FDA Express

This special issue aims at enhancing the idea of using fractional order tools, in order to further stimulate and raise interest regarding the increasing tendency of adopting fractional calculus in applications related to modeling and design of control systems. The main focus of this special issue is directed towards showcasing latest updates from the applied fractional calculus community.

Guest Editors:

Prof Dr Manuel D. ORTIGUEIRA, UNINOVA and DEE/ Faculdade de Ciências e Tecnologia da UNL, Portugal (mdo@fct.unl.pt, mdortigueira@uninova.pt)

Prof Dr Piotr OSTALCZYK, Institute of Applied Computer Science, Lodz University of Technology, Poland (postalcz@p.lodz.pl)

Dr Cristina I. MURESAN, Technical University of Cluj-Napoca, Romania (Cristina.Muresan@aut.utcluj.ro)

IMPORTANT DATES

15 January 2016: Paper Submission

15 March 2016: First Review

15 May 2016: Paper Acceptance

15 June 2016: Publication

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Special Issue on “Fractional Differential, Integral and Integro-Differential Equations Research”

------In the journal of “Advances in Pure Mathematics”

http://www.scirp.org/journal/APM/

Aims & Scope (not limited to)

• Fractional differential equations
• Fractional integral and integro-differential equations
• Nature and kind of fractional derivatives
• Fractional integrals
• Fractional calculus and associated special functions
• Applications of fractional calculus

Important Dates:

Submission Deadline: December 16th, 2015

Guest Editors:
APM Editorial Office
E-mail: apm@scirp.org

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Special Session on APPLIED FRACTIONAL ORDER CALCULUS

----- to be held during the 2016 IEEE International Conference on Automation, Quality and Testing, Robotics AQTR - THETA 20th edition

www.aqtr.ro

Fractional order differentiation is a generalization of classical integer differentiation to real or complex orders. In the last couple of decades, a more profound understating of fractional calculus, as well as the developments in computing technologies combined with the unique advantages of fractional order differ-integrals in capturing closely complex phenomena, lead to ongoing research regarding fractional calculus and to an increasing interest towards using fractional calculus as an optimal tool to describe the dynamics of complex systems.

This special session aims at presenting some recent developments in the field, focusing, but not limited to: numerical and analytical solutions to fractional order systems, new implementation methods, improvements in fractional order derivatives approximation methods, time response analysis of fractional order systems, the analysis, modeling, control of phenomena in: electrical engineering, electromagnetism, electrochemistry, thermal engineering, mechanics, mechatronics, automatic control, biology, biophysics, physics, etc.

Organizers:

Dr. Cristina I. Muresan
Dr. Eva H. Dulf
Technical University of Cluj-Napoca, Department of Automatic Control,
26-28 Gh. Baritiu Str., 400027 Cluj-Napoca, Romania
Cristina.Muresan@aut.utcluj.ro , Eva.Dulf@aut.utcluj.ro

Dr. Clara Ionescu
Ghent University, Department of Electrical energy, Systems and Automation, Technologiepark 914, B9052 Zwijnaarde, Belgium, Claramihaela.Ionescu@ugent.be

Deadlines:
Paper submission: January 19, 2016
Notification of acceptance: April 5, 2016
Camera-ready papers: April 19, 2016

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Special Session entitled "Fractional Differentiation and Its applications"

----- ------during the third international conference CoDIT 2016 to be held in Saint Julian's, Malta in April, 6-8 2016

http://codit2016.com/

(Contributed by Mohamed AOUN）

The special session is not only aimed academics scientists but also engineers dealing with fractional differentiation and its applications in control, identification, diagnosis, etc.

Session description

In the last sixty years, fractional calculus had played a very important role in various fields such as physics, chemistry, mechanics, electricity, biology, and economy and control theory. Moreover, it has been found that the dynamical behavior of many complex systems can be properly described by fractional‐ order models. Such tool has been extensively applied in many fields which has seen an overwhelming growth in the last three decades. The special session is intended to review new developments based on the fractional differentiation, both on theoretical and application aspects. The topics of interest include, but are not limited to: Modelling and Modeling and identification, Signal Processing, Control, Diagnosis, Real applications, Robotics,…

Important Dates:

Submission Deadline: January 07, 2016

Notification of acceptance/reject : February 2, 2016

Deadline for final paper and registration : March 2, 2014

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Special Issue on "Advances in Fractional Differential Equations (IV): Time-fractional PDEs"

----- ------------In the journal of “Computers & Mathematics with Applications”

http://ees.elsevier.com/camwa/

(Contributed by Prof. Yong Zhou）

Guest Editors

Prof. Yong Zhou, Faculty of Mathematics and Computational Science, Xiangtan University, China

Prof. Michal Feckan, Faculty of Mathematics, Physics and Informatics, Comenius University, Slovakia

Prof. Fawang Liu, School of Mathematical Sciences, Queensland University of Technology, Australia

Prof. J. A. Tenreiro Machado, Department of Electrical Engineering, ISEP-Institute of Engineering Polytechnic of Porto, Portuga

Subject Coverage

● Theory and Numerical Methods for Time-fractional Partial Differential Equations including

* Fractional Navier–Stokes equations

* Fractional diffusion equations

* Fractional wave equations

* Fractional Schrodinger equations

* Fractional Heisenberg equations

* Fractional Fokker–Planck equations

* Fractional Langevin equations

* Fractional Hamiltonian systems, etc.

● Modeling using Time-fractional PDEs

● Applications in Physics, Engineering, Biology etc.

Submission Guidelines

Manuscripts should be submitted online through the Elsevier Editorial System (EES) at the following link: http://ees.elsevier.com/camwa/ . Authors must select "SI: Time-fractional PDEs" when they reach the “Article Type” step in the submission process, and select "Yong Zhou, Managing Guest Editor(SI: Time-fractional PDEs)" as the Requested Editor. All papers will be peer reviewed. There are no page charges.

Important Dates

EES Open for New Submissions: 1 December 2015

Submission Deadline: 30 June 2016

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Books

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Intelligent Numerical Methods: Applications to Fractional Calculus

George A. Anastassiou • Ioannis K. Argyros

Book Description

This striking phenomenon motivated the authors to study Newton-like and other similar numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also nondifferentiable in the ordinary sense.

That is among others extending the classical Newton method theory which requires usual differentiability of function.

In this monograph we present the complete recent work of the past three years of the authors on Numerical Analysis and Fractional Calculus. It is the natural outgrowth of their related publications. Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The topics covered are from A to Z of this research area, all studied for the first time by the authors. .

More information on this book can be found by the following link:

http://link.springer.com/book/10.1007/978-3-319-26721-0

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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Sabir Umarov

Book Description

Nowadays the number of applications of the theory of ΨDOSS and fractional order differential equations is rapidly increasing. The author hopes that the selected material reflects the current state and will serve as a good source for those who want to study the theory of ΨDOSS and fractional differential equations and use their methods in their own research. It seems as though this is the first attempt to present systematically the theory ofΨInternational Journal of Non-Linear Mechanicsurnal of Non-Linear Mechanicsurnal of Non-Linear Mechanicsen format. Therefore, the style of the book is introductory. Each chapter supplies a section containing historical and additional notes on related topics for those readers who want further reading.

More information on this book can be found by the following link:

http://link.springer.com/book/10.1007/978-3-319-20771-1

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Fractional Partial Differential Equations Numerical Method And Its Application

Book release announcement（20/12/2015）

By the Professor Liu Fawang (Queensland University of Technology, Australia), Professor Zhuang Pinghui (Xiamen University) and Dr. Liu Qingxia (Xiamen University) compiled the "fractional partial differential equations numerical method and its application", Information and Computing Science Series 74, by the scientific publishing agency officially published.

Brief introduction

This book detail describes the numerical methods for fractional partial differential equations, including space, time, time - space fractional partial differential equations, anomalous diffusion equations, modified anomalous diffusion equations, fractional Cable equations , also including the time - space distribution order partial differential equations, multi-term time - space fractional partial differential equations and variable fractional partial differential equations, as well as anomalous diffusion models in human brain tissue, fractional model of the process of diffusion in inhomogeneous media. Numerical methods discussed include finite difference methods, finite element methods, spectral methods, finite volume methods, meshless methods and matrix conversion techniques, detailing how to construct appropriate numerical methods, and discuss the stability and convergence of numerical methods and numerical analysis techniques, some numerical examples are given. Finally, some applications in medical engineering and cardiac sciences also are presented.

The book is rich in content, language fluency, structured, logical, detailed narrative, facilitating self-study, as a post-graduate study course materials fractional computing, but also for related researchers.

Interested readers 10 or less may be concerned about Dangdang, Jingdong network. Book 10 or more can contact Science Press of Li Jing Branch edit (jingkeli01@163.com, Tel: 010-64019814).

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Journals

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International Journal of Non-Linear Mechanics

(selected)

Fractional Birkhoffian method for equilibrium stability of dynamical systems

Shao-Kai Luo, Jin-Man He, Yan-Li Xu

Harmonic wavelets based response evolutionary power spectrum determination of linear and non-linear oscillators with fractional derivative elements

Ioannis A. Kougioumtzoglou, Pol D. Spanos

A fractional non-linear creep model for coal considering damage effect and experimental validation

Jianhong Kang, Fubao Zhou, Chun Liu, Yingke Liu

Elements of mathematical phenomenology of self-organization nonlinear dynamical systems: Synergetics and fractional calculus approach

Mihailo P. Lazarević

Discrete fractional order system vibrations

K.R. (Stevanović) Hedrih, J.A. Tenreiro Machado

First passage of stochastic fractional derivative systems with power-form restoring force

Wei Li, Lincong Chen, Natasa Trisovic, Aleksandar Cvetkovic, Junfeng Zhao

Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus

Abdon Atangana, Dumitru Baleanu

Constructing transient response probability density of non-linear system through complex fractional moments

Xiaoling Jin, Yong Wang, Zhilong Huang, Mario Di Paola

Asymptotic analysis of an axially viscoelastic string constituted by a fractional differentiation law

Tianzhi Yang, Bo Fang

Stationary response of Duffing oscillator with hardening stiffness and fractional derivative

F. Hu, L.C. Chen, W.Q. Zhu

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Communications in Nonlinear Science and Numerical Simulation

(selected)

Comments on “Lyapunov stability theorem about fractional system without and with delay

Wenjuan Rui, Xiangzhi Zhang

Lie symmetries and conservation laws for the time fractional Derrida–Lebowitz–Speer–Spohn equation

Lachezar S. Georgiev

On chain rule for fractional derivatives

Vasily E. Tarasov

Modeling and simulation of the fractional space-time diffusion equation

J.F. Gómez-Aguilar, M. Miranda-Hernández, M.G. López-López, V.M. Alvarado-Martínez, D. Baleanu

Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay

Xiang-Hua Zhai, Yi Zhang

Caputo derivatives of fractional variable order: Numerical approximations

Dina Tavares, Ricardo Almeida, Delfim F.M. Torres

Fractional dynamics in the Rayleigh’s piston

J.A. Tenreiro Machado

Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations

Xiaojun Tang, Heyong Xu

Stability regions for fractional differential systems with a time delay

Jan Čermák, Jan Horníček, Tomáš Kisela

The controllability of fractional damped dynamical systems with control delay

Bin-Bin He, Hua-Cheng Zhou, Chun-Hai Kou

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Paper Highlight
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A cumulative entropy method for distribution recognition of model error

Y. J. Liang, W. Chen

Publication information: Physica A-Statistical Mechanics and Its Applications, 2015, 419, 729-735.

http://www.sciencedirect.com/science/article/pii/S0378437114009157

Abstract

This paper develops a cumulative entropy method (CEM) to recognize the most suitable distribution for model error. In terms of the CEM, the Lévy stable distribution is employed to capture the statistical properties of model error. The strategies are tested on 250 experiments of axially loaded CFT steel stub columns in conjunction with the four national building codes of Japan (AIJ, 1997), China (DL/T, 1999), the Eurocode 4 (EU4, 2004), and United States (AISC, 2005). The cumulative entropy method is validated as more computationally efficient than the Shannon entropy method. Compared with the Kolmogorov–Smirnov test and root mean square deviation, the CEM provides alternative and powerful model selection criterion to recognize the most suitable distribution for the model error.

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Research Group Introduction
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Fractional Partial Differential Equations ARO MURI Project -Fractional PDEs for Conservation Laws and Beyond: Theory, Numerics, and Applications

http://www.brown.edu/research/projects/muri-fractional-pde/home

Introduction

Welcome to the website of the research group on Fractional Partial Differential Equations for the ARO MURI project.

We are a multi-university group of mathematicians, engineers, and computer scientists investigating the science of fractional PDEs. Please explore our website to learn about upcoming events, current projects, research objectives, group members, publications, and seminars.

Fractional PDEs at Brown

The MURI Project is led by Professor George Karniadakis, who has established a computational research group in Fractional PDEs at Brown University.

My hope is that if members of the fractional community explore our site, they may contact our principal investigators to pursue collaborations related to our research areas. They can also be made aware of the publications resulting from our grant project in addition to upcoming talks and events hosted by our group.

Funding Agency

This research endeavor is supported by the Department of Defense's Multidisciplinary University Research Initiative (MURI) in coordination with the Army Research Office (ARO).

MURI Researchers and Collaborators

Brown University

Mark Ainsworth, Principal Investigator
Professor of Applied Mathematics
Brown University
Mark_Ainsworth@Brown.edu

George Em Karniadakis, Lead Principal Investigator
Charles Pitts Robinson & John Palmer Barstow Professor of Applied Mathematics
Brown University
George_Karniadakis@Brown.edu

Xuejuan Chen, Ph.D.
Visiting Scholar
Brown University
Xuejuan_Chen@Brown.edu

Anna Lischke, M.S.
Ph.D. Student
Brown University
Anna_Lischke@Brown.edu

Zhiping Mao, Ph.D.
Visiting Research Fellow
Brown University
Zhiping_Mao@Brown.edu

Fangying Song, Ph.D.
Postdoctoral Research Associate
Brown University
Fangying_Song@Brown.edu

Jorge Suzuki
Visiting Research Fellow
Brown University
Jorge_Suzuki@Brown.edu

Fanhai Zeng, Ph.D.
Visiting Scholar
Brown University
Fanhai_Zeng@Brown.edu

Dongkun Zhang
Ph.D. Candidate
Brown University
Dongkun_Zhang@Brown.edu

Columbia University

Qiang Du, Principal Investigator
Fu Foundation Professor of Applied Mathematics
Columbia University
qd2125@columbia.edu

Jiang Yang, Ph.D.
Postdoctoral Research Associate
Columbia University

Zhi Zhou, Ph.D.
Postdoctoral Research Associate
Columbia University
zhizhou0125@gmail.com

Mark Meerschaert, Principal Investigator
Professor of Statistics and Probability
Michigan State University
mcubed@stt.msu.edu

Harish Sankaranarayanan, Ph.D.
Visiting Research Scholar (Postdoc)
Michigan State University
harish@stt.msu.edu

Rice University

Pol Spanos, Principal Investigator
Lewis B. Ryon Professor of Mechanical and Civil Engineering
Rice University
spanos@rice.edu

University of South Carolina

Hong Wang, Principal Investigator
Professor of Mathematics
University of South Carolina
hwang@math.sc.edu

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The End of This Issue

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