FDA Express (Vol.5, No.4, Nov.30, 2012)

Title: Information measures based on fractional calculus
Author(s): Yu, Shiwei; Huang, T-Z; Liu, Xiaoyun; et al.
Source: INFORMATION PROCESSING LETTERS Volume: 112 Issue: 23 Pages: 916-921 DOI: 10.1016/j.ipl.2012.08.019 Published: DEC 15 2012

Title: NONLINEAR STATE OBSERVER DESIGN FOR PROJECTIVE SYNCHRONIZATION OF FRACTIONAL-ORDER PERMANENT MAGNET SYNCHRONOUS MOTOR
Author(s): Liu, Ling; Liang, Deliang; Liu, Chongxin; et al.
Source: INTERNATIONAL JOURNAL OF MODERN PHYSICS B Volume: 26 Issue: 30 Article Number: 1250166 DOI: 10.1142/S0217979212501664 Published: DEC 10 2012

Title: PROJECTIVE SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS BASED ON STATE OBSERVER
Author(s): Wang Xing-Yuan; Hu Zun-Wen
Source: INTERNATIONAL JOURNAL OF MODERN PHYSICS B Volume: 26 Issue: 30 Article Number: 1250176 DOI: 10.1142/S0217979212501767 Published: DEC 10 2012

Title: Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order
Author(s): Klimek, Malgorzata; Blasik, Marek
Source: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS Volume: 10 Issue: 6 Pages: 1981-1994 DOI: 10.2478/s11533-012-0112-9 Published: DEC 2012

Title: Inverse local times of fractional Brownian motion
Author(s): Mukeru, Safari
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 12 Pages: 2168-2173 DOI: 10.1016/j.aml.2012.05.016 Published: DEC 2012

Title: The fractional variational iteration method improved with the Adomian series
Author(s): Ji, Jie; Zhang, Jianbing; Dong, Yajuan
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 12 Pages: 2223-2226 DOI: 10.1016/j.aml.2012.06.007 Published: DEC 2012

Title: FCAA related meetings, books, in memoriam (FCAA-volume 15-N degrees 4)
Author(s): Kiryakova, Virginia
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 529-535 DOI: 10.2478/s13540-012-0037-9 Published: DEC 2012

Title: Fractional calculus for power functions and eigenvalues of the fractional Laplacian
Author(s): Dyda, Bartlomiej
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 536-555 DOI: 10.2478/s13540-012-0038-8 Published: DEC 2012

Title: Bernstein polynomials for solving fractional heat- and wave-like equations
Author(s): Rostamy, Davood; Karimi, Kobra
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 556-571 DOI: 10.2478/s13540-012-0039-7 Published: DEC 2012

Title: Fuzzy fractional integral equations under compactness type condition
Author(s): Agarwal, Ravi P.; Arshad, Sadia; O'Regan, Donal; et al.
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 572-590 DOI: 10.2478/s13540-012-0040-1 Published: DEC 2012

Title: Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
Author(s): Li Kexue; Peng Jigen; Gao Jinghuai
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 591-610 DOI: 10.2478/s13540-012-0041-0 Published: DEC 2012

Title: A uniqueness result for a fractional differential equation
Author(s): Ferreira, Rui A. C.
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 611-615 DOI: 10.2478/s13540-012-0042-z Published: DEC 2012

Title: Fractional calculus on time scales with Taylor's theorem
Author(s): Williams, Paul Anthony
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 616-638 DOI: 10.2478/s13540-012-0043-y Published: DEC 2012

Title: On a class of time-fractional differential equations
Author(s): Li, Cheng-Gang; Kostic, Marko; Li, Miao; et al.
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 639-668 DOI: 10.2478/s13540-012-0044-x Published: DEC 2012

Title: Numerical studies for the variable-order nonlinear fractional wave equation
Author(s): Sweilam, N. H.; Khader, M. M.; Almarwm, H. M.
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 669-683 DOI: 10.2478/s13540-012-0045-9 Published: DEC 2012

Title: Solution of fractional partial differential equations using iterative method
Author(s): Dhaigude, Chandradeepa D.; Nikam, Vasant R.
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 15 Issue: 4 Pages: 684-699 DOI: 10.2478/s13540-012-0046-8 Published: DEC 2012

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Conferences

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The Sixth Symposium on Fractional Derivatives and Their Applications (FDTA’11)

as a part of the The Eighth ASME/IEEE International Conference on Mechatronics and Embedded Systems and Applications (ASME/IEEE MESA2013)

August 4-7, 2013 in Portland, OR, USA

http://iel.ucdavis.edu/mesa/conferences.php
　

FDTA (Symposium on Fractional Derivatives and Their Applications) was started by Prof. Om Agrawal and other FDTA colleagues in 2003 IDETC under the ASME DED VIB TC (Technical Committee), which meets on odd years under a DED TC. In 2007 and 2009, FDTA was under TC MSNDC. Starting from 2011, FDTA is under MESA TC for better development of and better service to the FDTA community.

Papers are solicited in the area of fractional derivatives and their applications. The subjects of the papers may include, but are not limited to,

mathematical modeling of fractional dynamic systems, analytical and numerical techniques to solve these equations, fractional model of viscoelastic damping,
large scale finite element models of fractional systems and associated numerical scheme,
fractional controller design and system identification,
stability analysis of fractional systems, nonlinear and stochastic fractional dynamic systems,
fractional models and their experimental verifications, and applications of fractional models to engineering systems in general and mechatronic embedded systems in particular.

Papers with the e-mail addresses of the authors must be first submitted online abstract(s) at http://www.asmeconferences.org/idetc2013/ by January 7, 2013. After the abstract submission, you MUST also submit a full length paper for peer review by January 21, 2013. All manuscripts after a successful review procedure will be published in the conference proceedings after conference presentations. It will be EI indexed. For further information, please contact FDTA’13 symposium organizers:

Professor Dumitru Baleanu
Dept. of Math. and Computer Science, Cankaya University, Ankara 06500, Turkey
Email:dumitru@cankaya.edu.tr

Professor YangQuan Chen
Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, 5200 North Lake Road, Merced, CA 95343, USA.
E:yqchen@ieee.org;W: http://mechatronics.ucmerced.edu

Professor Changpin Li
Dept. of Mathematics, Shanghai University, Shanghai, China
Email: lcp@shu.edu.cn

Professor J. A. Tenreiro Machado
ISEP-Institute of Engineering of Porto, Dept. of Electrical Engineering
Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal
Email: jtm@isep.ipp.pt

Dr. Jocelyn Sabatier
IMS/LAPS: Automatique, Productique, Signal et Image, Universite Bordeaux1-ENSEIRB, UMR 5218 CNRS
Email: jocelyn.sabatier@u-bordeaux1.fr

Professor Blas M. Vinagre
Electrical Electronics & Automation Department, Unıversity of Extremadura, Badajoz, SPAİN
Email: bvinagre@unex.es

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RRNR 2013 INVITATION
2013 the 5th international conference on Non-integer Order Calculus and its Applications

http://rrnr.agh.edu.pl

On July 4 -5, 2013 the 5th international conference on Non-integer Order Calculus and its Applications will be held in Krakow, Poland at AGH University of Science and Technology. The conference is under the auspices of Committee of Automatic Control and Robotics of Polish Academy of Sciences.

Brief History of Conference
Conference will take place for the fifth time, previous editions were:

First seminar (under a different name) took place at Lodz (in 2009, organised by Prof. P. Ostalczyk)
Second seminar (also different name) took place in Czestochowa (in 2010, organised by Prof. M. Klimek)
Third RRNR took place in Bialystok (in 2011; organised by Prof. M. Buslowicz)
Fourth RRNR took place in Warsaw (in 2012, organised by Prof. A. Dzielinski)

Conference Scope

Mathematical preliminaries of non-integer order systems
Non-integer order systems that are continuous in time
Non-integer order systems that are discrete in time
Stability, controllability, observability of non-integer order systems
Non-integer order control systems
Identification of non-integer order systems
Applications of non-integer order systems

Conference Proceedings
Our intention is to publish selected reviewed papers in a form of a monograph (e.g. in Springer) under working title “Theory and applications of non-integer order systems”.
Papers (in English) should not exceed 6-10 pages and be prepared according to the instruction (provided at conference website, LaTeX is preferred, in special cases MS Word is accepted).

Conference Fee
Customarily RRNR conference is free of charge, however the participants themselves cover the cost of travel and accommodation in Kraków. More detailed information will be provided later.

Conference Venue and Travel Information
Conference will take place at AGH University of Science and Technology in Krakow, Poland, in the facilities of Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering.

Deadlines

15th of December 2012: preliminary registration with a brief abstract (50 words)
5th of February 2013: submission of full text papers.
19th of February 2013: paper acceptance notification
1st of March 2013: submission of final version of paper (complying with reviewer remarks)
4-5 of July 2013: meeting at conference in Krakow

CONTACT
Organising Committee Chair: Wojciech Mitkowski
Organising Committee Secretary: Jerzy Baranowski

E-mail: rrnr@agh.edu.pl
Conference website: http://rrnr.agh.edu.pl

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International Conference on Fractional Signals and Systems

7-8 November 2013
Ghent University, Ghent, Belgium
http://www.fss13.ugent.be

Scope

The organizing committee has the pleasure of inviting you to participate at the International Conference on Fractional Signals and Systems, FSS 2013. In 2013 the FSS will be hosted by the Ghent University, Belgium, during 7-9 November 2013.

FSS 2013 will be held at the University Conference Centre "Het Pand", in Ghent, Belgium. We sincerely welcome our colleagues worldwide to join us for FSS 2013. The conference location, Het Pand, is a historical monument: this unique building is a former Dominican Monastery, situated beside the river Leie in the historic hearth of the city of Ghent.

The history of Ghent begins in the year 630, when St Amandus chose the site of the confluence (or ‘Ganda’) of the two rivers, the Lys and the Scheldt, to construct an abbey. Nearly 1400 years of history are still palpable in the city today: a medieval castle surrounded by a moat, an imposing cathedral, a belfry, three beguinages...

Topics

• Signal analysis and filtering with fractional tools (restoration, reconstruction, analysis of fractal noises, etc.)

• Fractional modeling of thermal systems, electrical systems (motors, transformers, skin effect, etc.), dielectric materials, electrochemical systems (batteries, ultracapacitors, fuel cells, etc.), mechanical systems (vibration insulation, viscoelastic materials, etc.), biological systems (muscles, lungs, etc.) etc.

• Fractional system identification (linear, nonlinear, multivariable methods, etc.)

• Implementation aspects (fractional controllers etc.)

• Fractal structures, porous materials, etc.

Important deadlines

Submission opens: 15 April 2013

Initial submission: 1 June 2013

Author notification: 15 August 2013

Final submission: 30 September 2013

Conference dates: 7-8 November 2013

Submission Guidelines

Prepare the papers according to recommendation available at: http://www.fss13.ugent.be

Fees and registration

Until 30.09.2013 From 1.10.2013

Regular fee: 350 Eur 450 Eur

Accompanying person 180 Eur 200 Eur

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Call for Paper

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Call for Paper in a special issue of Journal of “Water Science and Engineering”

We would like to announce the Call for Paper in a special issue of Journal of "Water Science and Engineering". The details see as follows:

Water Science and Engineering is an excellent water science journal, indexed by Ei Compendex. We are organizing a special issue on Hydrology, Civil Engineering and Geophysics in this journal. This special issue will include 10~12 papers. We would like to invite you to submit your research paper for this Special Issue.

The journal homepage is http://www.waterjournal.cn/, online submission: http://www.waterjournal.cn:8080/journalx_en/authorLogOn.action?mag_Id=1. The guest editors are Drs. Wen Chen, Yong Zhang and HongGuang Sun.

Important deadlines:
Paper submission: December 20, 2012.
Publication date: April, 2013

Best wishes,

Dr. Wen Chen (Hohai University)
Dr. Yong Zhang (Desert Research Institute)
Dr. HongGuang Sun (Hohai University, contact person, shg@hhu.edu.cn)

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Journals

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Discontinuity, Nonlinearity, and Complexity

Volume 1, Number 4, December 2012

Contents

Fractional Maps and Fractional Attractors. Part I: α-Families of Maps
M. Edelman

Fractional Electromagnetic Wave
J.J. Rosales, M. Guía, J.F. Gómez, V.I. Tkach

Exponentially Dichotomous Linear systems of Differential Equations with Piecewise Constant Argument
M. Akhmet

Method of Conservation Laws for Constructing Solutions to Systems of PDEs
N. H. Ibragimov

Chaos Generation in Hyperbolic Systems
M.U. Akhmet, M.O. Fen

Nonlinear Dynamic and Chaotic Saddle in Rectifier Circuit
L.F.R. Turci, E.E.N. Macau, T. Yoneyama

Invariants in 3D for Classical Superintegrable Systems in Complex Phase Space
J. S. Virdi, S. C. Mishra

An Efficient Deformable Image Registration Method with Mexican Hat Wavelets
M.A. Akinlar, R. Ibragimov

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Journal of Applied Nonlinear Dynamics

Volume 1, Number 4 December 2012

Contents

Existence of Solutions for Fractional Delay Integrodifferential Equations
K. Balachandran , S. Kiruthika, M. Rivero, J.J. Trujillo

Describing an Axisymmetric Notch in a Pipe Using Singularities
D.K.Stoyko, N. Popplewell, A.H. Shah

Smart Passive Vibration Isolation: Requirements and Unsolved Problems
H. Marzbani, Reza H. Jazar, A. Khazaei

Stability Analysis of Flow Pattern in Flow around Body by POD
J.Z, Zhang, K.L. Li, W. Kang

A Few Notes on Lax Integrability, Integrable Couplings and Computing Formula of the Constant γ
F.K. Guo, B.L. Feng , T.T. Guo

Traveling Waves, Impulses and Diffusion Chaos in Excitable Media
T.V. Karamysheva, N.A. Magnitskii

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International Journal of Bifurcation and Chaos

Volume 22, Issue 10

THEME SECTION: New Trends in the Applications of Dynamical System Theory — Tutorials and Reviews

SHRIMPS: OCCURRENCE, SCALING AND RELEVANCE
RUEDI STOOP, STEFAN MARTIGNOLI, PHILIPP BENNER, RALPH L. STOOP, YOKO UWATE

COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS
L. A. DARRIBA, N. P. MAFFIONE, P. M. CINCOTTA, C. M. GIORDANO

CHARACTERIZATION OF CHAOTIC ATTRACTORS INSIDE BAND-MERGING SCENARIO IN A ZAD-CONTROLLED BUCK CONVERTER
JOHN ALEXANDER TABORDA, FABIOLA ANGULO, GERARD OLIVAR

THEME SECTION: New Trends in the Applications of Dynamical System Theory — Papers

SYNCHRONIZATION OF CHAOS AND THE TRANSITION TO WAVE TURBULENCE
R. L. VIANA, S. R. LOPES, J. D. SZEZECH, JR. , I. L. CALDAS

NONLINEAR DYNAMICS AND THE SYNTHESIS OF ZEBRA FINCH SONG
YONATAN SANZ PERL, EZEQUIEL M. ARNEODO, ANA AMADOR, GABRIEL B. MINDLIN

CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS
PABLO M. CINCOTTA, CLAUDIA M. GIORDANO

HYSTERESIS OF PERIODIC AND CHAOTIC PASSIVE Q-SWITCHING SELF-PULSATIONS IN A MOLECULAR LASER MODEL, AND THE STARK EFFECT AS A CODIMENSION-2 PARAMETER
EUSEBIUS J. DOEDEL, CARLOS L. PANDO L.

NONLINEAR SECOND SOUND WAVES IN SUPERFLUID HELIUM: INSTABILITIES, TURBULENCE AND ROGUE WAVES
ANDREY N. GANSHIN, VICTOR B. EFIMOV, GERMAN V. KOLMAKOV, LEONID P. MEZHOV-DEGLIN, PETER V. E. McCLINTOCK

FUNDAMENTALS OF A CLASSICAL CHAOS-BASED CRYPTOSYSTEM WITH SOME QUANTUM CRYPTOGRAPHY FEATURES
G. VIDAL, M. S. BAPTISTA, H. MANCINI

THE EFFECT OF WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING
JULIANO A. DE OLIVEIRA, EDSON D. LEONEL

FRACTIONAL DYNAMICS IN FINANCIAL INDICES
J. TENREIRO MACHADO, FERNANDO B. DUARTE, GONÇALO M. DUARTE

CRITICAL EXPONENTS AND SCALING PROPERTIES FOR THE CHAOTIC DYNAMICS OF A PARTICLE IN A TIME-DEPENDENT POTENTIAL BARRIER
DIOGO RICARDO DA COSTA, ANDRÉ LUÍS PRANDO LIVORATI, EDSON D. LEONEL

Papers

CHAOTIC BEHAVIOR IN A FRACTIONAL-ORDER SYSTEM CONTAINING A CONTINUOUS ORDER-DISTRIBUTION
TOM T. HARTLEY, CARL F. LORENZO

FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS
PEI YU, MAOAN HAN

GENERALIZED ARITHMETIC CODING USING DISCRETE CHAOTIC MAPS
QIUZHEN LIN, KWOK-WO WONG, JIANYONG CHEN

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Paper Highlight
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Distributed Order Time Fractional Diffusion Equation

A.V. Chechkin, R. Goren, I. M. Sokolov, V. Yu. Gonchar

Publication information: A. V. Chechkin, R. Goren, I. M. Sokolov, V. Yu. Gonchar. Distributed Order Time Fractional Diffusion Equation, Fractional Calculus and Applied Analysis 6 (3) (2003) 259-279.

http://www.diogenes.bg/fcaa/volume6/fcaa63/achechkin.pdf

Abstract

We propose the diffusion-like equation with time fractional derivative of the distributed order for the kinetic description of anomalous diffusion and relaxation phenomena, whose diffusion exponent varies with time and which, correspondingly, can not be viewed as self-affine random processes possessing a unique Hurst exponent. We prove the positivity of the solutions of the proposed equation and establish its relation to the continuous-time random walk theory. We show that the distributed order time fractional diffusion equation describes the sub-diffusion random process which is subordinated to the Wiener process and whose diffusion exponent decreases in time (retarding sub-diffusion). This process may lead to ultraslow diffusion, with the mean squared displacement growing as a power of the logarithm of time. We also demonstrate the effect of retarding sub-diffusion by numerical simulation in which the model of Grunwald - Letnikov random walk discrete in space and time is used for simulating a random variable whose probability density evolves in time according to the distributed order time fractional diffusion equation.

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The Two Forms of Fractional Relaxation of Distributed Order

Francesco Mainardi, Antonio Mura, Rudolf Gorenflo. Mirjana Stojanović

Publication information: Francesco Mainardi, Antonio Mura, Rudolf Gorenflo. Mirjana Stojanović The Two Forms of Fractional Relaxation of Distributed Order. Journal of Vibration and Control, 2007 13: 1249-1268.

http://jvc.sagepub.com/content/13/9-10/1249.short

Abstract

The first-order differential equation of exponential relaxation can be generalized by using either the fractional derivative in the Riemann-Liouville (R-L) sense and in the Caputo (C) sense, both of a single order less than 1. The two forms turn out to be equivalent. When, however, we use fractional derivatives of distributed order (between zero and 1), the equivalence is lost, in particular on the asymptotic behaviour of the fundamental solution at small and large times. We give an outline of the theory providing the general form of the solution in terms of an integral of Laplace type over a positive measure depending on the order-distribution. We consider in some detail two cases of fractional relaxation of distribution order: the double-order and the uniformly distributed order discussing the differences between the R-L and C approaches. For all the cases considered we give plots of the solutions for moderate and large times.

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Toolbox

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LSD-open source Lévy Stable Distributions

http://www.ismm.ac.cn/ismmlink/LSD/LSD.htm

Subject: First Release of LSD, open source numerical package of Lévy stable distributions

We are happy to announce the first release of LSD, an open source package for calculating the quantities of Lévy stable distributions, which have been found many applications in a wide range of problems such as signal processing, random walk, and anomalous diffusion. Features of this package include

- An easy-to-use graphical MATLAB interface.
- Efficient algorithms chosen to evaluate the quantities of Lévy stable distributions.
- M-functions calculating Lévy stable distributions through identical input and output interface with the help information.
- High precision in numerical computing density and distribution functions, simulating and generating random variables, estimating parameters, fitting sample data set.

The detailed features of LSD are presented in the paper: Yingjie Liang, Wen Chen. A survey on computing Lévy stable distributions and a new MATLAB toolbox”, Signal Processing 93 (2013) 242–251.

To download and install the LSD just follow the instructions at http://www.ismm.ac.cn/ismmlink/LSD/LSD.htm.
The code has been tested under MATLAB 2008b and VBA 6.0. The LSD currently works with Windows. If you run into an issue or have suggestions please let us know via e-mail.

Yingjie Liang: liangyj1989@gmail.com

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The End of This Issue

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