FDA Express Vol. 3, No. 3&4, May 30, 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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In the last issue, we wrote the wrong title of the book authored by Ivo Petr芍š. We are very sorry for this edit error and have revised this mistake in the current issue.
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↑ Conferences
Notices for FDA2012
Summary of the 5th Symposium on Fractional Differentiation and Its Application
Report of the Steering Committee meeting in FDA2012
Summary of Sino-German Bilateral Workshop on Fractional Dynamics: Recent Advances
↑ Call for paper
Fractional
Differential Equations (2012)
Mathematical Problems in Engineering
Special Issue on New Challenges in Fractional Systems
↑ Books
Encounters with Chaos and Fractals (Second Edition)
Fractional-Order Nonlinear Systems
↑ Journals
An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity
Journal of Applied
Nonlinear Dynamics
↑ Classical Papers
Time and space nonlocalities underlying fractional-derivative models:
Distinction and literature review of field applications
↑ Researchers & Groups
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Conferences
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The Fifth Symposium on Fractional Differentiation and its Application is finally over, and all the participants from around the world have made this symposium a successful event.
This notice is to call your attention on the following issues:
1. The detailed instructions and time schedules about all journal special issues are now available at: http://em.hhu.edu.cn/fda12/Specialissues.html Please prepare and submit your paper following introductions in this website. In your submission cover letter please mention that your study was presented at the FDA2012.
2. Photos gallery of FDA2012 and Sino-China workshop are open download at: http://em.hhu.edu.cn/fda12/photofda12.htm
If you have further inquiries or comments, please email us at fda12@hhu.edu.cn or sun.fda2012@gmail.com.
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Summary of the 5th Symposium on Fractional Differentiation and Its Application
The 5th Symposium on Fractional Differentiation and Its Application (FDA'2012) was held on 14th-17th May 2012 in Hohai University, Nanjing, China. This Symposium has received 325 abstracts and 256 full papers, covering most theoretical and application fields of fractional calculus. More than 260 delegates attended this conference, including 110 plus from 31 countries and regions outside mainland China as well as those for Sino-German Bilateral Workshop. The FDA12 slogan is ※to be challenged, excited and inspired§
In the morning of 14 May 2012, the Chair of Organization Committee, Prof. Wen Chen, opened the conference. And then the associate director of International Office of Hohai University made a brief introduction on the Hohai University, with a focus on its current status and future plans for international cooperation and exchanges, followed by Professor Bolin Guo, an academician of prestigious Chinese Academy of Sciences, to make an opening speech.
This series of conferences is held every two years, previously, in France (2004), Portugal(2006), Turkey (2008), and Spain (2008). The 5th Symposium on Fractional Differentiation and Its Application is the largest of its kind and contains 6 plenary speeches, 10 semi-plenary speeches, 27 keynote lectures, 12 minisymposiums as well as many posters. For more details please see http://em.hhu.edu.cn/fda12.
The FDA'2012 highlights the cross-disciplinary interaction, cross-fertilization and world-wide participation. Delegates comes from a wide variety of disciplines, such as mechanics, physics, mathematics, control engineering, material sciences, biology, geological engineering, signal processing, just to mention a few.
The contributed papers of high quality will be peer-reviewed for the publication in the special issues of 4 SCI indexed journals.
According to voting results, the Honors and Awards Committee conferred the four international academic awards: Mittag-Leffler FDA Achievement Award, Riemann-Liouville Best FDA Papers Award on Theory and Application, Gr邦nwald-Letnikov Best Student Papers Award on Theory and Application and FDA Dissemination Award.
During the FDA'2012 conference, the Steering Committee decides that the 2014 FDA conference will be held in Italy.
The FDA'2012 is financially supported by the National Natural Science Foundation of China and Hohai University.
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Report of the Steering Committee meeting in FDA2012:
MINUTES of the MEETING of FDA STEERING COMMITTEE
held on Wednesday 16 May 2012, 20-22 pm, at Jindun Hotel, 6 floor, Nanjing.
(Contributed by FDA12 Steering Committee Chair, Prof. Francesco Mainardi)
Persons taking part in the meeting (it was open)
STEERING COMMITTEE of FDA12, as was assigned it advance,
11 present of 15 on the list:
X Francesco Mainardi
(Italy) 每 Chair
X Virginia Kiryakovia (Bulgaria) 每 Co-chair
0 Richard L Magin (USA) 每 Co-chair
X Changpin Li (China) 每 Co-chair
X Dumitru Baleanu (Turkey) 每 Chief of FDA'08
X Riccardo Caponetto (Italy) 每 Chief of future FDA
As stated at the FDA12 website, the role of the Steering Committee is as follows:
The role of Steering Committee is to guide the direction of this series of FDA conferences retaining its continuity and success, and design the schemes to grow our community of multi-disciplinary and world-wide participation, and most importantly, make strategic decisions on the evolution path of our ever-increasing society.
At the meeting other qualified scientists were invited to contribute to the discussion, including:
R. Nigmatullin (Russia), M. Shitikova (Russia), S. Momani (Jordan), R. El-Kazali (UAE), E.M. Rabei (Jordan), M.P. Lazarevic (Serbia), S. Holm (Norway), E. Barkai (Israel), W. Deng (China), D. Xue (China), H-S. Anh (Korea), F. Liu (Australia), Z. Wang (China), J-C Trigeassou (France), K.M. Furati (Saudi Arabia), R. Metzler (Germany), A. Blumen (Germany), H. Li (China).
The complete list of all these participants, with their Institutions and e-mail addresses is enclosed (ParticipantsFDASteeringCommitteeMeeting.xls) which can be downloaded here.
AGENDA of the meeting
The President (F. Mainardi) has pointed out the TWO TOPICS to be treated:
1: How to manage the relationships between FDA and IFAC
2: How to edit the list for the forthcoming FDA in the next few years.
The discussions held for more than 2 hours and almost all presented people gave their opinions on the agenda's topics and argued on the pros and cons of any possible decision.
DECISIONS
1: Concerning TOPIC 1, after many discussions that have involved more than 15 participants, the whole assembly (with the exception of the 2 French participants Trigeassou and Malti) decided that for the next FDA international conferences
(either named as workshops, symposia or better as international conferences) it is not mandatory for the organizers to require the SPONSORSHIP of IFAC. Because they (IFAC) impose strict bureaucratic rules not always compatible with the needs of a World (!) conference like FDA that involves already hundreds of participants not only from the framework of control theory dealt by IFAC.
The recent FDA meetings attracted so many participants from all continents, with much more diversified interests and contributions not only on control, mathematics and engineering (as dominant for previous FDA) but also in physics, statistics, economics, etc., so the hat of workshops (as sub-100 attendants), implemented in frames of other events and depending on their own schedule (as IFAC World Congress, or any others for similar organizations) sound already too narrow. The growing FC community needs establishment of an independent organization on FDA, with its own by-laws/charters to be discussed, say at next 2014 FDA.
The assembly recognizes the merits of the CRONE Team in Bordeaux who started the FDA meeting series, and is especially grateful to Prof J. Sabatier (unfortunately not present) for having been the pioneer of this type of international meetings devoted to Fractional Differentiation and Applications and for having tried to mediate between IFAC and the actual Steering Committee. Their contribution in creating the IFAC FDA meeting series should be always highlighted and recognized in the history of international conferences FDA
.However, because the large majority of the extended Steering Committee is convinced that the international community of fractional calculus must be free from the strict bureaucratic constraints imposed by IFAC (as well by any other governing institution) without providing any financial support, and that the successful series of FDA as international conferences must be continued in any TWO years (biennially), has decided that: the future organizers of FDA are free to require or not the banner of IFAC, and consequently do not use the LaTeX style of IFAC for the submitted papers if the sponsorship of IFAC is not required. The same concerns possible support from other organizations: the future FDA conferences and related events can be sponsored by IFAC, IEEE, SIAM, ASME etc., depending on Organizers＊ decision plus Steering Committee＊s suggestion. In this respect, also the issue for ensuring EI-indexed papers for every international FDA conference should be carefully maintained. This will benefit our community, in particular young authors.
The Committee consensus is to have a flagship international conferences FDA (ICFDA?) every two years, while any other FDA and FC related meetings, regular or ad hoc, are welcome and supported by our growing community, such as:
- IFAC SSSC/TDS/FDA (2013, 2016) 每 IFAC TC2.2 now merged as a joint conference of 3 workshops;
- ASME/IEEE MESA FDTA (2011, 2013, 2015) 每 new hosting ASME TC;
- IEEE/ASME MESA FDTA (2012, 2014, 2016) 每 much smaller scale
- FSS (by M. Ortiguerria); - SAFC (by B. Vinagre); - TMSF (by V. Kiryakova); - SOFA'12 (Algerie); - IEEE MESA FDC, - AFC@USU;
- Many sessions / minisymposia at various big conferences, etc.
2: Concerning TOPIC 2, the Steering Committee has confirmed for 2014 the candidature for ITALY of Prof. R. CAPONETTO, already advanced by him at FDA08 in Ankara. For 2016 two candidatures were advanced and discussed, one from Prof. D. SPASIC, to be under Chair of Prof T. ATANACKOVIC for SERBIA, and one from Prof S. MOMANI for JORDAN to be a host. After some discussions the proposers have met a consensus and agreed for SERBIA in 2016 and JORDAN in 2018.
As a consequence, the Steering Committee have stated the following list (CALENDAR of FDA) for the years 2014, 2016, 2018:
- 2014 ITALY: Chairman Prof Riccardo CAPONETTO. Seat: Catania, Sicily
- 2016 SERBIA: Chairman Prof. Teodor ATANACKOVIC. Seat: Novi Sad
- 2018 JORDAN: Chairman Prof. Shaher MOMANI.
Prof. Caponetto has confirmed his availability and has ensured that at his earliest convenience will set up a WEB site for FDA'14 and will contact scientists by e-mail for promoting the FDA in Catania, presumably in June or September 2014.
Of course at FDA'14 in Catania the new Steering Committee will require confirmation to the organizers of FDA'16 and FDA'18.
- IFAC SSSC/TDS/FDA 2013 (FRANCE, Grenoble), as previously announced, was confirmed as FC community＊s major next coming event that continues the IFAC FDA tradition, started by CRONE team. There is no conflict found in all these planned events. Some troubles are caused only by the time schedule having two of them in subsequent years as 2013 and 2014, and binding IFAC SSSC/TDS/FDA to be in 3 years＃
For future flagship FDA conferences, it was recommended to have them in ※even number§ years, biannually.
3: VARIA. LAST BUT NOT THE LEAST the assembly has proposed to enlarge the official composition of the Steering Committee of FDA (as it appears in the beginning of this document) to other scientists well known in the international community of fractional calculus. The following scientists (present at the meeting) have been proposed to enter the Steering Committee and they have agreed:
Raoul Nigmatullin (Russia)
Reyad El-Khazali (UAE)
Shaher Momani (Jordan) 每 Chief of future FDA'18
Eli Barkai (Israel)
Ralf Metzler (Germany)
Rachid Malti (France)
Jean-Claude Trigeassou (France)
However this enlarged list is not definitive and is subject to possible revisions before the final approval. For example, Teodor Atanackovic (as Chief of future FDA'16) would be added.
The actual president of the Committee, Francesco Mainardi has expressed his willing to withdraw his role of President in view of his forthcoming retirement from the University of Bologna.
Signed by F. Mainardi, Nanjing 17 May 2012 - Bologna 30 May 2012
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Summary of Sino-German Bilateral Workshop on Fractional Dynamics: Recent Advances
The Sino-German Bilateral Workshop on Fractional Dynamics: Recent Advances was held on 13th-18th May 2012 in Hohai University, Nanjing, China. This Workshop was fully sponsored by the Sino-German Center for Research Promotion.
Among 25 delegates are 7 from Germany, 15 from China and 2 from Israel. The purpose of this Workshop is to kick off the collaboration between China and Germany sides in the field of fractional dynamics..
After the meeting colleagues session, the first activity is to visit the Hydrodynamics Laboratory of the Hohai University in the morning of 14th May. In the afternoon, the executive director of the Sino-German Center for Research Promotion, Mr. Lesheng Chen, made an opening speech of this workshop and introduced the basic functions and programs supported by the Center to promote academic linkage and collaborations between China and Germany He wishes that the delegates establishcooperation and apply Sino-German bilateral cooperation project, based on the sufficient exchanges.
Prof. Ralf Metzler and Prof. Weihua Deng, coordinators of this Workshop, made a brief introduction on this Sino-German Bilateral Workshop. 33 presentations were made, with a range of topics such as random walks, anomalous diffusion, abnormal statistics, theoretical analysis, numerical schemes, applications, highlighting challenges and new problems.
This Workshop has plowed a seed for the academic exchanges and collaboration among scholars from China, Germany and Israel.
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(Contributed by Prof. M. Ortigueira)
The submission date is July 25.
That will be a very interesting conference. The Proceedings of ICNAAM 2012 will be published in the very famous AIP (American Institute of Physics) Conference Proceedings and selected full papers at
Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) (Promacon),
Mathematical Methods in the Applied Sciences (Wiley & Sons)
Special Issue of the Journal of Statistical Theory and Practice on "Distribution Theory, Estimation and Inference".
Applied Mathematics & Information Sciences (AMIS)
Hoping to meet you at Kos
M. Ortigueira
Manuel Duarte Ortigueira
UNINOVA and DEE/ Faculdade de Ci那ncias e Tecnologia da UNL
Campus da FCT
Quinta da Torre
2829-516 Caparica
Portugal
Tel. +351 212948520 exto 11943
Fax. +351 212948532 and +351 212947786
http://www.uninova.pt/~mdortigueira
mdo@fct.unl.pt and mdortigueira@uninova.pt
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Call
for paper
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Fractional Differential Equations (2012)
(Contributed by Prof. Fawang Liu)
In recent years, a growing number of works by many authors from various fields of science and engineering deal with dynamical systems described by fractional differential equations. Fractional differential equations are generalization of ordinary differential equations to arbitrary (noninteger) order. Fractional differential equations capture nonlocal relations in space and time with power law memory kernels. Due to extensive applications in engineering and science, research in fractional differential equations has become intense around the world.
We invite authors to present original research articles as well as review articles in the area of fractional differential equations and their applications. This special issue will become an international forum for researches to present the most recent developments and ideas in the field. Potential topics include, but are not limited to:
•
Mathematical modeling of fractional dynamic systems
• Analytical and numerical methods to solve these equations
• Fractional image processing
• Anomalous diffusion
• Theorem of fractional difference equations
• Fractional model of viscoelastic damping
• Fractional controller design and system identification
• Stability analysis of fractional systems
• Nonlinear and stochastic fractional dynamic systems
• Fractional models and their experimental verifications
• Applications of fractional models to engineering systems
• Fractional models in geophysics
• Fractional random fields
• Probabilistic solutions of FDE
• Fractional dynamics and control
Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijde/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:
Manuscript Due Friday, 1 June 2012
First Round of Reviews Friday, 24 August 2012
Publication Date Friday, 19 October 2012
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Mathematical Problems in Engineering Special Issue on New Challenges in Fractional Systems
Fractional order differentiation consists in the generalization of classical integer differentiation to real or complex orders. From a mathematical point of view, several interpretations of fractional differentiation were proposed, but there is still a deep debate about it. The fractional differentiation and fractional integration are nonlocal operations based on an integral with a singular kernel. This explains why these operators are still not well defined and that several definitions still coexist. Since the first recorded reference work in 1695 up to the present day, many papers have been published on this subject, but much progress still to be done particularly on the relationship of these different definitions with the physical reality of a system.
A fractional order system is a system described by an integrodifferential equation involving fractional order derivatives of its input(s) and/or output(s). From a physical point of view, linear fractional derivatives and integrals order systems are not classical linear systems and not quite conventional distributed parameter systems. They are in fact halfway between these two classes of systems and are a modelling tool well suited to a wide class of phenomena with nonstandard dynamic behaviour, and the applications of fractional order systems are now well accepted in the following disciplines:
Signal processing (filtering, restoration, reconstruction, analysis of fractal noises, etc.)
Image processing (fractal environment modelling, pattern recognition, edge detection, etc.)
Economy (analysis of stock exchange signals, etc.)
Electrical engineering (modelling of motors, transformers, skin effect, etc.)
Electronics, telecommunications (phase locking loops, etc.)
Electromagnetism (modelling of complex dielectric materials, etc.)
Electrochemistry (modelling of batteries and ultracapacitors, etc.)
Thermal engineering (modelling and identification of thermal systems, etc.)
Mechanics, mechatronics (viscoelasticity, vibration insulation, etc.)
Automatic control (system identification, observation, and control of fractional systems, etc.)
Biology, biophysics (signal and models of biological systems, viscoelasticity in biology, etc.)
Physics (analysis and modelling of diffusion phenomenon, etc.)
The goal of the present special issue is to address the latest developments in the area of fractional calculus application in signals and systems. Papers describing original research work that reflects the recent theoretical advances and experimental results as well as open new avenues for research are invited on all aspects of object tracking.
Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/mpe/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript
Tracking System at http://mts.hindawi.com/ according to the following timetable:
Manuscript Due: Friday, 9 November 2012
First Round of Reviews: Friday, 1 February 2013
Publication Date: Friday, 29 March 2013
Lead Guest Editor
Jocelyn Sabatier, University of Bordeaux 1, Bordeaux, France; jocelyn.sabatier@u-bordeaux1.fr
Guest Editors
Clara Ionescu, Ghent University, Ghent, Belgium; claramihaela.ionescu@ugent.be
J車zsef K芍zm谷r Tar, Óbuda University, Budapest, Hungary; tar.jozsef@nik.uni-obuda.hu
Jos谷 A. Tenreiro Machado, Institute of Engineering of Polytechnic of Porto, Porto, Portugal; jtm@isep.ipp.pt
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Books
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Denny Gulick
http://www.crcpress.com/product/isbn/9781584885177
Features
Summary
Now with an extensive introduction to fractal geometry
Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications.
Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set.
With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.
Table of contents
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Fractional-Order Nonlinear Systems
Ivo Petr芍š
http://www.springer.com/engineering/control/book/978-3-642-18100-9
A clear examination of the stability theory of fractional dynamical systems, with examples
Presents complex concepts in fractional dynamical systems in easy-to-understand fashion
Integrates Matlab programs and Simulink models for interactive learning
"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order.
The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level.
Ivo Petr芍š is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.
Keywords: Control of chaos - Fractional calculus - Fractional chaotic systems - Matlab programs chaos - Simulink models - Stability of fractional order systems
Related subjects: Control Engineering - Dynamical Systems & Differential Equations - Statistical Physics & Dynamical Systems
Table of contents
Introduction
Fractional Calculus
Fractional-Order Systems
Stability of Fractional-Order Systems
Fractional-Order Chaotic Systems
Control of Chaotic Systems.- Conclusion
[Back]
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Sergei V. Rogosin, Anna A. Koroleva
http://www.springer.com/mathematics/analysis/book/978-3-0348-0416-5
This book contains survey papers based on the lectures presented at the 3rd International Winter School ※Modern Problems of Mathematics and Mechanics§ held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics.
Keywords: Möbius transformation - Riemann zeta-function, universality - anomalous diffusion - fractional differential equations - multiply connected domains - non-commutative geometry
Related subjects: Analysis - Dynamical Systems & Differential Equations - Number Theory and Discrete Mathematics
Table of contents
[Back]
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, Issue 6
Routes to chaos in continuous mechanical systems. Part 1: Mathematical models and solution methods
J. Awrejcewicz, V.A. Krysko, I.V. Papkova, A.V. Krysko
Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics
A.V. Krysko, J. Awrejcewicz, I.V. Papkova, V.A. Krysko
Routes to chaos in continuous mechanical systems. Part 3: The Lyapunov exponents, hyper,
hyper-hyper and spatial每temporal chaos
J. Awrejcewicz, A.V. Krysko, I.V. Papkova, V.A. Krysko
Synchronization of fractional order chaotic systems using active control method
S.K. Agrawal, M. Srivastava, S. Das
A note on stronger forms of sensitivity for dynamical systems
Risong Li
A note on uniform convergence and transitivity
Risong Li
Extending the D＊alembert solution to space每time Modified Riemann每Liouville fractional wave equations
Cresus F.L. Godinho, J. Weberszpil, J.A. Helayël-Neto
Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial
perturbations
P. Yu, M. Han
Bifurcation structure of chaotic attractor in switched dynamical systems with spike noise
Akihito Matsuo, Hiroyuki Asahara, Takuji Kousaka
Entropy estimation of the H谷non attractor
Chihiro Matsuoka, Koichi Hiraide
Experimental observation on asymmetric energy flux within the forbidden frequency band in the LC transmission line
Feng Tao, Weizhong Chen, Junting Pan, Wen Xu, Sidan Du
Spectrum optimization-based chaotification using time-delay feedback control
Jiaxi Zhou, Daolin Xu, Jing Zhang, Chunrong Liu
One- and two-cluster synchronized dynamics of non-diffusively coupled Tchebycheff map networks
Mirko Schäfer, Martin Greiner
Time-clustering behavior of sharp fluctuation sequences in Chinese stock markets
Ying Yuan, Xin-tian Zhuang, Zhi-ying Liu, Wei-qiang Huang
The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method
V.O. Vakhnenko, E.J. Parkes
Estimation of time-delayed mutual information and bias for irregularly and sparsely sampled time-series
D.J. Albers, George Hripcsak
Synchronization dynamics in a small pacemaker neuronal ensemble via a robust adaptive controller
O. Cornejo-P谷rez, G.C. Solı´s-Perales, J.A. Arenas-Prado
Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems
A. Algaba, C. Garc赤a, M. Reyes
Regularity dimension of sequences and its application to phylogenetic tree reconstruction
Tuan D. Pham
Synchronized oscillations on a Kuramoto ring and their entrainment under periodic driving
Tarun Kanti Roy, Avijit Lahiri
An adaptive stochastic model for financial markets
Juan Antonio Hern芍ndez, Rosa Marı´a Benito, Juan Carlos Losada
Anomalous diffusion approach to dielectric spectroscopy data with independent low- and high-frequency exponents
Aleksander Stanislavsky, Karina Weron
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An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity
Volume 1, Number 1 March 2012
(Contributed by Prof. J. Tenreiro Machado)
Heavy-tailed Distributions in Some Stochastic Dynamical Modelss
Ph. Blanchard, T. Kr邦ger and D. Volchenkov
Sources and Sinks of Energy Balance for Nonlinear Atmospheric Motion Perturbed by West-to-east Winds Progressing on a Surface of a Rotating Spherical Shell
Ranis N. Ibragimov, Michael Dameron and Chamath Dannangoda
Secure Communication Based on Chaotic Cipher and Chaos Synchronization
Maricela Jim谷nez-Rodr赤guez, Rider Jaimes-Reategui, Alexander N. Pisarchik
Regularization of Map-based Neuron Models Using Phase Control
Javier Used, Alexandre Wagemakers and Miguel A.F. Sanju芍n
Statistical Mechanics of Fragmentation-advection Processes and Nonlinear Measurements Problem.
I.
Available online at http://www.lhscientificpublishing.com/journals/DNC.html
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(Contributed by Prof. J. Tenreiro Machado )
Lie Algebraic Approach to Nonlinear Integrable Couplings of Evolution Type
Adaptive Emission Control of Freeway Traffic Using Quasi-Stationary Solutions of an Approximate Hydrodynamic Model
Two Kinds of Multiple Wave Solutions for the Potential YTSF Equation and a Potential YTSF-Type Equation
On Controlling Milling Instability and Chatter at High Speed
Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential
Entropy Analysis of Fractional Derivatives and Their Approximation
Available online at http://www.lhscientificpublishing.com/journals/JAND.html
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Time and space nonlocalities underlying fractional-derivative models:
Distinction and literature review of field applications
Yong Zhang, David A. Benson, Donald M. Reeves
Publication information: Yong Zhang, David A. Benson, Donald M. Reeves. Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications. Advances in Water Resources 32 (2009) 561每581.
We investigate the spatiotemporal nonlocality underlying fractional-derivative models as a possible explanation for regional-scale anomalous dispersion with heavy tails. Properties of four fractional-order advection每dispersion equation (fADE) models were analyzed and compared systematically, including the space fADEs with either maximally positive or negative skewness, the time fADE with a temporal fractional-derivative 0 < g< 1, and the extension of the time fADE with 1 < g< 2. Space fADEs describe the dependence of local concentration change on a wide range of spatial zones (i.e., the space nonlocality), while time fADEs describe dynamic mass exchange between mobile and multiple immobile phases and therefore record the temporal history of concentration "loading" (i.e., the time-nonlocality). We then applied the fADEs as models of anomalous dispersion to four extensively-studied, regional-scale, natural systems, including a hillslope composed of fractured soils, a river with simultaneous active flow zones and various dead-zones, a relatively homogeneous glaciofluvial aquifer dominated by stratified sand and gravel, and a highly heterogeneous alluvial aquifer containing both preferential flowpaths and abundant aquitards. We find that the anomalous dispersion observed at each site might not be characterized reasonably or sufficiently by previous studies. In particular, the use of the space fADE with less than maximally positive skewness implies a spatial dependence on downstream concentrations that may not be physically realistic for solute transport in watershed catchments and rivers (where the influence of dead-zones on solute transport can be described by a temporal, not spatial, fractional model). Field-scale transport studies show that large ranges of solute displacement can be described by a space nonlocal, fractional-derivative model, and long waiting times can be described efficiently by a time-nonlocal, fractional model. The unknown quantitative relationship between the nonlocal parameters and the heterogeneity, and the similarity in concentration profiles that are solutions to the different nonlocal transport models, all demonstrate the importance of distinguishing the representative nonlocality (time and/or space) for any given regional-scale anomalous dispersion process.
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Institute of Space Sciences, P.O. Box, MG_23, R 76900, Magurele-Bucharest, Romania
Tel. (Office): +90-312-284 45 00 (309)
(Part of information comes from Website:
http://academic.cankaya.edu.tr/~dumitru/)﹛
Employment:
Visiting Assistant Professor ( 2001-2208 ), Çankaya University, Faculty of Art and Sciences, Department of Mathematics and Computer Sciences, Balgat 0630, Ankara, Turkey
Visiting Associate Professor ( 2001-2008), Çankaya University, Faculty of Art and Sciences, Department of Mathematics and Computer Sciences, Balgat 0630, Ankara, Turkey
Visiting Professor (since December 2008), Çankaya University, Faculty of Art and Sciences, Department of Mathematics and Computer Sciences, Balgat 0630, Ankara, Turkey
Professor, Institute of Space Sciences, P.O. Box, MG_23, R 76900, Magurele-Bucharest, Romania (since April 2006).
Main Research Interests:
Fractional Calculus and its applications Discrete Mathematics
Quantisation of the systems with constraints
Hamilton-Jacobi formalism
Geometries admitting generic and non-generic symmetries
Chemometric techniques and their applications
The Wavelet method and its applications
Dynamic Systems on Time Scales
Book:
Fractional Calculus Models and Numerical Methods, authors: D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, World Scientific, 2010
Selected Papers:
Monotone iterative method for a class of nonlinear fractional differential equations
Wang Guotao; Baleanu Dumitru; Zhang Lihong
FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 2 Pages: 244-252 DOI: 10.2478/s13540-012-0018-z Published: JUN 2012
Fractional Pais-Uhlenbeck Oscillator
Baleanu Dumitru; Petras Ivo; Asad Jihad H.; et al.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS Volume: 51 Issue: 4 Pages: 1253-1258 DOI: 10.1007/s10773-011-1000-y Published: APR 2012
Stability analysis of Caputo fractional-order nonlinear systems revisited
Delavari Hadi; Baleanu Dumitru; Sadati Jalil
NONLINEAR DYNAMICS Volume: 67 Issue: 4 Pages: 2433-2439 DOI: 10.1007/s11071-011-0157-5 Published: MAR 2012
Fractional Wavelet Transform-Continous Wavelet Transform for the Quantification of Melatonin and Its Photodegradation Product
Dinc Erdal; Ragno Gaetano; Baleanu Dumitru; et al.
SPECTROSCOPY LETTERS Volume: 45 Issue: 5 Special Issue: SI Pages: 337-343 DOI: 10.1080/00387010.2012.666699 Published: 2012
On Riesz-Caputo Formulation for Sequential Fractional Variational Principles
Jarad Fahd; Abdeljawad Thabet; Baleanu Dumitru
ABSTRACT AND APPLIED ANALYSIS Article Number: 890396 DOI: 10.1155/2012/890396 Published: 2012
Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function
Abdeljawad Thabet; Baleanu Dumitru
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 16 Issue: 12 Special Issue: SI Pages: 4682-4688 DOI: 10.1016/j.cnsns.2011.01.026 Published: DEC 2011
On L-p-solutions for a class of sequential fractional differential equations
Baleanu Dumitru; Mustafa Octavian G.; Agarwal Ravi P.
APPLIED MATHEMATICS AND COMPUTATION Volume: 218 Issue: 5 Pages: 2074-2081 DOI: 10.1016/j.amc.2011.07.024 Published: NOV 1 2011
Fractional almost Kahler-Lagrange geometry
Baleanu Dumitru; Vacaru Sergiu I.
NONLINEAR DYNAMICS Volume: 64 Issue: 4 Pages: 365-373 DOI: 10.1007/s11071-010-9867-3 Published: JUN 2011
Fractional Bloch equation with delay
Bhalekar Sachin; Daftardar-Gejji Varsha; Baleanu Dumitru; et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 61 Issue: 5 Pages: 1355-1365 DOI: 10.1016/j.camwa.2010.12.079 Published: MAR 2011
Fedosov Quantization of Fractional Lagrange Spaces
Baleanu Dumitru; Vacaru Sergiu I.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS Volume: 50 Issue: 1 Pages: 233-243 DOI: 10.1007/s10773-010-0514-z Published: JAN 2011
On the solution set for a class of sequential fractional differential equations
Baleanu Dumitru; Mustafa Octavian G.; Agarwal Ravi P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 43 Issue: 38 Article Number: 385209 DOI: 10.1088/1751-8113/43/38/385209 Published: SEP 24 2010
An existence result for a superlinear fractional differential equation
Baleanu Dumitru; Mustafa Octavian G.; Agarwal Ravi P.
APPLIED MATHEMATICS LETTERS Volume: 23 Issue: 9 Pages: 1129-1132 DOI: 10.1016/j.aml.2010.04.049 Published: SEP 2010
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
Baleanu Dumitru; Trujillo Juan I.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 15 Issue: 5 Pages: 1111-1115 DOI: 10.1016/j.cnsns.2009.05.023 Published: MAY 2010
Newtonian law with memory
Baleanu Dumitru; Golmankhaneh Alireza K.; Golmankhaneh Ali K.; et al.
NONLINEAR DYNAMICS Volume: 60 Issue: 1-2 Pages: 81-86 DOI: 10.1007/s11071-009-9581-1 Published: APR 2010
On the global existence of solutions to a class of fractional differential equations
Baleanu Dumitru; Mustafa Octavian G.
COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 59 Issue: 5 Special Issue: SI Pages: 1835-1841 DOI: 10.1016/j.camwa.2009.08.028 Published: MAR 2010
Fractional Newtonian mechanics
Baleanu Dumitru; Golmankhaneh Alireza K.; Nigmatullin Raoul; et al.
CENTRAL EUROPEAN JOURNAL OF PHYSICS Volume: 8 Issue: 1 Pages: 120-125 DOI: 10.2478/s11534-009-0085-x Published: FEB 2010
On electromagnetic field in fractional space
Baleanu Dumitru; Golmankhaneh Alireza K.; Golmankhaneh Ali K.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 11 Issue: 1 Pages: 288-292 DOI: 10.1016/j.nonrwa.2008.10.058 Published: FEB 2010
On the asymptotic integration of a class of sublinear fractional differential equations
Baleanu Dumitru; Mustafa Octavian G.
JOURNAL OF MATHEMATICAL PHYSICS Volume: 50 Issue: 12 Article Number: 123520 DOI: 10.1063/1.3271111 Published: DEC 2009
Fractional variational principles in action
Baleanu Dumitru
PHYSICA SCRIPTA Volume: T136 Article Number: 014006 DOI: 10.1088/0031-8949/2009/T136/014006 Published: OCT 2009
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