FDA Express Vol. 2, No. 3, Feb. 15, 2012
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Editors:
W. Chen H.G. Sun
X.D. Zhang
S. Hu
Institute of Soft Matter Mechanics, Hohai University
For contribution:
fdaexpress@hhu.edu.cn
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
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бЇ Conferences
The Fifth IFAC Symposium on Fractional Differentiation and Its Applications - FDA12
Computational Methods of Fractional Differential Equations
ICCC´2012бк13th INTERNATIONAL CARPATHIAN CONTROL CONFERENCE
бЇ Books
Fractional Order Signal Processing: Introductory Concepts and Applications
Statistical Inference for Fractional Diffusion Processes (Wiley Series in
Probability and Statistics)
бЇ Journals
Fractional Calculus and Applied Analysis
Chaos, Solitons & Fractals
бЇ Classical Papers
The
fundamental solution of the space-time fractional diffusion equation
бЇ Researchers & Groups
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Conferences
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The Fifth IFAC Symposium on Fractional Differentiation and Its Applications - FDA12
May 14-17 2012, Hohai University, Nanjing, China
Websiteг║http://em.hhu.edu.cn/fda12/
The 5th IFAC Symposium on Fractional Differentiation and Its Applications - FDA'12 will be held at Hohai University, Nanjing, China, from 14-17 May 2012. As you may know, this series of conferences is the largest of its kind, following the previous successful conferences, 2004 in France, 2006 in Portugal, 2008 Turkey, and 2010 in Spain.
The purpose of this Symposium in series is to provide the participants with a broad overview of the state of the art on fractional systems, leading to the cross-fertilization of new research on theoretical, experimental and computational fronts for potential uses of fractional differentiation in diverse applications. Major topics include but are not limited to: Anomalous diffusion; Vibration and Control; Continuous Time Random Walk; Levy Statistics, Fractional Brownian Motion; Stretched Gaussian; Power Law; Riesz Potential; Fractal Derivative and Fractals; Computational Fractional Derivative Equations; Nonlocal Phenomena; History dependent Process; Porous Media; Fractional Filters; Biomedical Engineering; Fractional Phase-Locked Loops; Fractional Variational Principles; Fractional Transforms; Fractional Wavelet; History of Fractional Calculus; Soft Matter Mechanics; Fractional Signal and Imaging Processing; Singularities Analysis and Integral Representations for Fractional Differential Systems; Special Functions Related to Fractional Calculus; Non-Fourier Heat Conduction; Acoustic Dissipation, Geophysics; Relaxation; Creep; Viscoelasticity; Rheology, etc.
The organization committee has by now received around 300 abstracts. This announcement is to remind you that the submission deadline for extended abstract (less than 4 pages) or full paper is February 15, 2012. The colleagues, who have not submitted, please do it as soon as possible. Many thanks for your participation.
For details please visit the FDA12 Symposium website http://em.hhu.edu.cn/fda12. For submission please contact fda12@hhu.edu.cn
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Prof. Wen
Chen, the Chair of Organization Committee
Prof. Dumitru Baleanu, the Chair of Program Committee
Prof. Francesco Mainardi, the Chair of Steering Committee
Prof.
YangQuan Chen, the Chair of Honors and Awards Committee
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Minisymposium
of
The 4th International Conference on Computational Methods (ICCM2012):
Computational
Methods of Fractional Differential Equations
November 25-27, 2012,
Gold Coast, Australia,
Website:
www.ICCM-2012.org
Track
Chair: Professor Fawang Liu, Emailbox: f.liu@qut.edu.au
Professor Ian Turner, Emailbox: i.turner@qut.edu.au
I would like to draw your attention to a minisymposium on "Computational Methods for Fractional Differential Equations" which will take place at The 4th International Conference on Computational Methods (ICCM2012), November 25-27, 2012, Gold Coast, Australia (www.ICCM-2012.org).
As I will be chairing the minisymposium, I am now soliciting papers to it. My goal is to make it as representative as possible of new computational methods and numerical analysis of fractional differential equations including finite difference method, finite element method, finite volume method, decomposition method, matrix method, meshless method, boundary element method, and their applications.
With interest I have seen some of your past work in this area. I would therefore be very happy if I could encourage you to take part in this symposium by submitting a paper.
In the process of planning the symposium, it would also be very helpful to hear from you about your possible interest in the conference as well as any work that you might consider to submit for the conference. Please send me abstract before 25 April 2012.
All papers accepted for publication in the proceedings will be subject to a full peer review. Only paper registered and presented at the ICCM2012 will be included in the Proceedings. A number of papers will be selected and invited to be developed into a full journal paper for publication in special issues of SCI and/or EI journals.
Deadlines:
Minisymposium submission due February, 2012
Deadline for submitting abstracts April 30, 2012
Notification of acceptance of abstracts May 31, 2012
Registration Start July 1, 2012
Deadline for submitting full papers July 30, 2012
Notification of acceptance of full papers August 31, 2012
Early registration due September 9, 2012
Deadline for registration of authors October 15, 2012
Website: www.ICCM-2012.org
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ICCC´2012бк13th INTERNATIONAL CARPATHIAN CONTROL CONFERENCE
Website: http://web.tuke.sk/ICCC/internet.php?param=default
Co-organizers:
Institute of Control and
Informatization of Production Processes
Faculty of
Mining, Ecology, Process Control and Geotechnology, Technical University of
Košice, Slovak Republic
Department of Control
Systems and Instrumentation
Faculty of
Mechanical Engineering, VŠB - Technical University of Ostrava, Czech Republic
Institute of Economics
and Control Systems
Faculty of
Mining and Geology, VŠB - TUO, Czech Republic
Department of Process
Control
Faculty of
Mechanical Engineering and Robotics, AGH University of Science and Technology,
Cracow, Poland
Department of Automation
and Communication Technology
University of
Miskolc, Hungary
Department of Automatic
Control
Faculty of
Automation, Computers and Electronics, University of Craiova, Romania
The aim of the conference is to support exchange of information and experience in the field of automation of engineering and production, in research, applications, and education. The conference will enable presentation of most recent advances in complex automation, robotics, modelling, control of production and technological processes, including quality control systems oriented to environmnet, means of support, and information technologies.
The scientific program of the ICCC´2012 conference is divided in eleven main areas, which will run in parallel:
Important Datesг║
Website: http://web.tuke.sk/ICCC/internet.php?param=default
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Books
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http://www.springerlink.com/content/978-3-642-23116-2#section=957548&page=1
About this book: Brief introduction to the field of fractional order signal processing; MATLAB tools to simulate the theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight; * Written by experts in the field.
The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.
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Statistical
Inference for Fractional Diffusion Processes
(Wiley Series in Probability and Statistics)
Stochastic processes are widely used for model building in the social, physical, engineering and life sciences as well as in financial economics. In model building, statistical inference for stochastic processes is of great importance from both a theoretical and an applications point of view.
This book deals with Fractional Diffusion Processes and statistical inference for such stochastic processes. The main focus of the book is to consider parametric and nonparametric inference problems for fractional diffusion processes when a complete path of the process over a finite interval is observable.
Key features:
Researchers and students working on the statistics of fractional diffusion processes and applied mathematicians and statisticians involved in stochastic process modelling will benefit from this book.
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Journals
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Fractional Calculus and Applied Analysis
Volume 15, Number 1 (2012)
Editorialг║
FCAA news:
Meetings and books
Virginia
Kiryakova
Research
Paper
Positive
solutions for a semipositone fractional boundary value problem with a forcing
term
John R. Graef,
Lingju Kong and Bo Yang
Research
Paper
Commutants of
composition operators induced by a parabolic linear fractional automorphisms of
the unit disk
Yuriy S.
Linchuk
Research
Paper
On some
inversion formulas for Riesz potentials and k-plane transforms
Boris Rubin
Research
Paper
On the
existence of solutions of fractional integro-differential equations
Asadollah
Aghajani, Yaghoub Jalilian and Juan J. Trujillo
Survey Paper
Fractional
dynamics of allometry
Bruce J. West
and Damien West
Research
Paper
Impulse
response of a generalized fractional second order filter
Zhuang Jiao
and YangQuan Chen
Short Note
Erdижlyi-Kober
fractional diffusion
Gianni
Pagnini
Research
Paper
On an
equation being a fractional differential equation with respect to time and a
pseudo-differential equation with respect to space related to Lижvy-type
processes
Ke Hu, Niels
Jacob and Chenggui Yuan
Research
Paper
Initial-boundary-value problems for the one-dimensional time-fractional
diffusion equation
Yuri Luchko
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Volume 45, Issue 3 (February 2012)
Generalized
synchronization of strictly different systems: Partial-state synchrony
J.G. Barajas Ramикrez, K.P. Cuижllar Galarza, R. Femat
The effect of
water level in a prey-predator interactions: A nonlinear analysis study
N. Chiboub
Fellah, S.M. Bouguima, A. Moussaoui
Detecting
low-dimensional chaos by the б░noise titrationб▒ technique: Possible problems and
remedies
Jianbo Gao,
Jing Hu, Xiang Mao, Wen-wen Tung
A note on
biased fundamentalists
Ahmad K.
Naimzada, Giorgio Ricchiuti
Stability and
Hopf bifurcation for a delayed predatorиCprey model with disease in the prey
Guang-Ping Hu,
Xiao-Ling Li
Analyzing
logistic map pseudorandom number generators for periodicity induced by finite
precision floating-point representation
K.J. Persohn, R.J. Povinelli
An algorithm
for computing the centered Hausdorff measures of self-similar sets
Marta
Llorente, Manuel Morивn
Singularity
and L2-dimension of self-similar measures
Sze-Man Ngai
A
linearization based non-iterative approach to measure the gaussian noise level
for chaotic time series
Gи╣rsan Çoban,
Ali H. Bи╣yи╣klи╣, Atin Das
Stochastic
fractional differential equations: Modeling, method and analysis
Jean-C.
Pedjeu, Gangaram S. Ladde
Ternary
choices in repeated games and border collision bifurcations
Arianna Dal
Forno, Laura Gardini, Ugo Merlone
Hartleyбпs
oscillator: The simplest chaotic two-component circuit
Robert
Tchitnga, Hilaire Bertrand Fotsin, Bonaventure Nana, Patrick Hervиж Louodop Fotso,
Paul Woafo
Hyperbolicity
of the invariant sets for the real polynomial maps
Xu Zhang
Symmetric
Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited
Franz Waldner,
Rainer Klages
Stability,
attractors, and bifurcations of the A2 symmetric flow
J.M. Gonzивlez-Miranda
Chaos
suppression on a class of uncertain nonlinear chaotic systems using an optimal
Hб▐ adaptive PID controller
Alireza Alfi
Tokunaga and
Horton self-similarity for level set trees of Markov chains
Ilia Zaliapin,
Yevgeniy Kovchegov
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Classical Papers
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The fundamental solution of the space-time fractional diffusion equation
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F. Mainardi, Yu. Luchko and G. Pagnini
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(Contributed by Prof. F. Mainardi)
Publication information: Fractional Calculus and Applied Analysis, Vol. 4, No 2, 153-192 (2001).
E-print http://arxiv.org/abs/cond-mat/0702419
Abstract: We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz-Feller derivative of order ж┴ б╩ (0, 2] and skewness ж╚ (|ж╚| б▄ min {ж┴, 2 - ж┴}), and the first-order time derivative with a Caputo derivative of order ж┬ б╩ (0, 2] . The fundamental solution (Green function) for the Cauchy problem is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. We review the particular cases of space-fractional diffusion {0 < ж┴ б▄ 2 , ж┬ = 1} , time-fractional diffusion {ж┴ = 2 , 0 < ж┬ б▄ 2} , and neutral-fractional diffusion {0 < ж┴ = ж┬ б▄ 2} , for which the fundamental solution can be interpreted as a spatial probability density function evolving in time. Then, by using the Mellin transform, we provide a general representation of the Green functions in terms of Mellin-Barnes integrals in the complex plane, which allows us to extend the probability interpretation to the ranges {0 < ж┴ б▄ 2} б╔ {0 < ж┬ б▄ 1} and {1 < ж┬ б▄ ж┴ б▄ 2}. Furthermore, from this representation we derive explicit formulae (convergent series and asymptotic expansions), which enable us to plot the spatial probability densities for different values of the relevant parameters ж┴, ж╚, ж┬.
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Researchers &
Groups
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Born at Lugo (Ravenna), Italy, on 29 December 1942.
Free Professor of Mathematical Physics c/o
Department of Physics, University of Bologna,
Via Irnerio 46, I-40126 BOLOGNA, Italy
Tel. : +39-051-2091098 FAX : +39-051-247244
E-mail : francesco.mainardi@unibo.it (mainardi@bo.infn.it)
Home Page: URL:
http://www.fracalmo.org/mainardi/index.htm
http://www.unibo.it/docenti/francesco.mainardi
DEGREES
- Master
Degree in Theoretical Physics in 1966, University of Bologna
- Diploma Advanced School in Physics in 1971, University of Bologna
POSITIONS
- Lecturer of
Rational Mechanics, University of Ancona, 1971-73
- Assistant Professor of Mathematical Physics, University of Bologna, 1973-83
- Associate Professor of Mathematical Physics, University of Bologna, 1983-
TEACHING
ACTIVITY
Since 1975 he has given courses on Mathematical Physics for ungraduated and
graduated students in Physics of the University of Bologna.. For the recent
activity, see
http://www.unibo.it/docenti/francesco.mainardi
Under this position he has supervised several Master and PhD thesis in
Mathematical Physics
RESEARCH INTERESTS: asymptotic methods in applied mathematics, special functions and fractional calculus, continuum mechanics (solids and fluids) with special regard to linear viscoelasticty, mathematical aspects of wave propagation and diffusion, stochastic models in statistical physics.
SCIENTIFIC PUBLICATIONS
He is author
of several papers (~150) on Applied Mathematics, Continuum Mechanics, Wave
Motion, Diffusion, Special Functions, Fractional Calculus, Stochastic Processes,
published in international refereed journals and books, The complete list of
publications (papers and books) is enclosed. The impact of his publications
can be seen in GOOGLE-SCHOLAR, see the citations:
http://scholar.google.com/scholar?hl=en&lr=&q=f+mainardi
and the profile. A number of papers have more than
300 citations.
BOOKS
1. He is the
Author of the book "Fractional Calculus and Waves in Linear Viscoelasticity",
Imperial College Press, London (2010), pp. 340, ISBN 978-1-84816-329-4, see:
http://www.icpress.co.uk/mathematics/p614.html
2. He is Co-author (with S. Rogosin) of the book "The Legacy of A.Ya.
Khintchine's Work in Probability Theory", Cambridge Scientific Publ. Cambridge,
(2011), pp 280. ISBN 978-1-904868-64-4, see
http://www.cambridgescientificpublishers.com/
3. He is the Editor of the book "Wave Propagation in Viscoelastic Media",
published by Pitman, London (1982) in the series of "Pitman Research Notes in
Mathematics" (No 52), which contains selected lectures held at the Euromech 127.
4. He is the Co-Editor (with A. Carpinteri) of the book "Fractals and
Fractional Calculus in Continuum Mechanics", published by SpringerVerlag, Wien
(1997) in the series of "CISM Courses and Lectures" (No 378). This book contains
selected lectures held at the CISM Course including two survey lessons by him.
5. He is Co-Editor (with A Guran, A. De Hoop, D. Guicking) of the book
б░Acoustic
Interactions with Submerged Elastic Structures: Part III: Acoustic Propagation
and Scattering, Wavelets and Time Frequency Analysisб▒.World Scientific,
Singapore (2001), pp. 422, ISBN 981-02-2950-X.
EDITORIAL BOARDS AND REFEREE
He is in the Editorial Board of Fractional Calculus and Applied Analysis
(Versita-Springer) and of Chaos, Solitons and Fractals (Elsevier).
He is a referee of several qualified journals, including Physica A, Physica D,
J. Math. Physics, J. Statistical Physics, J Appl. Maths and Comput., Appl. Maths
and Comp., J. Physics A Math-Gen, etc..
High
citation articles of Prof. Prof.
F. Mainardi:
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://arxiv.org/abs/0805.3823]
F. Mainardi "Fractional relaxation-oscillation and
fractional diffusion-wave phenomena", Chaos, Solitons and Fractals, Vol. 7, No
9, pp. 1461-1477 (1996).
Other links:
URL:
http://www.fracalmo.org/mainardi
http://scholar.google.com/scholar?hl=en&lr=&q=f+mainardi
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