FDA Express (Vol.6, No.4, Feb.28, 2013)

Title: A new numerical algorithm to solve fractional differential equations based on operational matrix of generalized hat functions
Author(s): Tripathi, Manoj P.; Baranwal, Vipul K.; Pandey, Ram K.; et al.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 6 Pages: 1327-1340 DOI: 10.1016/j.cnsns.2012.10.014 Published: JUN 2013

Title: Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations
Author(s): Liu, Zhenhai; Li, Xiuwen
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 6 Pages: 1362-1373 DOI: 10.1016/j.cnsns.2012.10.010 Published: JUN 2013

Title: The uniqueness of positive solution for a singular fractional differential system involving derivatives
Author(s): Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18 Issue: 6 Pages: 1400-1409 DOI: 10.1016/j.cnsns.2012.08.033 Published: JUN 2013

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Call for Paper

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Special Issue on "Fractional Differential Equations 2013"

in journal "International Journal of Differential Equations"

http://www.hindawi.com/journals/ijde/si/653967/cfp/

Call for Papers

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:

Numerical methods and numerical analysis of fractional differential equations
Mathematical models of fractional dynamic systems
Fractional image processing
Theorem of fractional differential equations
Nonlinear and stochastic fractional dynamic systems
Fractional models and their experimental verifications
Applications of fractional models
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/fde13/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/ijde/fde13/ according to the following timetable:

Manuscript Due    Friday, 5 July 2013
First Round of Reviews    Friday, 27 September 2013
Publication Date    Friday, 22 November 2013

Lead Guest Editor
Fawang Liu, School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, QLD 4001, Australia
Guest Editors
Om P. Agrawal, Department of Mechanical Engineering and Energy Processes, Southern Illinois University, Carbondale, IL 62901, USA
Shaher Momani, Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Nikolai N. Leonenko, School of Mathematics, Cardiff University, Cardiff CF2 4YH, UK
Wen Chen, Department of Engineering Mechanics, Hohai University, Xikang Road No. 1, Nanjing 210098, Jiangsu, China

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Special Issue on "Optimal Control of Fractional Order Systems"

in the journal "Optimization (ISSN 0233-1934 )"

http://www.tandfonline.com/action/aboutThisJournal?show=specialIssues&journalCode=gopt20

(Contributed by Prof. Yong Zhou)

Call for Papers

Fractional calculus has been recognized as one of the best tools to describe long-memory processes. The corresponding mathematical models of these processes are fractional order systems. Due to the extensive applications of fractional order systems in engineering and science, research in this area has grown significantly all around the world. The objective of this special issue is to report and review the latest progresses in the following areas of fractional order systems:

Optimal Control of fractional order systems
Optimization of fractional order systems
Modelling and simulation of fractional order systems

Optimization is published by Taylor & Francis, indexed in SCI with impact factor: 0.5.

Guest Editor
Prof. Yong Zhou
Faculty of Mathematics and Computational Science
Xiangtan University, P.R. China
E-mail: yzhou@xtu.edu.cn

Submission of Manuscripts
Prospective authors should follow the manuscript format described below at the journal site. Papers that do not comply with these guidelines will not be considered for publication.
http://www.tandfonline.com/action/authorSubmission?journalCode=gopt&page=instructions
Authors should submit their papers via Manuscript Central System (MCS): http://mc.manuscriptcentral.com/gopt

Important note: During the submission procedure authors should indicate that their manuscript is a candidate for the proposed special issue, by ticking the appropriate box and writing “Fractional Systems” as the title of the special issue.

Important Dates
Submission deadline for the special issue: June 30, 2013
Publication: Vol.63, Issue 7, 2014.

There are no page charges.

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Conferences

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FDA'13 workshop

Dear Colleague,

This week, the FDA'13 workshop was held in Grenoble, France. This was a nice place for interesting comments and discussions around Fractional differentiation and applications as no parallel sessions were organized.

To extend a bitthis event, I have placed the workshop proceedings at: http://dl.free.fr/jfuIEr41l. Note that these proceedings will be available soon for free on the IFAC papers online web site at http://www.ifac-papersonline.net/ (as for any IFAC event).

With best regards.

J. SABATIER

--
Pr. Jocelyn SABATIER
(jocelyn.sabatier@u-bordeaux1.fr)
Docteur en Automatique de l' Université Bordeaux 1

Adresse recherche
Laboratoire IMS- UMR 5218 CNRS - Groupe Automatique
Université Bordeaux1, Bat A31- Bureau 2.14 351, Cours de la Libération - 33405 Talence Cedex - FRANCE
tel +33 (0)5 40 00 83 01
http://www.ims-bordeaux.fr/IMS/pages/accueil.php

Adresse Enseignement
IUT de Bordeaux
Département Génie Electrique et Informatique Industrielle 15, Rue Naudet - CS 10 207 - 33175 Gradignan Cedex - FRANCE
tel +33 (0)5 56 84 57 58 - fax +33 (0)5 56 84 57 83
http://www.iut.u-bordeaux1.fr/geii/

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Books

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An Introduction to Fractional Control (Control Engineering)

Duarte Valerio, Jose Sa Da Costa

Book Description
Explores many fractional control systems including fractional lead control, fractional lag control, first, second and third generation Crone control, fractional reset control, fractional H2 and H00 control, fractional predictive control and fractional time varying control.

Contents:
1 Preliminaries
Part I Fractional derivatives with real orders
2 Fractional calculus: real orders
3 Fractional transfer functions
4 Approximations of fractional transfer functions
5 Fractional identification
6 First and second-generation Crone control
7 Fractional PIDs
8 Fractional reset control
9 Fractional H2 and H∞ control
10 Pseudo-state-space representations
11 Fractional sliding mode control
12 Trajectory planning
Part II Fractional derivatives with complex orders
13 Fractional calculus: complex orders
14 Complex order transfer functions
15 Third generation Crone control
Part III Fractional derivatives with variable orders
16 Fractional calculus: variable orders
17 Fractional time-varying control
18 General considerations

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Journals

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Fractional Differential Equations 2012

International Journal of Differential Equations, Issue 2012
Guest Editors: Fawang LiuOm P. Agrawal,Shaher Momani,Nikolai N. Leonenko, and Wen Chen

Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method
R. Yulita Molliq and M. S. M. Noorani Volume 2012 (2012), Article ID 472030, 14 pages

Fractional Order Difference Equations
J. Jagan Mohan and G. V. S. R. Deekshitulu Volume 2012 (2012), Article ID 780619, 11 pages

Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model
Najeeb Alam Khan, Amir Mahmood, Nadeem Alam Khan, and Asmat Ara Volume 2012 (2012), Article ID 845945, 8 pages

Solving Fractional-Order Logistic Equation Using a New Iterative Method
Sachin Bhalekar and Varsha Daftardar-Gejji Volume 2012 (2012), Article ID 975829, 12 pages

Generalized Multiparameters Fractional Variational Calculus
Om Prakash Agrawal Volume 2012 (2012), Article ID 521750, 38 pages

Generalized Monotone Iterative Technique for Caputo Fractional Differential Equation with Periodic Boundary Condition via Initial Value Problem
J. D. Ramírez and A. S. Vatsala Volume 2012 (2012), Article ID 842813, 17 pages

A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations
Fenghui Huang Volume 2012 (2012), Article ID 495202, 19 pages

Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
Y. Z. Povstenko Volume 2012 (2012), Article ID 154085, 13 pages

Chaos Control and Synchronization in Fractional-Order Lorenz-Like System
Sachin Bhalekar Volume 2012 (2012), Article ID 623234, 16 pages

Fractional Differential Equations 2012
Fawang Liu, Om P. Agrawal, Shaher Momani, Nikolai N. Leonenko, and Wen Chen Volume 2013 (2013), Article ID 802324, 2 pages

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications
Lakshman Mahto, Syed Abbas, and Angelo Favini Volume 2013 (2013), Article ID 704547, 11 pages

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Communications in Nonlinear Science and Numerical Simulation

Volume 18, Issue 7

Articles

Mathematical Methods
Analytic study on the Sawada–Kotera equation with a nonvanishing boundary condition in fluids
Wen-Rui Shan, Tian-Zhong Yan, Xing Lü, Min Li, Bo Tian

Numerical interactions between compactons and kovatons of the Rosenau–Pikovsky equation
Julio Garralón, Francisco Rus, Francisco R. Villatoro

On hidden symmetries and solutions of the nonlinear d’Alembert equation
Anatoliy F. Barannyk, Tetyana A. Barannyk, Ivan I. Yuryk

Nonlinear self-adjointness and conservation laws for a generalized Fisher equation
M.L. Gandarias, M.S. Bruzón, M. Rosa

Invariant solution for an axisymmetric turbulent free jet using a conserved vector
D.P. Mason, D.L. Hill

Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities
Matthew Russo, Robert A. Van Gorder, S. Roy Choudhury

Generalized Cauchy matrix approach for lattice KP-type equations
Wei Feng, Songlin Zhao

Nonlinear Waves and Solitons
Emergence of spiral wave induced by defects block
Jun Ma, Qirui Liu, Heping Ying, Ying Wu

Soliton solution and bifurcation analysis of the Zakharov–Kuznetsov–Benjamin–Bona–Mahoney equation with power law nonlinearity
Anjan Biswas, Ming Song

Nonlinear Fluid
A fully coupled method for simulation of wave-current-seabed systems
J.Y. Wang, H.S. Tang, H.W. Fang

Nonlinear low frequency water waves in a cylindrical shell subjected to high frequency excitations – Part I: Experimental study
Wang Dajun, Zhou Chunyan, Junbao Li, Song Shen, Min Li, Xijun Liu

Chaos and Complexity
Design of an image encryption scheme based on a multiple chaotic map
Xiao-Jun Tong

High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps
Jacek K. Wróbel, Roy H. Goodman

Short-term cascaded hydroelectric system scheduling based on chaotic particle swarm optimization using improved logistic map
Yaoyao He, Shanlin Yang, Qifa Xu

Grey system model with the fractional order accumulation
Lifeng Wu, Sifeng Liu, Ligen Yao, Shuli Yan, Dinglin Liu

Frequency transitions in synchronized neural networks
A. Martins, L.H.A. Monteiro

Nonlinear Dynamical Systems
A model of feedback control system on network and its stability analysis
Huan Su, Yanbin Qu, Shang Gao, Huihui Song, Ke Wang

A fast numerical approach to option pricing with stochastic interest rate, stochastic volatility and double jumps
Sumei Zhang, Lihe Wang

Development and analysis of some versions of the fractional-order point reactor kinetics model for a nuclear reactor with slab geometry
Vishwesh A. Vyawahare, P.S.V. Nataraj

Existence of eight positive periodic solutions for a food-limited two-species cooperative patch system with harvesting terms
Hui Fang

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Nonlinear Dynamics

Special Issue on Nonlinear Fractional Differential Equations and their Applications
Volume 71, Issue 4

Special issue on nonlinear fractional differential equations and their applications in honour of Ravi P. Agarwal on his 65th birthday
Dumitru Baleanu

Controllability of nonlinear higher order fractional dynamical systems
K. Balachandran, V. Govindaraj, L. Rodríguez-Germá, J. J. Trujillo

A fractional calculus based model for the simulation of an outbreak of dengue fever
Kai Diethelm

Fractional dynamical system and its linearization theorem
Changpin Li, Yutian Ma

A uniqueness criterion for fractional differential equations with Caputo derivative
Dumitru Băleanu, Octavian G. Mustafa, Donal O’Regan

Fractional boundary value problems with singularities in space variables
Donal O’Regan, Svatoslav Staněk

Fractional integration and differentiation of variable order: an overview
Stefan Samko

Fractional diffusion equations for open quantum system
Vasily E. Tarasov

Exact solutions for fractional diffusion equation in a bounded domain with different boundary conditions
Živorad Tomovski, Trifce Sandev

Abstract Cauchy problem for fractional differential equations
JinRong Wang, Yong Zhou, Michal Fec̆kan

Path tracking design based on Davidson–Cole prefilter using a centralized CRONE controller applied to multivariable systems
Najah Yousfi, Pierre Melchior, Chokri Rekik, Nabil Derbel & Alain Oustaloup

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Special Issue on Control of Fractional Differential Equations

Journal of Optimization Theory and Applications
Volume 156, Issue 1, 2013, Springer

(Contributed by Prof. Yong Zhou)

Preface
Yong Zhou

Optimal Controllers with Complex Order Derivatives
J. A. Tenreiro Machado

Relaxed Controls for Nonlinear Fractional Impulsive Evolution Equations
JinRong Wang, Michal Fec̆kan, Yong Zhou

Controllability Results for Nonlinear Fractional-Order Dynamical Systems
K. Balachandran, V. Govindaraj…

Conditional Optimization Problems: Fractional Order Case
Abolhassan Razminia, Dumitru Baleanu…

The DuBois–Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler–Lagrange Equation Involving Only Derivatives of Caputo
Matheus J. Lazo, Delfim F. M. Torres

Study of Limit Cycles and Stability Analysis of Fractional Arneodo Oscillator
Mohammad Rostami, Mohammad Haeri

Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators
Michal Fec̆kan, JinRong Wang, Yong Zhou

A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
Samia Bushnaq, Shaher Momani, Yong Zhou

Asymptotic Behavior of Mild Solutions to Semilinear Fractional Differential Equations
J. Q. Zhao, Y. K. Chang, G. M. N’Guérékata

The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo
Tian Liang Guo

A Survey on Fractional-Order Iterative Learning Control
Yan Li, YangQuan Chen, Hyo-Sung Ahn…

Auto-Tuning and Fractional Order Controller Implementation on Hardware in the Loop System
R. Caponetto, G. Dongola, F. Pappalardo…

High-Order D^α-Type Iterative Learning Control for Fractional-Order Nonlinear Time-Delay Systems
Yong-Hong Lan, Yong Zhou

On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces
Zhenhai Liu, Xiuwen Li

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Paper Highlight
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A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments

Hong Sheng Li, Ying Luo, Yang Quan Chen

Publication information: Hong Sheng Li, Ying Luo, Yang Quan Chen. A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments. Control Systems Technology, IEEE Transactions on, 18( 2) : 516-520.
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5153128&tag=1

Abstract
In recent years, it is remarkable to see the increasing number of studies related to the theory and application of fractional order controller (FOC), specially PI^ \lambda D^ \mu controller, in many areas of science and engineering. Research activities are focused on developing new analysis and design methods for fractional order controllers as an extension of classical control theory. In this paper, a new tuning method for fractional order proportional and derivative (PD^\mu) or FO-PD controller is proposed for a class of typical second-order plants. The tuned FO-PD controller can ensure that the given gain crossover frequency and phase margin are fulfilled, and furthermore, the phase derivative w. r. t. the frequency is zero, i.e., the phase Bode plot is flat at the given gain crossover frequency. Consequently, the closed-loop system is robust to gain variations. The FOC design method proposed in the paper is practical and simple to apply. Simulation and experimental results show that the closed-loop system can achieve favorable dynamic performance and robustness.

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Recent history of fractional calculus

J. Tenreiro Machado, Virginia Kiryakova, Francesco Mainardi

Publication information: J. Tenreiro Machado, Virginia Kiryakova, Francesco Mainardi. Recent history of fractional calculus. Communications in Nonlinear Science and Numerical Simulation, 16, 3, 2011, 1140-1153.
http://www.sciencedirect.com/science/article/pii/S1007570410003205

This survey intends to report some of the major documents and events in the area of fractional calculus that took place since 1974 up to the present date.

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Call for a Chinese Minisymposium on FDA and Statistics
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“第三届分数阶动力学和统计力学研讨会”（MS69）征稿通知

陕西•西安，2013年8月19－21日

作为“中国力学大会-2013”（陕西西安，2013年8月19－21日）专题研讨会之一的“第三届分数阶动力学和统计力学研讨会”（编号：MS69），面向国内外从事相关研究的学界同仁征稿，就分数阶动力学和统计力学中的关键学术问题进行深入交流，欢迎从事分数阶导数及其应用和反常统计方法研究的专家踊跃投稿，以此为平台进一步增强国内外同行的合作与交流。
一、研讨会议题

1. 分数阶导数力学建模与数值仿真算法；

2. 软物质（复杂流体）流变和粘弹性的分数阶导数描述；

3. 频率依赖阻尼和耗散现象及其力学建模；

4. 力学与物理中的反常扩散建模、分析与数值仿真；

5. 分数阶动力系统的分岔与混沌；

6. 分数阶振动和控制理论及应用；

7. 复杂网络动力学、标度律、幂律现象中的分数阶行为;

8. 分数阶傅里叶变换及应用；

9. 分数阶微积分在信号处理和图像处理中的应用；

10. 分数阶布朗运动和非马尔科夫过程及其应用；

11. Lévy统计、伸展高斯分布、Tsallis分布等非高斯分布及其应用；

12. 其他相关议题。
二、投稿方法

请登录本次力学大会网站：http://cctam2013.cstamconferences.org/，按照该页面右侧的投稿流程介绍，提交论文摘要。论文摘要的篇幅限1页之内，内容可附带简单公式及表征研究结果的代表性图表。

请作者在线提交摘要的同时，同时发送一份电子文档给本次研讨会联系人孙洪广（shg@hhu.edu.cn, sun.fda2012@gmail.com ），（并请注明论文联系人（姓名、单位、通讯地址、电话、Email）。
三、重要日期

摘要上传截止日期：2013年4月30日

发布摘要录用通知：2013年5月15日

全文提交截止日期：2013年6月15日
四、会议组织和联系：

负责人：陈文教授，河海大学工程力学系，联系方式：chenwen@hhu.edu.cn

李常品教授，上海大学理学院，联系方式：lcp@shu.edu.cn

孙洪广博士，河海大学工程力学系

联系人：孙洪广博士，河海大学工程力学系，电话：13621586259，E-mail: shg@hhu.edu.cn，sun.fda2012@gmail.com

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The End of This Issue

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