FDA Express

FDA Express    Vol. 16, No. 2, August 15, 2015

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All issues: http://em.hhu.edu.cn/fda/

Editors: http://em.hhu.edu.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, pangguofei2008@126.com

For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF download:http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol16_No2_2015.pdf


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¡ô  Latest SCI Journal Papers on FDA

(Searched on 15th August 2015)

¡ô  Call for papers

Special Issue on  Fractional Order Systems and Controls

¡ô  Books

Fractional Order Darwinian Particle Swarm Optimization

¡ô  Journals

Fractional Calculus and Applied Analysis

¡ô  Paper Highlight

Fractional derivative anomalous diffusion equation modeling prime number distribution

Dispersion curves for 3D viscoelastic beams of solid circular cross section with fractional derivatives

¡ô  Websites of Interest

Fractional Calculus & Applied Analysis

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 Latest SCI Journal Papers on FDA

£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

(Searched on 15th August 2015)

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Fractional Newton mechanics with conformable fractional derivative

By: Chung, Won Sang

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 290   Pages: 150-158   Published: DEC 15 2015

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

By: Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 290   Pages: 174-195   Published: DEC 15 2015

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The modeling of the fractional-order shafting system for a water jet mixed-flow pump during the startup process

By: Xu, Beibei; Chen, Diyi; Zhang, Hao; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 29   Issue: 1-3   Pages: 12-24   Published: DEC 2015

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Generalized differential transform method for nonlinear boundary value problem of fractional order

By: Di Matteo, A.; Pirrotta, A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 29   Issue: 1-3   Pages: 88-101   Published: DEC 2015

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The finite element method for fractional non-local thermal energy transfer in non-homogeneous rigid conductors

By: Zingales, Massimiliano; Failla, Giuseppe

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 29   Issue: 1-3   Pages: 116-127   Published: DEC 2015

An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives

By: Yang, Xiao-Jun; Srivastava, H. M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 29   Issue: 1-3   Pages: 499-504   Published: DEC 2015

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Comparison principles and stability of nonlinear fractional-order cellular neural networks with multiple time delays

By: Liang, Song; Wu, Ranchao; Chen, Liping

NEUROCOMPUTING  Volume: 168   Pages: 618-625   Published: NOV 30 2015

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Multiconsensus of fractional-order uncertain multi-agent systems

By: Chen, Jie; Guan, Zhi-Hong; Li, Tao; et al.

NEUROCOMPUTING  Volume: 168   Pages: 698-705   Published: NOV 30 2015

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A fractionally cointegrated VAR analysis of economic voting and political support

By: Jones, Maggie E. C.; Nielsen, Morten Orregaard; Popiel, Michal Ksawery

CANADIAN JOURNAL OF ECONOMICS-REVUE CANADIENNE D ECONOMIQUE  Volume: 47   Issue: 4   Pages: 1078-1130   Published: NOV 2015

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Non-diminishing relative error of the predictor-corrector algorithm for certain fractional differential equations

By: Liu, Q. X.; Liu, J. K.; Chen, Y. M.

MATHEMATICS AND COMPUTERS IN SIMULATION  Volume: 117   Pages: 10-19   Published: NOV 2015

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A quadratic temporal finite element method for linear elastic structural dynamics

By: Kim, Jinkyu; Kim, Dongkeon

MATHEMATICS AND COMPUTERS IN SIMULATION  Volume: 117   Pages: 68-88   Published: NOV 2015

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A permeability model for power-law fluids in fractal porous media composed of arbitrary cross-section capillaries

By: Wang, Shifang; Wu, Tao; Qi, Hongyan; et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 437   Pages: 12-20   Published: NOV 1 2015  

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On a connection between the discrete fractional Laplacian and superdiffusion

By: Ciaurri, Oscar; Lizama, Carlos; Roncal, Luz; et al.

APPLIED MATHEMATICS LETTERS  Volume: 49   Pages: 119-125   Published: NOV 2015

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Fractal dimension in palm oil crystal networks during storage by image analysis and rheological measurements

By: Omar, Zaliha; Abd Rashid, Norizzah; Fauzi, Siti Hazirah Mohamad; et al.

LWT-FOOD SCIENCE AND TECHNOLOGY  Volume: 64   Issue: 1   Pages: 483-489   Published: NOV 2015

 

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Call for Papers

£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

Special Issue on  Fractional Order Systems and Controls

Published in IEEE/CAA Journal of Automatica Sinica

https://mc03.manuscriptcentral.com/aas-en

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Editor-in-Chief: Prof. Fei-Yue Wang

Guest Co-Editors:

Prof. 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-mail: yqchen@ieee.org, or, yangquan.chen@ucmerced.edu

(T: 1-209-2284672; W: http://mechatronics.ucmerced.edu/)

Prof. Dingyu XUE,

School of Information Sciences and Engineering,

Northeastern University, Shenyang 110004, P.R.China

E-mail: xuedingyu@ise.neu.edu.cn

Prof. Antonio VISIOLI,

Department of Mechanical and Industrial Engineering,

University of Brescia, Via Branze 38, I-25123 Brescia (Italy)

E-mail: antonio.visioli@ing.unibs.it; http://www.ing.unibs.it/~visioli

Fractional calculus is about differentiation and integration of non-integer orders. Using integer-order models and controllers for complex natural or man-made systems is simply for our own convenience while the nature runs in a fractional order dynamical way. Using integer order traditional tools for modelling and control of dynamic systems may result in suboptimum performance, that is, using fractional order calculus tools, we could be ¡°more optimal¡± as already documented in the literature. An interesting remark is that, using integer order traditional tools, more and more ¡°anomalous¡± phenomena are being reported or perhaps complained but in applied fractional calculus community, it is now more widely accepted that ¡°Anomalous is normal¡± in nature. We believe, beneficial uses of fractional calculus from an engineering point of view are possible and important. We also hope that fractional calculus might become an enabler for new science discoveries. Bruce J. West just finished a new book entitled ¡°The Fractional Dynamic View of Complexity - Tomorrow¡¯s Science¡± (CRC Press, late 2015). We resonate that, with this special issue, ¡°Fractional Order Systems and Controls¡± will one day enable ¡°tomorrow¡¯s sciences¡±.

Since 2012, several special issues were published in some leading journals which showcase the active interference of fractional calculus to control engineering. Clearly, there is a strong need to have a special issue in an emerging leading control journal such as IEEE/CAA Journal of Automatica Sinica (JAS). This focused special issue on control theory and applications is yet another effort to bring forward the latest updates from the applied fractional calculus community. For that we feel very excited and we hope the readers will feel the same.

The aim of this special issue is to show the control engineering research community the usefulness of the fractional order tools from signals to systems to controls. It is our sincere hope that this special issue will become a milestone of a significant trend in the future development of classical and modern control theory. The contributions may stimulate future industrial applications of the fractional order control leading to simpler, more economical, more energy efficient, more reliable and versatile systems with increasing complexities.

There is no doubt that with this special issue, the emerging concepts of fractional calculus will have their mathematical abstractness removed and become an attractive tool in the field of control engineering with more "good consequence". We welcome any contribution within the general scope of the Special Issue theme ¡°Fractional Order Systems and Controls¡±.

IMPORTANT DATES: (tentative)

31 August 2015: Paper Submission

31 October 2015: First Review

30 November 2015: Paper Acceptance

Issue #1 of 2016: Publication online

SUBMISSION GUIDELINES:

Potential authors are encouraged to upload the electronic file of their manuscript through the journal¡¯s online submission website:

https://mc03.manuscriptcentral.com/aas-en

All papers have to be written in English and submitted according to the IEEE/CAA Journal of Automatica Sinica guidelines.

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Books

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Fractional Order Darwinian Particle Swarm Optimization: Applications and Evaluation of an Evolutionary Algorithm
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Micael Couceiro, Pedram Ghamisi

Book Description

One of the most well-known bioinspired optimization techniques is particle swarm optimization (PSO), which has demonstrated remarkably high potential in optimization problems wherein conventional optimization techniques cannot find a satisfactory solution, due to nonlinearities and discontinuities. The PSO technique consists of a number of particles whose collective dynamics, resembling a biological ecosystem, allows effectively exploring the search space to find the optimal solution. The Darwinian PSO (DPSO) is an evolutionary optimization algorithm and an extension of the original PSO that makes use of Darwin¡¯s theory of natural selection to regulate the evolution of the particles and of their collective dynamics,so that complex optimization of functions exhibiting many local maxima/minima can be successfully accomplished. The fractional order DPSO (FODPSO) incorporates in DPSO the notion of fractional-order derivatives to attain memory of past decisions and even better convergence properties.

More information on this book can be found by the following link: http://link.springer.com/book/10.1007/978-3-319-19635-0

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 Journals

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Fractional Calculus and Applied Analysis

Volume 18, Issue 4

http://www.degruyter.com/view/j/fca.2015.18.issue-4/issue-files/fca.2015.18.issue-4.xml

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Editorial. FCAA Related News, Events and Books (FCAA¨CVolume 18¨C4¨C2015)

Kiryakova, Virginia

Multidimensional Generalized Erd¨¦lyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients

Karimov, Shakhobiddin T.

A (*, *)-Based Minkowski¡¯s Inequality for Sugeno Fractional Integral of Order ¦Á > 0

Babakhani, Azizollah / Agahi, Hamzeh / Mesiar, Radko

Multiplicity of Solutions for Fractional Hamiltonian Systems with Liouville-Weyl Fractional Derivatives

Mendez Cruz, G. Amado / Torres Ledesma, C¨¦sar E.

Synchronization of Systems with Fractional Environmental Noises on Finite Lattice

Gu, Anhui / Zeng, Caibin / Li, Yangrong

Reaction-Advection-Diffusion Equations with Space Fractional Derivatives and Variable Coefficients on Infinite Domain

Japundžić, Miloš / Rajter-Ćirić, Danijela

Pseudo Almost Automorphic Solution of Semilinear Fractional Differential Equations with the Caputo Derivatives

Wang, Dingjiang / Xia, Zhinan

A Description of Derivation Operators with Respect to Convolution of Generalized Gel¡¯Fond-Leont¡¯Ev Integration

Linchuk, Stepan S. / Linchuk, Yuriy S.

Local Solvability of a Linear System with a Fractional Derivative in Time in a Boundary Condition

Vasylyeva, Nataliya

Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel

Sandev, Trifce / Chechkin, Aleksei / Kantz, Holger / Metzler, Ralf

On Fully Mixed and Multidimensional Extensions of the Caputo and Riemann-Liouville Derivatives, Related Markov Processes and Fractional Differential Equations

Kolokoltsov, Vassili

Fractional Pennes¡¯ Bioheat Equation: Theoretical and Numerical Studies

Ferr¨¢s, Luis L. / Ford, Neville J. / Morgado, Maria L. / N¨®brega, João M. / Rebelo, Magda S.

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 Paper Highlight

£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

Fractional derivative anomalous diffusion equation modeling prime number distribution

Chen W, Liang YJ, Hu Shuai, Sun HG

Publication information: Chen W, Liang YJ, Hu Shuai, Sun HG . Fractional derivative anomalous diffusion equation modeling prime number distribution. FCAA, 2015, 18: 789-798.

http://www.degruyter.com/view/j/fca.2015.18.issue-3/fca-2015-0047/fca-2015-0047.xml?format=INT

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Abstract

This study suggests that the power law decay of prime number distribution can be considered a sub-diffusion process, one of typical anomalous diffusions, and could be described by the fractional derivative equation model, whose solution is the statistical density function of Mittag-Leffler distribution. It is observed that the Mittag-Leffler distribution of the fractional derivative diffusion equation agrees well with the prime number distribution and performs far better than the prime number theory. Compared with the Riemann¡¯s method, the fractional diffusion model is less accurate but has clear physical significance and appears more stable. We also find that the Shannon entropies of the Riemann¡¯s description and the fractional diffusion models are both very close to the original entropy of prime numbers. The proposed model appears an attractive physical description of the power law decay of prime number distribution and opens a new methodology in this field.

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Dispersion curves for 3D viscoelastic beams of solid circular cross section with fractional derivatives

Tsuneo Usuki

Publication information: Tsuneo Usuki. Dispersion curves for 3D viscoelastic beams of solid circular cross section with fractional derivatives. Journal of Sound and Vibration, 2013, 332: 126-144.

http://www.sciencedirect.com/science/article/pii/S0022460X12005974

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Abstract

The aim is to extend the theory to a viscoelastic beam that satisfies stress-free surface boundary conditions. A viscoelastic material (polyvinyl chloride) was used in the numerical calculation, and the phase and group velocity curves were derived for a viscoelastic beam from the case without damping to the case with damping proportional to the first-order derivative with respect to time. Based on the preliminary data, the phase and group velocity curves were derived for a beam of solid circular cross section. As a result, it was confirmed that, as earlier pointed out for elastic materials, these curves were controlled by the phase velocity inherent to the material. Finally, with the phase velocity and the group velocity of the beam, regularities were derived for the absolute value of the complex velocity on the complex plane.

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