FDA Express Vol. 7, No. 3, May 15, 2013
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Editors: http://em.hhu.edu.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com,
hushuaihhu@gmail.com
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↑ Latest SCI Journal Papers on FDA
↑ Conferences
The International Conference "MATHEMATICAL METHODS IN ENGINEERING"
↑ Books
A Tale of Two Fractals↑ Journals
Communications in Nonlinear Science and Numerical Simulation
↑ Paper Highlight
Applications of fractional calculus to the theory of viscoelasticity
Analysis of four-parameter fractional derivative model of real solid materials
↑ Websites of Interest
Fractional Calculus & Applied Analysis, Volume 16, No 1, 2013
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Latest
SCI Journal Papers on FDA
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Title:
Fractional-order
variational optical flow model for motion estimation
Author(s): Chen, Dali; Sheng, Hu; Chen, YangQuan; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120148 DOI: 10.1098/rsta.2012.0148 Published: MAY 13
2013
Title:
A high-speed algorithm for computation of
fractional differentiation and
fractional integration
Author(s): Fukunaga, Masataka; Shimizu, Nobuyuki
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120152 DOI: 10.1098/rsta.2012.0152 Published: MAY 13
2013
Title:
On reflection symmetry and its application
to the Euler-Lagrange equations in
fractional mechanics
Author(s): Klimek, Malgorzata
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120145 DOI: 10.1098/rsta.2012.0145 Published: MAY 13
2013
Title:
Fractional
calculus and its applications
Author(s): Li, Changpin; Chen, YangQuan; Kurths, Juergen
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20130037 DOI: 10.1098/rsta.2013.0037 Published: MAY 13
2013
Title:
Equivalent system for a
multiple-rational-order
fractional
differential system
Author(s): Li, Changpin; Zhang, Fengrong; Kurths, Juergen; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120156 DOI: 10.1098/rsta.2012.0156 Published: MAY 13
2013
Title:
Application of the principal
fractional meta-trigonometric functions for the solution of linear
commensurate-order time-invariant
fractional
differential equations
Author(s): Lorenzo, C. F.; Hartley, T. T.; Malti, R.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120151 DOI: 10.1098/rsta.2012.0151 Published: MAY 13
2013
Title:
Matrix approach to discrete
fractional
calculus III: non-equidistant grids, variable step length and distributed
orders
Author(s): Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120153 DOI: 10.1098/rsta.2012.0153 Published: MAY 13
2013
Title:
Modelling heat transfer in heterogeneous
media using
fractional
calculus
Author(s): Sierociuk, Dominik; Dzielinski, Andrzej; Sarwas, Grzegorz; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120146 DOI: 10.1098/rsta.2012.0146 Published: MAY 13
2013
Title:
A semi-discrete finite element method for a
class of time-fractional
diffusion equations
Author(s): Sun, HongGuang; Chen, Wen; Sze, K. Y.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120268 DOI: 10.1098/rsta.2012.0268 Published: MAY 13
2013
Title:
Stability and convergence of an implicit
numerical method for the space and time
fractional Bloch-Torrey equation
Author(s): Yu, Qiang; Liu, Fawang; Turner, Ian; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120150 DOI: 10.1098/rsta.2012.0150 Published: MAY 13
2013
Title:
Chaos synchronization in
fractional
differential systems
Author(s): Zhang, Fengrong; Chen, Guanrong; Li, Changpin; et al.
Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL
AND ENGINEERING SCIENCES Volume: 371 Issue: 1990 Special Issue: SI
Article Number: 20120155 DOI: 10.1098/rsta.2012.0155 Published: MAY 13
2013
Title:
A De Giorgi-Nash type theorem for time
fractional diffusion equations
Author(s): Zacher, Rico
Source: MATHEMATISCHE ANNALEN Volume: 356 Issue: 1 Pages: 99-146 DOI:
10.1007/s00208-012-0834-9 Published: MAY 2013
Title:
Application of the nonlocal Darcy law to the
propagation of nonlinear thermoelastic waves in fluid saturated porous media
Author(s): Garra, R.; Salusti, E.
Source: PHYSICA D-NONLINEAR PHENOMENA Volume: 250 Pages: 52-57 DOI:
10.1016/j.physd.2013.01.014 Published: MAY 1 2013
Title:
Laplace-Transform Based Inversion Method for
Fractional Dispersion
Author(s): Ouloin, M.; Maryshev, B.; Joelson, M.; et al.
Source: TRANSPORT IN POROUS MEDIA Volume: 98 Issue: 1 Pages: 1-14 DOI:
10.1007/s11242-012-0104-z Published: MAY 2013
Title:
Active disturbance rejection control for
fractional-order system.
Author(s): Li, Mingda; Li, Donghai; Wang, Jing; et al.
Source: ISA transactions Volume: 52 Issue: 3 Pages: 365-74 DOI:
10.1016/j.isatra.2013.01.001 Published: 2013-May (Epub 2013 Feb 08)
Title:
A superfast-preconditioned iterative method
for steady-state space-fractional
diffusion equations
Author(s): Wang, Hong; Du, Ning
Source: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 240 Pages: 49-57 DOI:
10.1016/j.jcp.2012.07.045 Published: MAY 1 2013
Title:
Deformation of roots of polynomials via
fractional derivatives
Author(s): Galligo, Andre
Source: JOURNAL OF SYMBOLIC COMPUTATION Volume: 52 Special Issue: SI Pages:
35-50 DOI: 10.1016/j.jsc.2012.05.011 Published: MAY 2013
Title:
Unique continuation property for the
anomalous diffusion and its application
Author(s): Cheng, Jin; Lin, Ching-Lung; Nakamura, Gen
Source: JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 254 Issue: 9 Pages:
3715-3728 DOI: 10.1016/j.jde.2013.01.039 Published: MAY 1 2013
Title:
A Caputo
Fractional Order Boundary Value Problem with
Integral Boundary Conditions
Author(s): Babakhani, Azizollah; Abdeljawad, Thabet
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 15 Issue:
4 Pages: 753-763 Published: MAY 2013
Title:
On chaos control and synchronization of the
commensurate
fractional order Liu system
Author(s): Hegazi, A. S.; Ahmed, E.; Matouk, A. E.
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18
Issue: 5 Pages: 1193-1202 DOI: 10.1016/j.cnsns.2012.09.026 Published:
MAY 2013
Title:
Numerical solution of nonlinear
fractional-order Volterra integro-differential
equations by SCW
Author(s): Zhu, Li; Fan, Qibin
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 18
Issue: 5 Pages: 1203-1213 DOI: 10.1016/j.cnsns.2012.09.024 Published:
MAY 2013
Title:
Numerical approach for solving
fractional relaxation-oscillation equation
Author(s): Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse
Source: APPLIED MATHEMATICAL MODELLING Volume: 37 Issue: 8 Pages: 5927-5937
DOI: 10.1016/j.apm.2012.12.015 Published: APR 15 2013
Title:
Numerical solution of the
fractional-order Vallis systems using multi-step
differential transformation method
Author(s): Merdan, Mehmet
Source: APPLIED MATHEMATICAL MODELLING Volume: 37 Issue: 8 Pages: 6025-6036
DOI: 10.1016/j.apm.2012.11.007 Published: APR 15 2013
Title:
Fractional
order iterative functional
differential equations with parameter
Author(s): Wang, JinRong; Feckan, Michal; Zhou, Yong
Source: APPLIED MATHEMATICAL MODELLING Volume: 37 Issue: 8 Pages: 6055-6067
DOI: 10.1016/j.apm.2012.12.011 Published: APR 15 2013
Title:
Parameter and differentiation order
estimation in
fractional models
Author(s): Victor, Stephane; Malti, Rachid; Garnier, Hugues; et al.
Source: AUTOMATICA Volume: 49 Issue: 4 Pages: 926-935 DOI:
10.1016/j.automatica.2013.01.026 Published: APR 2013
Title:
A numerical method for solving a
fractional partial
differential equation through converting it into an NLP problem
Author(s): Ghandehari, Mohammad Ali Mohebbi; Ranjbar, Mojtaba
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 65 Issue: 7
Pages: 975-982 DOI: 10.1016/j.camwa.2013.01.003 Published: APR 2013
Title:
Adaptive control and synchronization of a
fractional-order chaotic system
Author(s): Li, Chunlai; Tong, Yaonan
Source: PRAMANA-JOURNAL OF PHYSICS Volume: 80 Issue: 4 Pages: 583-592 DOI:
10.1007/s12043-012-0500-5 Published: APR 2013
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Conferences
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The International Conference "MATHEMATICAL METHODS IN ENGINEERING"
---- The Institute of Engineering of the Polytechnic of Porto, Portugal, July 22-26, 2013
http://www.dma.isep.ipp.pt/mme2013/
Scope
The International Conference "MATHEMATICAL METHODS IN ENGINEERING" will be
held in the Institute of Engineering of the Polytechnic of Porto, Portugal, July
22-26, 2013. The aim of this conference is to bring together scientists and
engineers to present and discuss some recent developments in the area of
Mathematical Methods in Engineering. The conference is designed to maximize the
involvement of all participants and will present the state of the art research
and the latest achievements.
Symp-04 Title: Fractional calculus and its applications
Organizers: Dumitru Baleanu, Cankaya University, Ankara,Turkey -
dumitru@cankaya.edu.tr
Xiao-Jun Yang, China University of Mining & Technology, Xuzhou, P. R. China -
dyangxiaojun@163.com
Abstract: The theory and applications of fractional differential equations are gaining relevance since they are used in the modeling of different processes in various branches in science and engineering. The aim of this symposium is to bring together researchers from various disciplines in order to debate the open problems of the fractional calculus and its applications.
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A.A. Kirillov
Book Description
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research
articles and books have been published on the topic of fractals. Despite the
volume of literature in the field, the general level of theoretical
understanding has remained low; most work is aimed either at too mainstream an
audience to achieve any depth or at too specialized a community to achieve
widespread use. Written by celebrated mathematician and educator A.A. Kirillov,
A Tale of Two Fractals is intended to help bridge this gap, providing an
original treatment of fractals that is at once accessible to beginners and
sufficiently rigorous for serious mathematicians. The work is designed to give
young, non-specialist mathematicians a solid foundation in the theory of
fractals, and, in the process, to equip them with exposure to a variety of
geometric, analytical, and algebraic tools with applications across other areas.
Contents
Part I The Sierpinski Gasket
1 Definitions and General Properties
2 The Laplace Operator on the Sierpinski Gasket
3 Harmonic Functions on the Sierpinski Gasket
Part II The Apollonian Gasket
4 Circles and Disks on Spheres
5 Definitions of the Apollonian Gasket
6 Arithmetic Properties of Apollonian Gaskets
7 Geometric and Group- Theoretic Approach
8 Multi-dimensional Apollonian Gaskets
Bibliography
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Communications in Nonlinear Science and Numerical Simulation
Volume18, Issue10
Regular Articles
Mathematical Methods
Conservation laws and exact solutions for nonlinear diffusion in anisotropic
media
Elena D. Avdonina, Nail H. Ibragimov
Replication of chaos
M.U. Akhmet, M.O. Fen
Analytical solutions to detect the scheme dispersion for the coupled nonlinear
equations
A.V. Porubov, D. Bouche, G. Bonnaud
Nonlinear Fluids
Application of the two-dimensional differential transform method to heat
conduction problem for heat transfer in longitudinal rectangular and convex
parabolic fins
Partner L. Ndlovu, Raseelo J. Moitsheki
Analytical studies on the instabilities of heterogeneous intelligent traffic
flow
D. Ngoduy
Chaos and Complexity
H1-random
attractors and random equilibria for stochastic reaction每diffusion equations
with multiplicative noises
Wenqiang Zhao
A scoring mechanism for the rank aggregation of network robustness
Alireza Yazdani, Leonardo Dueñas-Osorio, Qilin Li
Nonlinear system identification employing automatic differentiation
Jan Schumann-Bischoff, Stefan Luther, Ulrich Parlitz
Synchronization
Asymptotical synchronization for chaotic Lur＊e systems using sampled-data
control
Chuan-Ke Zhang, L. Jiang, Yong He, Q.H. Wu, Min Wu
Group synchronization in complex dynamical networks with different types of
oscillators and adaptive coupling schemes
Zhen Jia, Xinchu Fu, Guangming Deng, Kezan Li
Multivalued synchronization by Poincar谷 coupling
L.J. Ontañ車n-Garcı́a, E. Campos-Cant車n, R. Femat, I. Campos-Cant車n, M. Bonilla-Mar赤n
Effect of spatial distribution on the synchronization in rings of coupled
oscillators
Hongjing Ma, Weiqing Liu, Ye Wu, Yixian Yang, Jinghua Xiao
Control of synchronization and spiking regularity by heterogenous aperiodic
high-frequency signal in coupled excitable systems
Ying-Mei Qin, Jiang Wang, Cong Men, Wai-Lok Chan, Xi-Le Wei, Bin Deng
Self-synchronization of coupled chaotic FitzHugh每Nagumo systems with unreliable
communication links
Dedong Yang
Nonlinear Dynamical Systems
Homogeneous feedback design of differential inclusions based on control Lyapunov
functions
Junfeng Zhang, Zhengzhi Han, Jun Huang
A new lattice model of traffic flow with the consideration of individual
difference of anticipation driving behavior
Guanghan Peng
Dynamics modelling and Hybrid Suppression Control of space robots performing
cooperative object manipulation
P. Zarafshan, S. Ali A. Moosavian
An asymmetric image cryptosystem based on the adaptive synchronization of an
uncertain unified chaotic system and a cellular neural network
Chao-Jung Cheng, Chi-Bin Cheng
Instability of cooperative adaptive cruise control traffic flow: A macroscopic
approach
D. Ngoduy
Suprathreshold stochastic resonance in multilevel threshold system driven by
multiplicative and additive noises
Yongfeng Guo, Jianguo Tan
The fractional supertrace identity and its application to the super Jaulent每Miodek
hierarchy
Hui Wang, Tie-Cheng Xia
Application of three controls optimally in a vector-borne disease 每 a
mathematical study
T.K. Kar, Soovoojeet Jana
An adaptive sliding mode backstepping control for the mobile manipulator with
nonholonomic constraints
Naijian Chen, Fangzhen Song, Guoping Li, Xuan Sun, Changsheng Ai
Nonlinear Vibration
Fractional derivative and time delay damper characteristics in Duffing每van der
Pol oscillators
A.Y.T. Leung, Zhongjin Guo, H.X. Yang
Effect of contact stiffness modulation in contact-mode AFM under subharmonic
excitation
Ilham Kirrou, Mohamed Belhaq
Nonlinear dynamics and bifurcations in external feedback control of
microcantilevers in atomic force microscopy
Kazuyuki Yagasaki
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Volume 23, Issue 2
Regular Articles
Attracting and repelling Lagrangian coherent structures from a single
computation
Mohammad Farazmand and George Haller
Intermittency in relation with 1/f noise and stochastic differential equations
J. Ruseckas and B. Kaulakys
Beyond long memory in heart rate variability: An approach based on fractionally
integrated autoregressive moving average time series models with conditional
heteroscedasticity
Argentina Leite, Ana Paula Rocha, and Maria Eduarda Silva
Bifurcations in a low-order nonlinear model of tropical Pacific sea surface
temperatures derived from observational data
Mei Hong, Ren Zhang, Hui-Zan Wang, Jing-jing Ge, and Ao-Da Pan
Characterization of multiscroll attractors using Lyapunov exponents and
Lagrangian coherent structures
Filipe I. Fazanaro, Diogo C. Soriano, Ricardo Suyama, Romis Attux, Marconi K.
Madrid, and Jos谷 Raimundo de Oliveira
Child allowances, fertility, and chaotic dynamics
Hung-Ju Chen and Ming-Chia Li
Effective suppressibility of chaos
Álvaro G. L車pez, Jes迆s M. Seoane, and Miguel A. F. Sanju芍n
Robust global synchronization of two complex dynamical networks
Mohammad Mostafa Asheghan and Joaqu赤n M赤guez
Eigenstates and instabilities of chains with embedded defects
J. D'Ambroise, P. G. Kevrekidis, and S. Lepri
Experimental distinction between chaotic and strange nonchaotic attractors on
the basis of consistency
Seiji Uenohara, Takahito Mitsui, Yoshito Hirata, Takashi Morie, Yoshihiko Horio,
and Kazuyuki Aihara
Four dimensional chaos and intermittency in a mesoscopic model of the
electroencephalogram
Mathew P.
Dafilis, Federico Frascoli, Peter J. Cadusch, and David T. J. Liley
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Applications of fractional calculus to the theory of viscoelasticity
R. C. Koeller
Publication information: R. C. Koeller, Applications
of fractional calculus to the theory of viscoelasticity, Journal of Applied
Mechanics, 1984, 51(2): 299-307.
http://cat.inist.fr/?aModele=afficheN&cpsidt=9670707
Abstract
The connection between the fractional calculus and the theory of Abel's integral
equation is shown for materials with memory. Expressions for creep and
relaxation functions, in terms of the Mittag-Leffler function that depends on
the fractional derivative parameter
b, are obtained. These creep and relaxation
functions allow for significant creep or relaxation to occur over many decade
intervals when the memory parameter
b
is in the range of 0.05-0.35. It is shown that the fractional calculus
constitutive equation allows for a continuous transition from the solid state to
the fluid state when the memory parameter varies from zero to one.
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Analysis of four-parameter fractional derivative model of real solid materials
T. Pritz
Publication information: T. Pritz, Analysis of
four-parameter fractional derivative model of real solid materials. Journal of
Sound and Vibration, 195(1), 1996, Pages 103-115.
http://www.sciencedirect.com/science/article/pii/S0022460X9690406X
Abstract
The introduction of fractional derivatives into the constitutive equation of the
differential operator type of linear solid materials has led to the development
of the so-called fractional derivative models. One of these models,
characterized by four parameters, has been found usable for describing the
variation of dynamics elastic and damping properties in a wide frequency range,
provided that there is only one loss peak. In this paper this four-parameter
model is theoretically analyzed. The effect of the parameters on the frequency
curves is demonstrated, and it is shown that there is a strict relation between
the dispersion of the dynamic modulus, the loss peak and the slope of the
frequency curves. The half-value bandwidth of the loss modulus frequency curve
is investigated, and conditions are developed to establish the applicability of
the model for a class of materials. Moreover, it is shown that the model can be
used to predict the frequency dependences of dynamic properties for a wide range
even if measurements are made in only a narrow frequency range around the loss
peak.
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The End of This Issue
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