FDA Express Vol. 8, No. 5, Sep. 15, 2013
¡¡
Editors: http://em.hhu.edu.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com,
hushuaihhu@gmail.com
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
PDF Download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol8_No5_2013.pdf
¡¡
¡ô Latest SCI Journal Papers on FDA
(Searched on 15 September 2013)
¡ô Call for paper
Call for papers: a special session titled ¡°Computational Fractional Derivative Equations¡±
Call for papers: Special Issue on ¡°Theory and Applications of Fractional Order Systems¡±
¡ô Books
Special Functions in Fractional Calculus and Related Fractional Differintegral Equation
¡ô Journals
ASME/IEEE MESA2013 Conference, part of the 2013 ASME IDETC/CIE Conferences
Fractional Caculus & Applied Analysis
¡ô Paper Highlight
New results on the synthesis of FO-PID controllers
Fractional control of heat diffusion systems
¡ô Websites of Interest
Fractional Calculus & Applied Analysis
International Conference on Fractional Differentiation and Its Applications (ICFDA'14)
¡¡
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Latest SCI Journal Papers on FDA
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(Searched on 15 September 2013)
Title: Approximate controllability of nonlinear fractional dynamical systems
Title:
A boundary value problem of
fractional
differential equations with anti-periodic type
integral boundary conditions
Author(s): Ahmad, Bashir; Ntouyas, S. K.
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 15 Issue: 8
Pages: 1372-1380 Published: DEC 2013
Title:
Analytic Approximation of Time-Fractional
Diffusion-Wave Equation Based on Connection of
Fractional and Ordinary
Calculus
Author(s): Fallahgoul, H.; Hashemiparast, S. M.
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 15 Issue: 8
Pages: 1430-1443 Published: DEC 2013
Title:
Initial value problems for arbitrary
order
fractional
differential equations with delay
Author(s): Yang, Zhihui; Cao, Jinde
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18
Issue: 11 Pages: 2993-3005 DOI: 10.1016/j.cnsns.2013.03.006 Published: NOV 2013
Title:
Positive solutions to singular
fractional
differential system with coupled boundary conditions
Author(s): Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18
Issue: 11 Pages: 3061-3074 DOI: 10.1016/j.cnsns.2013.04.009 Published: NOV 2013
Title:
Analysis and numerical methods for
fractional
differential equations with delay
Author(s): Morgado, M. L.; Ford, N. J.; Lima, P. M.
Source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 252 Pages:
159-168 DOI: 10.1016/j.cam.2012.06.034 Published: NOV 2013
Title:
Cantor-type cylindrical-coordinate method
for
differential equations with local
fractional derivatives
Author(s): Yang, Xiao-Jun; Srivastava, H. M.; He, Ji-Huan; et al.
Source: PHYSICS LETTERS A Volume: 377 Issue: 28-30 Pages: 1696-1700 DOI:
10.1016/j.physleta.2013.04.012 Published: OCT 15 2013
Title:
Finite element method for Grwunwald-Letnikov
time-fractional
partial
differential equation
Author(s): Zhang, Xindong; Liu, Juan; Wei, Leilei; et al.
Source: APPLICABLE ANALYSIS Volume: 92 Issue: 10 Pages: 2103-2114 DOI:
10.1080/00036811.2012.718332 Published: OCT 1 2013
Title:
Variable-order
fractional mean square displacement function with evolution of
diffusibility
Author(s): Yin, Deshun; Wang, Yixin; Li, Yanqing; et al.
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 392 Issue:
19 Pages: 4571-4575 DOI: 10.1016/j.physa.2013.06.008 Published: OCT 1 2013
Title:
Numerical treatment for solving the
perturbed
fractional PDEs using hybrid techniques
Author(s): Khader, M. M.
Source: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 250 Pages: 565-573 DOI:
10.1016/j.jcp.2013.05.032 Published: OCT 1 2013
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Call for paper
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Call for papers: a special session titled ¡°Computational Fractional
Derivative Equations¡±
---at the International Conference on ¡°Fractional Differentiation and its
Applications¡± which will be held in Catania (Italy), June 23-25 2014.
(Contributed by Prof. Fawang Liu)
Dear Professors, Researchers and colleagues
I am pleased to announce the organization of a special session titled ¡°Computational Fractional Derivative Equations (Numerical Methods and Analysis of Fractional Partial Differential Equations)¡± at the International Conference on ¡°Fractional Differentiation and its Applications¡± which will be held in Catania (Italy), June 23-25 2014.
The aim of this session is to bring together researchers from different branches of the numerical analysis to discuss and encourage the spread of new ideas for the numerical treatment of fractional differential equations, including numerical methods and numerical analysis, such as finite difference method, finite element method, spectral element method, finite volume method, decomposition method, matrix method, meshless method, and so on. The topic of the session includes also the reformulation and the innovative use of previously developed methods in order to treat specific real-life applications.
Please, let me know if you are interested in presenting a paper at this special section. You can contact me by Email: f.liu@qut.edu.au. For updated information on the conference, including the deadline for the abstract submission, please visit the website http://www.icfda14.dieei.unict.it
Best regards,
Fawang Liu
---------------------------------------------------------------------------------------
Professor Fawang Liu
School of Mathematical Sciences
Queensland University of Technology
GPO Box 2434
Brisbane
Qld. 4001
Australia
Phone: 61-07-31381329 (QUT) or 61-(0)410036297 (mobile)
Email: f.liu@qut.edu.au
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Call for papers:
Special Issue on ¡°Theory and Applications of Fractional Order Systems¡±
---in Mathematical Problems in Engineering
(Contributed by Prof. Riccardo Caponetto)
The advantages of fractional calculus and fractional order models (i.e., differential systems involving fractional order integrodifferential operators) and their applications have already been intensively studied during the last few decades with excellent results.
The long-range temporal or spatial dependence phenomena inherent to the fractional order systems present unique peculiarities not supported by their integer order counterpart, which permit better models of the dynamics of complex processes. Therefore, in many cases, these properties make fractional order system more adequate than usually adopted integer order one. Although noninteger differentiation has become a more and more popular tool for modeling and controlling the behaviors of physical systems from diverse applied branches of the science and engineering such as mechanics, electricity, chemistry, biology, and economics, many problems remain to be explored and solved.
This
special issue aims to bring together the latest advances in theory and
applications of fractional order systems.
Potential topics include, but are not limited to:
Anomalous diffusion
Applications of fractional systems
Biomedical engineering
Computational fractional derivative equations
Fractional operators and models
Modeling control and identification
Nonlocal phenomena
Numerical algorithms and computational aspects
Signal and imaging processing
Special functions and integral transforms related to fractional calculus
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/submit/journals/mpe/fos/
according to the following timetable:
Manuscript Due Friday, 3 January 2014
First Round of Reviews Friday, 28 March 2014
Publication Date Friday, 23 May 2014
Lead
Guest Editor
Riccardo Caponetto, Department of Electrical, Electronics and Computer
Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy;
riccardo.caponetto@dieei.unict.it
Guest
Editors
Juan J. Trujillo, Universidad de La Laguna, Department of An¨¢lisis Matem¨¢tico,
C/Astr Francisco S¨¢nchez S/N, Tenerife, 38271 La Laguna, Spain;
jtrujill@ullmat.es
J. A. Tenreiro Machado, Institute of Engineering (ISEP), Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal; jtm@isep.ipp.pt
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Special Functions in Fractional Calculus and Related Fractional Differintegral Equation
Hari M Srivastava
Book Description
The subject of fractional calculus (that is, calculus of integrals and
derivatives of any arbitrary real or complex order) has gained considerable
popularity and importance during the past four decades, due mainly to its
demonstrated applications in numerous seemingly diverse and widespread fields of
science and engineering. It does indeed provide several potentially useful tools
for solving differential, integral and differintegral equations, and various
other problems involving special functions of mathematical physics as well as
their extensions and generalizations in one and more variables.
Many books and monographs (and conference proceedings) deal with the subject of fractional calculus and its applications. However, to the best of our knowledge, there does not exist an exclusive work that co-ordinates the disciplines of fractional calculus and special functions in a potentially useful manner. This book is an attempt in that direction and would serve a dual purpose: in providing key formulas and identities involving special functions and also in opening up some novel avenues of applications of fractional calculus.
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Oliver C. Ibe
Book Description
Featuring an introduction to stochastic calculus, this book uniquely blends
diffusion equations and random walk theory and provides an interdisciplinary
approach by including numerous practical examples and exercises with real-world
applications in operations research, economics, engineering, and physics. It
covers standard methods and applications of Brownian motion and discusses Levy
motion; addresses fractional calculus; introduces percolation theory and its
relationship to diffusion processes; and more.
Contents
1 Review of Probability Theory
2 Overview of Stochastic Processes
3 One-Dimensional Random Walk
4 Two-Dimensional Random Walk
5 Brownian Motion
6 Introduction to Stochastic Calculus
7 Diffusion Processes
8 Levy Walk
9 Fractional Calculus and Its Applications
10 Percolation Theory
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Contributed by YangQuan Chen
1. Second Order Accuracy Finite Difference Methods for Fractional Diffusion Equations
2. Local Fractional Fourier Series With Applications to Representations of Fractal Signals
3. Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator
4. A Gallery of Root Locus of Fractional Systems
5. Some Pioneers of the Application of Fractional Calculus
6. Space- and Time-Fractional Legendre-Pearson Diffusion Equation
7. Numerical Solutions of Generalized Oscillator Equations
8. Fractional Order Sliding Mode Control Based on Fractional Order Reaching Law: Reaching Condition Analysis and Experimental Validation
9. Optimal Random Search, Fractional Dynamics and Fractional Calculus
10. Fractional order Coulomb Friction Compensation: Convergence Analysis and Experimental Validation on A Fractional Horserpower Dynamometer
11. Interactive Thermo-Fluid Simulation by Using Reduced Order Models
12. An Improved Maximum Power Point Tracking Based on Fractional Order Extremum Seeking Control for Grid-Connected Photovoltaic (PV) Systems
13. Lyapunov Stability of Linear Fractional Systems: Part 1 -- Definition of Fractional Energy
14. Lyapunov Stability of Linear Fractional Systems: Part 2 -- Derivation of a Stability Condition
15. Anti-Control of Chaos in Fractional Difference Equations
16. Fractional Model for Malaria Disease
17. Radiation and Impedance Characteristics of a Circular Loop Antenna Driven by Fractional Order Electronics
18. Energy Considerations for Fractional Elements
19. Sliding Mode Based LMI Criterion for Robust Stabilization of Uncertain Fractional Order Nonlinear Systems
20.On the Energy Stored in Fractional-Order Electrical Elements
21. Communications in Nonlinear Science and Numerical Simulation
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Fractional Caculus & Applied Analysis
Volume 16, Issue 4
FCAA RELATED EVENTS AND 100th ANNIVERSARY OF THE BIRTH OF JAN MIKUSI¶NSKI
Editorial: V. Kiryakova, J.J. O'Connor, E.F. Robertson, D. Nemzer
A CHARACTERISTIC OF FRACTIONAL RESOLVENTS
Z.D. Mei, J.G. Peng, Y. Zhang
CONTROLLABILITY OF FRACTIONAL ORDER SYSTEM WITH NONLINEAR TERM HAVING INTEGRAL
CONTRACTOR
S. Kumar, N. Sukavanam
TWO EQUIVALENT STEFAN'S PROBLEMS FOR THE TIME FRACTIONAL DIFFUSION EQUATION
S. Roscani, E. Santillan Marcus
EXISTENCE RESULTS FOR NONLINEAR QUADRATIC INTEGRAL EQUATIONS OF FRACTIONAL ORDER
IN BANACH ALGEBRA
A.M.A. El-Sayed, H.H.G. Hashem, T.M. Michelitsch, G.A. Maugin,
THE FRACTIONAL LAPLACIAN AS A LIMITING CASE OF A SELF-SIMILAR SPRING MODEL AND
APPLICATIONS TO N-DIMENSIONAL ANOMALOUS DIFFUSION
A.F. Nowakowski, F.C.G.A. Nicolleau, M. Rahman
FRACTIONAL-HYPERBOLIC SYSTEMS
A.N. Kochubei
NONPOLYNOMIAL COLLOCATION APPROXIMATION OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL
EQUATIONS .
N.J. Ford, M.L. Morgado, M. Rebelo
A NEW DIFFERENCE SCHEME FOR TIME FRACTIONAL HEAT EQUATIONS BASED ON THE
CRANK-NICHOLSON METHOD
I. Karatay, N. Kale, S.R. Bayramoglu
NEW RELATIONSHIPS CONNECTING A CLASS OF FRACTAL OBJECTS AND FRACTIONAL INTEGRALS
IN SPACE
R.R. Nigmatullin, D. Baleanu
UNIQUE POSITIVE SOLUTION FOR A FRACTIONAL BOUNDARY VALUE PROBLEM
K. Zhang and J. Xu
FRACTIONAL DERIVATIVES OF MULTIDIMENSIONAL COLOMBEAU GENERALIZED STOCHASTIC
PROCESSES
D. Rajter-.Ciri.c, M. Stojanovi.c
APPLICATION OF MEASURE OF NONCOMPACTNESS TO A CAUCHY PROBLEM FOR FRACTIONAL
DIFFERENTIAL EQUATIONS IN BANACH SPACES
A. Aghajani, E. Pourhadi, J.J. Trujillo
A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL BOUNDARY VALUE PROBLEM
R.A.C. Ferreira
POSITIVE SOLUTIONS FOR A SYSTEM OF NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEMS
J. Henderson, R. Luca
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Volume 56, In Progress (November 2013)
Introduction
Collective behavior and evolutionary games ¨C An introduction
Matjaž Perc, Paolo Grigolini
Reviews
Cooperative dynamics in neuronal networks
L¨¦vy flights in human behavior and cognition
Andrea Baronchelli, Filippo Radicchi
Research Papers
Cooperation in harsh environments and the emergence of spatial patterns
Paul E. Smaldino
The evolution of fairness in the coevolutionary ultimatum games
Kohei Miyaji, Zhen Wang, Jun Tanimoto, Aya Hagishima, Satoshi Kokubo
Does coveting the performance of neighbors of thy neighbor enhance spatial
reciprocity?
Zhen Wang, Bin Wu, Ya-peng Li, Hang-xian Gao, Ming-chu Li
Quantifying the impact of noise on macroscopic organization of cooperation in
spatial games
Faqi Du, Feng Fu
Searching with cooperators
Karyn Benson, Manuel Cebrian
The effects of nonlinear imitation probability on the evolution of cooperation
Qionglin Dai, Haihong Li, Hongyan Cheng, Mei Zhang, Junzhong Yang
Can remembering history from predecessor promote cooperation in the next
generation?
Zhi-Gang Chen, Tao Wang, De-Gui Xiao, Yin Xu
An evolving Stag-Hunt game with elimination and reproduction on regular lattices
Lei Wang, Chengyi Xia, Li Wang, Ying Zhang
Onset of limit cycles in population games with attractiveness driven strategy
choice
Elżbieta Kukla, Tadeusz Płatkowski
Combination of continuous and binary strategies enhances network reciprocity in
a spatial prisoner¡¯s dilemma game
Noriyuki Kishimoto, Satoshi Kokubo, Jun Tanimoto
The different cooperative behaviors on a kind of scale-free networks with
identical degree sequence
Yonghui Wu, Xing Li, Zhongzhi Zhang, Zhihai Rong
Learning ability driven by majority selection enhances spatial reciprocity in
prisoner¡¯s dilemma game
Yi-Ling Wang
Evolutionary games with facilitators: When does selection favor cooperation?
Mauro Mobilia
Verification and reformulation of the competitive exclusion principle
Lev V. Kalmykov, Vyacheslav L. Kalmykov
Effects of group sensitivity on cooperation in N-person snowdrift game with
dynamic grouping
Yong-Dong Shi, Li-Xin Zhong, Wen-Juan Xu
Proportional cost for punishment enhances spatial reciprocity in evolutionary
games
Jiang-Sheng Luo, Ming Zhao
Effects of neighborhood type and size in spatial public goods game on diluted
lattice
Hong-yang Li, Jian Xiao, Yu-meng Li, Zhen Wang
An intermediate number of neighbors promotes the emergence of generous
tit-for-tat players on homogeneous networks
Hui Gao, Liming Pan, Zhihai Rong
The evolution of cooperation in mixed games
Lucas Wardil, Jafferson K.L. da Silva
Cooperation in spatial prisoner¡¯s dilemma game with delayed decisions
Qiuhui Pan, Shu Shi, Yu Zhang, Mingfeng He
Effect of assessment error and private information on stern-judging in indirect
reciprocity
Satoshi Uchida, Tatsuya Sasaki
Reputation-based mutual selection rule promotes cooperation in spatial threshold
public goods games
Xiaofeng Wang, Xiaojie Chen, Jia Gao, Long Wang
Cooperation in changing environments: Irreversibility in the transition to
cooperation in complex networks
Carlos Gracia-L¨¢zaro, Luis M. Flor¨ªa, Jes¨²s G¨®mez-Gardeñes, Yamir Moreno
Peloton phase oscillations
Hugh Trenchard
Noise-delayed decay in the response of a scale-free neuronal network
Muhammet Uzuntarla, Rukiye Uzun, Ergin Yilmaz, Mahmut Ozer, Matjaž Perc
The impact of other-regarding tendencies on the spatial vaccination game
Yan Zhang
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New results on the synthesis of FO-PID controllers
Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna, Antonio Gallo
Publication information:
Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna, Antonio Gallo, New results
on the synthesis of FO-PID controllers, Communications in Nonlinear Science and
Numerical Simulation, 15(4), 2010, 997¨C1007.
http://www.sciencedirect.com/science/article/pii/S1007570409002822
Abstract
In this paper a new procedure that allows to define the parameters of fractional
order PI¦ËD¦Ìcontroller, designed to stabilize a first-order plant with
delay-time, is proposed. Using a version of the Hermite¨CBiehler theorem
applicable to quasipolynomials, the complete set of stabilizing PI¦ËD¦Ìparameters
is determined. The widespread industrial use of PID controllers and the
potentiality of their non-integer order representation justifies a timely
interest to PI¦ËD¦Ì tuning techniques.
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Fractional control of heat diffusion systems
Isabel S. Jesus, J. A. Tenreiro Machado
Publication
information: Isabel S. Jesus, J. A. Tenreiro Machado. Fractional control of
heat diffusion systems. Nonlinear Dynamics, 2008, 54(3), 263-282.
http://link.springer.com/article/10.1007/s11071-007-9322-2
Abstract
The concept of differentiation and integration to non-integer order has its
origins in the seventeen century. However, only in the second-half of the twenty
century appeared the first applications related to the area of control theory.
In this paper we consider the study of a heat diffusion system based on the
application of the fractional calculus concepts. In this perspective, several
control methodologies are investigated and compared. Simulations are presented
assessing the performance of the proposed fractional-order algorithms.
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The End of This Issue
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