applied Analysis, Vol. 10 No 3 pp. 269-308
(2007).
E-print http://arxiv.org/abs/0801.4914
[129] F. Mainardi, A.
Mura, R. Gorenflo and M. Stojanovic,
“The two forms of fractional relaxation of distributed
order”,
Journal of Vibration and Control, Vol. 13, pp. 1249-1268 (2007).
E-print http://arxiv.org/abs/cond-mat/0701131
[128] F. Mainardi,
and G. Pagnini :
“The role of the Fox-Wright functions in fractional
subdiffusion of distributed order”, J. Computational and
Applied Mathematics, Vol. 207, pp. 245-257 (2007).
E-print http://arxiv.org/abs/0711.3779
[127] F. Mainardi, R.
Gorenflo and A. Vivoli :
“Beyond the Poisson renewal process: a tutorial survey”,
Journal of Computational and Applied Mathematics, Vol. 205, pp. 725-735
(2007).
[126] F. Mainardi, A.
Mura, G. Pagnini and R. Gorenflo:
“Sub-diffusion equations of fractional order and their
fundamental solutions”,
in K. Tas, J. A. Tenreiro-Machado and D. Baleanu (Editors):
Mathematical Methods in Engineering,
Springer-Verlag, Dordrecht 2007, pp. 23-55. ISBN
978-1-4020-2 (HB).
[125] F. Mainardi, G.
Pagnini and R. Gorenflo :
“Some aspects of fractional diffusion equations of single
and distributed order”,
Applied Mathematics and Computing, Vol.187, pp. 295-305 (2007).
[124] R. Gorenflo, F.
Mainardi and A. Vivoli :
“Continuous time random walk and parametric subordination in fractional
diffusion”,
Chaos, Solitons and Fractals, Vol. 34, pp. 87-103 (2007).
E-print http://arxiv.org/abs/cond-mat/0701126
[123] F. Mainardi
and S. Rogosin :
“The origin of infinitely divisible distributions:
from de Finetti's problem to L\'evy-Khintchine formula”,
Mathematical Methods in Economics and Finance, Vol. 1, pp. 37-55
(2006).
Universitą Ca'
Foscari di Venezia - Dipartimento di Matematica Applicata,
ISSN: 1971-6419 (Print Edition). ISSN: 1971-3878 (Electronic Edition)
URL: http://www.dma.unive.it/mmef/
[122] F. Mainardi, G.
Pagnini and R. Gorenflo :
“Mellin convolution for subordinated stable processes”,
Journal of Mathematical Sciences, Vol. 132, No 5, pp.
637-642 (2006).
[121] R. Gorenflo and F.
Mainardi :
“Fractional relaxation of distributed order”,
in M. Novak (Editor):
"Complexus Mundi: Emergent Patterns in Nature",
World Scientific, Singapore, 2006, pp. 33-42. ISBN
981-256-666-X (HB)
[120] F.
Mainardi, A. Vivoli and R. Gorenflo:
"Continuous time random walk and time fractional diffusion:
a numerical comparison between the fundamental solutions",
Fluctuation and Noise Letters, Vol.5 No 2, pp. L291-L297
(2005).
[119] R. Gorenflo and F. Mainardi :
"Simply and multiply scaled diffusion limits for continuous
time random walks",
IOP Journal of Physics: Conference Series, Vol. 7, pp.1-16
(2005).
Issue edited by S. Benkadda, X. Leoncini and G. Zaslavsky,
Invited Lecture, International Workshop on Chaotic Transport and
Complexity in Fluids and Plasmas, Carry Le Rouet (France) 20-25 June
2004,
[118] R. Gorenflo and F.
Mainardi :
"Power laws, random walks, and fractional diffusion processes as
well scaled refinement limits",
in A. Le M\'ehaut\'e, J.A. Tenreiro Machado, J.C. Trigeassou,
J.Sabatier (Editors),
Fractional Differentiation and its Applications, U Books (2005). pp.
497-516.
[ISBN 3-86608-026-3]
[117] E. Scalas, R. Gorenflo, F. Mainardi and M.M.
Meerschaert :
"Speculative option valuation and the fractional diffusion
equation",
in A. Le M\'ehaut\'e, J.A. Tenreiro Machado,
J.C. Trigeassou, J.Sabatier (Editors),
Fractional Differentiation and its Applications, U Books
(2005), pp. 265-274.
[ISBN 3-86608-026-3]
[116]
F. Mainardi, G. Pagnini and R.K. Saxena :
"Fox $H$ functions in fractional diffusion",
J. Computational and Applied Mathematics, Vol 178 No1-2 (2005)
pp 321-331.
[115] F.
Mainardi, R. Gorenflo and A. Vivoli :
"Renewal processes of Mittag-Leffler and Wright type",
Fractional Calculus and Applied Analysis, Vol. 8, No 1, pp. 7-38
(2005).
E-print http://arxiv.org/abs/math/0701455
[114]
E. Scalas, R. Gorenflo, H. Luckcock, F. Mainardi, M. Mantelli
and M. Raberto : "On the intertrade waiting-time
distribution",
Financial Letters, Vol. 3, No 1, pp. 38-43 (2005).
[113]
E. Scalas, R. Gorenflo, H. Luckcock, F. Mainardi, M. Mantelli
and M. Raberto : "Anomalous waiting times in high-frequency
financial data",
Quantitative Finance, Vol. 4, pp. 695-702 (2004).
E-print http://arxiv.org/abs/physics/0505210
[112] R. Gorenflo,
A. Vivoli and F. Mainardi,
"Discrete and continuous random walk models for space-time
fractional diffusion",
Nonlinear Dynamics, Vol. 38, pp. 101-116 (2004).
[111] F. Mainardi, R. Gorenflo and E. Scalas :
"A fractional generalization of the Poisson processes"
Vietnam Journal of Mathematics, Vol. 32, SI, pp. 53-64 (2004).
E-print http://arxiv.org/abs/math/0701454
[110] F. Mainardi :
"Applications of integral transforms in fractional diffusion
processes",
Integral Transforms and Special Functions, Vol. 15, No 6, pp. 477-484
(2004).
E-print http://arxiv.org/abs//0710.0145
[109]
F. Mainardi, R. Gorenflo and E. Scalas :
"A renewal process of Mittag-Leffler type",
in M. Novak (Editor),
Thinking in Patterns: Fractals and Related Phenomena in Nature,
World Scientific, Singapore 2004; pp. 35-46 (ISBN 981-238-822-2).
[108] E. Scalas, R.
Gorenflo and F. Mainardi :
"Uncoupled continuous-time random walks: Solution and limiting
behavior
of the master equation", Physical Review E, Vol. 69,
pp. 011107/1-8 (2004).
E-print http://arxiv.org/abs/cond-mat/0402657
[107]
F. Mainardi, G. Pagnini and R. Gorenflo :
"Mellin transform and subordination laws in fractional
diffusion processes",
Fractional Calculus and Applied Analysis, Vol. 6, No. 4, pp.
441-459 (2003).
E-print http://arxiv.org/abs/math/0702133
[106]
R. Gorenflo and F. Mainardi :
"Fractional diffusion processes: probability distributions and
continuous time random walk", In: G. Rangarajan and M. Ding
(Editors),
“Processes with Long Range Correlations”,
Springer-Verlag, Berlin 2003, pp. 148-166. [Lecture Notes
in Physics, No. 621]
E-print http://arxiv.org/abs/0709.3990
[105] F.
Mainardi and G. Pagnini :
"The Wright functions as solutions of the time-fractional
diffusion equations",
Applied Mathematics and Computation, Vol. 141 No 1,
pp. 51-66 (2003)
[104] F.
Mainardi and G. Pagnini :
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals,
J. Computational and Applied Mathematics, Vol 153,
pp. 331-342 (2003).
E-print http://arxiv.org/abs/math/0702520
[103] E. Scalas, R.
Gorenflo, F. Mainardi and M. Raberto :
"Revisiting the derivation of the fractional diffusion
equation",
Fractals, Vol. 11, Suppl. S, pp. 281-289 (2003).
E-print http://arxiv.org/abs/cond-mat/0210166
[102] F.
Mainardi and G. Pagnini :
"The fundamental solutions of the time-fractional diffusion
equation",
in M. Fabrizio, B. Lazzari and A. Morro (Editors),
“Mathematical Models and Methods for Smart Materials”,
World Scientific,
Singapore,
2002, pp. 207-224.
[Series on Advances in Mathematics for Applied Sciences, Vol. 62]
[101] F. Mainardi and G. Pagnini :
"Space-time-fractional diffusion: exact solutions and
probability interpretation,
in R. Monaco, M. Pandolfi Bianchi and S. Rionero
(Editors),
“11-th Conference on Waves and Stability in Continuous
Media” (WASCOM 2001)
World Scientific, Singapore, 2002, pp.
296-301..
[Series on Advances in Mathematics for Applied Sciences, Vol. ??]
[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
[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
[98] R. Gorenflo,
F. Mainardi, D. Moretti and P. Paradisi :
"Time-fractional diffusion: a discrete random walk approach",
Nonlinear Dynamics, Vol. 29, No 1-4, pp. 129-143 (2002).
[97] R. Gorenflo, F. Mainardi, D. Moretti, G. Pagnini and P.
Paradisi :
“Fractional diffusion: probability distributions and random walk
models”,
Physica A, Vol. 305, No 1-2, pp. 106-112 (2002).
[96] R. Gorenflo and F. Mainardi :
"Non-Markovian random walk models, scaling and diffusion
limits",
in O. E. Barndorff-Nielsen (Editor), Mini Proceedings of
the 2-nd MaPhySto (Mathematical Physics and Stochastics
Centre), Conference on
"L\'evy Processes: Theory and Applications", pp.
120-128.
Dept. Mathematics, University
of Aarhus, Denmark
21-25 January 2002.
MPS-misc. 2002-22, Aug. 2002 (ISSN 1398-5957)
See http://www.maphysto.dk PUBLICATIONS
2002, Miscellanea No. 22.
[95] F. Mainardi, G. Pagnini and R. Gorenflo :
"Probability distributions as solutions to fractional diffusion
equations",
in O. E. Barndorff-Nielsen (Editor), Mini Proceedings of
the 2-nd MaPhySto Conference on "L\'evy Processes: Theory and Applications",
pp. 197-205.
Dept. Mathematics, University
of Aarhus, Denmark
21-25 January 2002. MPS-misc.
2002-22, Aug. 2002, pp. 197-205. (ISSN 1398-5957)
See http://www.maphysto.dk PUBLICATIONS 2002, Miscellanea
No. 22.
[94] J.M. Carcione, F. Cavallini, F. Mainardi and A. Hanyga :
"Time-domain seismic modelling of constant-Q wave propagation
using
fractional derivatives",
Pure and Applied Geophys (PAGEOPH) Vol. 159, pp. 1719-1736
(2002).
[93] F. Mainardi, M. Raberto, E. Scalas and R. Gorenflo :
"Survival probability of LIFFE bond futures via the
Mittag-Leffler function",
in H. Takayasu (Editor),
Empirical Science of Financial Fluctuations - The Advent of Econophysics,
Springer-Verlag, Tokyo 2002, pp. 195-206.
[ 92] F.
Mainardi : "Linear viscoelasticity", Chapter 4
in: A. Guran, A. Bostr\"om, O. Leroy and G. Maze (Editors),
"Acoustic Interactions with Submerged Elastic Structures,
Part IV:
Nondestructive Testing, Acoustic Wave Propagation and Scattering",
World Scientific, Singapore, 2002, pp. 97-126. ISBN
981-02-4271-9
[Vol. 5 on the Series B on Stability, Vibration and Control of
Systems]
[91] F. Mainardi : "Transient waves in linear viscoelastic media",
Chapter 5
in: A. Guran, A. Bostr\"om, O. Leroy and G. Maze (Editors),
"Acoustic Interactions with Submerged Elastic Structures, Part IV:
Nondestructive Testing, Acoustic Wave Propagation and Scattering",
World Scientific, Singapore, 2002, pp. 127-161, see above.
[Vol. 5 on the Series B on Stability, Vibration and Control of Systems]
[90] F. Mainardi, R. Gorenflo, D. Moretti and P. Paradisi :
"Random walk models for time-fractional diffusion",
in M.M. Novak (Editor),
"Emergent Nature: Patterns, Growth and Scaling
in the Sciences",
World Scientific, Singapore 2001, pp. 185-196.
[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
[88] R. Gorenflo
and F. Mainardi :
"Random walk models approximating symmetric space-fractional
diffusion
processes", in: J. Elschner, I. Gohberg and B.
Silbermann (Editors),
"Problems in Mathematical Physics" (Siegfried
Pr\"ossdorf Memorial Volume),
Birkh\"auser Verlag, Boston-Basel-Berlin, 2001, pp. 120-145
[87] P. Paradisi,
R. Cesari, F. Mainardi and F. Tampieri :
"The fractional Fick's law for non-local transport
processes",
Physica A, Vol. 293, pp. 130-142 (2001).
[86] P. Paradisi, R. Cesari, F. Mainardi, A. Maurizi and F. Tampieri :
"A generalized Fick's law to describe non-local transport
processes",
Phys. Chem. Earth (B) Vol. 26, No. 4, pp.
275-279 (2001).
[85] F. Mainardi and P. Paradisi :
"Fractional diffusive waves",
J. Computational Acoustics, Vol. 9 N.4, pp. 1417-1436
(2001).
[84] R. Gorenflo, F. Mainardi, E. Scalas and M. Raberto :
"Fractional calculus and continuous-time finance
III: the diffusion limit",
in M. Kohlmann and S. Tang (Editors): "Mathematical
Finance",
Birkh\"auser Verlag,
Basel-Boston-Berlin, 2001, pp. 171-180.
[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
[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
[81] F.
Mainardi and R. Gorenflo :
"On Mittag-Leffler-type functions in fractional evolution
processes",
J. Computational and Applied Mathematics, Vol. 118, No
1-2, pp. 283-299 (2000).
[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).
[79] F. Mainardi and R. Gorenflo :
"Fractional calculus: special functions and applications",
in D. Cocolicchio, G. Dattoli and H.M. Srivastava (Editors),
Advanced Special Functions and Applications, Aracne, Roma
(2000), pp. 165-189.
[78] M. Raberto, G. Cuniberti, E. Scalas, M. Riani, F. Mainardi and G.
Servizi :
"Learning short-option valuation in the presence of rare
events",
Intl. Journal of Theoretical and Applied Finance, Vol. 3, No 3,
pp. 563-564 (2000).
E-print: http://arxiv.org/abs/cond-mat/0001120
[77] R. Gorenflo,
Yu. Luchko and F. Mainardi :
"Analytical properties and applications of the Wright function",
Fractional Calculus and Applied Analysis, Vol. 2, No
4, pp. 383-414 (1999).
E-print http://arxiv.org/abs/math-ph/0701069
[76] R.
Gorenflo and F. Mainardi:
"Feller fractional diffusion and L\'evy stable motions",
in O.E. Barndorff-Nielsen, S.E. Graversen and T. Mikosch
(Editors),
Mini Proceedings of the MaPhySto Conference on
"L\'evy Processes: Theory and
Applications", Dept. Mathematics, University of Aarhus, Denmark,
18-22 Jan 1999. http://www.maphysto.dk PUBLICATIONS 1999,
Miscellanea No. 11, pp. 111-122.
[75] R. Gorenflo and F. Mainardi :
"Approximation of L\'evy-Feller diffusion by
random walk",
J. Analysis and its Applications (ZAA), Vol. 18, No 2, pp.
231-246 (1999).
[74] R. Gorenflo, G. De
Fabritiis and F. Mainardi :
"Discrete random walk models for symmetric L\'evy-Feller
diffusion processes",
Physica A, Vol. 269, No 1, pp. 79-89 (1999).
E-print http://arxiv.org/abs/cond-mat/9903264
[73] F.
Mainardi and F. Tampieri :
"Diffusion regimes in Brownian motion induced by the Basset
history force",
Technical Paper No 1 (ISAO-TP-99/1), ISAO-CNR, Bologna, March 1999, pp. 25.
[Invited Lecture, Meeting of TAO (Transport in the Atmosphere and
the Oceans) Working Group on Diffusion, Stockholm, Sweden,
6-11 October 1997]
[Invited Lecture, First General Workshop of the ESF Programme TAO:
"Transport in the Atmosphere and the Oceans", Palma de Mallorca, Spain,
8-11 January 1997].
[72] R. Gorenflo and F. Mainardi :
"Signalling problem and Dirichlet-Neumann map for time-fractional
diffusion-wave equations", Matimy\'as Matematika, Vol. 21,
pp. 109—118 (1998).
[Special issue of Matimy\'as Matematika .Official Journal of the
Mathematical Society of the Philippines), ISSN 0115-6926]]
Preprint No. A-07/98, Freie Universit\"at Berlin, Serie A Mathematik (1998). pp. 10.
See http://www.math.fu-berlin.de/publ/index.html
[71] R. Gorenflo,
F. Mainardi and H.M. Srivastava :
"Special functions in fractional relaxation-oscillation and
fractional diffusion-wave phenomena", in D. Bainov (Editor),
Proceedings VIII International Colloquium on Differential
Equations, Plovdiv 1997, VSP (International Science
Publishers), Utrecht (1998), pp. 195-202.
[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).
[69] F. Mainardi, P. Paradisi and R. Gorenflo :
"Probability distributions generated by fractional diffusion
equations",
Invited Lecture, Workshop on Econophysics, Budapest 21-27 July 1997.
LaTeX Pre-print, Dept. of Physics, Bologna,
January 1998, pp. ii +39.
E-print http://arxiv.org/abs/0705.0797
[It would have appeared in J. Kertesz and I. Kondor (Editors),
Econophysics: an Emerging Science, Kluwer, Dordrecht, book NOT published!]
[68] R. Gorenflo
and F. Mainardi :
"Fractional calculus and stable probability distributions",
Archives of Mechanics, Vol. 50, No 3, 377-388
(1998).
[67] F. Mainardi :
"Considerations on fractional calculus: interpretations and
applications",
in P. Rusev, I. Dimovski, V. Kiryakova (Editors),
Transform Methods and Special Functions, Varna 1996, pp.
594-597.
Institute of Mathematics \& Informatics, Bulg. Acad. Sci.,
Sofia (1998)
(ISBN 954-8986-05-1) pp. 614 + vi),
[Reprinted in KEY-NOTES, http://www.fracalmo.org]
nvited Contribution to Round Table Discussion,
"Physical and Geometrical Meanings of
Fractional Calculus Operators"
2-nd Int. Workshop on Transform Methods
and Special Functions,
Varna, Bulgaria, 23-29 August 1996
[66] F. Mainardi :
"Applications of Fractional Calculus in Mechanics",
in P. Rusev, I. Dimovski, V. Kiryakova (Editors),
Transform Methods and Special Functions, Varna 1996, pp. 309-334.
Institute
of Mathematics \&
Informatics, Bulg. Acad. Sci. Sofia (1998).
(ISBN 954-8986-05-1) pp. 614 + vi,
[Invited Lecture, 2-nd Int. Workshop on Transform Methods
and
Special Functions, Varna, Bulgaria, 23-29 August 1996]
[65] F. Mainardi and P. Paradisi :
"A model of diffusive waves in viscoelasticity based on
fractional calculus",
in O.R. Gonzales (Editor): Proceedings 36-th IEEE
CDC97 (Conference on Decision and Control, 1997), Paper ID
97i15-01 CD ROM, pp.6
[San Diego, California 10-12 December 1997]
[64] F. Mainardi and M. Tomirotti :
“Seismic pulse propagation with constant $Q$ and stable probability
distributions”, Annali Geofisica, Vol. 40, pp. 1311-1328
(1997).
[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]
Reprinted with revisions in NEWS 011201 Down-Load
[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]
Reprinted with revisions in NEWS 010101 Down-Load
[61] F. Mainardi:
"On Linear Differential Equations of Fractional Order",
in D. Bainov (Editor),
Proceedings VII International Colloquium on Differential Equations, Plovdiv 1996,
VSP (International Science Publishers), Utrecht (1997), pp. 221-229.
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