FDA Express Vol. 5, No. 2, Oct. 30, 2012
Editors:
W. Chen H.G. Sun
X.D. Zhang
S. Hu
Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com,
fdaexpress@hhu.edu.cn
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
◆ News
Update on "Central European Journal of Physics" special issues for FDA2012
◆ Latest SCI Journal Papers on FDA
◆ Conferences
International Conference on Fractional Differentiation and Its Applications (ICFDA'14)
◆ Books
Further Developments in Fractals and Related Fields
Wavelets and Fractals in Earth System Sciences
◆ Journals
International Journal of Bifurcation and Chaos
Chaos, Solitons & Fractals
Nonlinear Dynamics (Volume 70, Number
1, 2,
3)
◆ Classical Papers
A brief history and exposition of the fundamental theory of fractional calculus
Polynomial operators, Stieltjes convolution, and fractional calculus in
hereditary mechanics
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News
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Latest
SCI Journal Papers on FDA
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Author(s): Li, Huaqing; Liao, Xiaofeng; Ullah, Saleem; et al.
Source: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 13 Issue: 6 Pages: 2724-2733 DOI: 10.1016/j.nonrwa.2011.12.028 Published: DEC 2012
Title: Numerical solutions for some generalized coupled nonlinear evolution equations
Author(s): Arafa, A. A. M.; Rida, S. Z.
Source: MATHEMATICAL AND COMPUTER MODELLING Volume: 56 Issue: 11-12 Pages: 268-277 DOI: 10.1016/j.mcm.2011.12.046 Published: DEC 2012
Times Cited: 0 (from All Databases)
Title: Adaptive pinning synchronization in fractional-order complex dynamical networks
Author(s): Chai, Yi; Chen, Liping; Wu, Ranchao; et al.
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 391 Issue: 22 Pages: 5746-5758 DOI: 10.1016/j.physa.2012.06.050 Published: NOV 15 2012
Title: An efficient method for segmentation of images based on fractional calculus and natural selection
Author(s): Ghamisi, Pedram; Couceiro, Micael S.; Benediktsson, Jon Atli; et al.
Source: EXPERT SYSTEMS WITH APPLICATIONS Volume: 39 Issue: 16 Pages: 12407-12417 DOI: 10.1016/j.eswa.2012.04.078 Published: NOV 15 2012
Title: The first integral method for some time fractional differential equations
Author(s): Lu, Bin
Source: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 395 Issue: 2 Pages: 684-693 DOI: 10.1016/j.jmaa.2012.05.066 Published: NOV 15 2012
Times Cited: 0 (from All Databases)
Title: Approximate solution to the time-space fractional cubic nonlinear Schrodinger equation
Author(s): Herzallah, Mohamed A. E.; Gepreel, Khaled A.
Source: APPLIED MATHEMATICAL MODELLING Volume: 36 Issue: 11 Pages: 5678-5685 DOI: 10.1016/j.apm.2012.01.012 Published: NOV 2012
Author(s): Chen, Taiyong; Liu, Wenbin
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 11 Pages: 1671-1675 DOI: 10.1016/j.aml.2012.01.035 Published: NOV 2012
Title: A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
Author(s): Malinowska, Agnieszka B.
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 11 Pages: 1941-1946 DOI: 10.1016/j.aml.2012.03.006 Published: NOV 2012
Author(s): Yang Liu; Zhang Weiguo; Liu Xiping
Source: APPLIED MATHEMATICS LETTERS Volume: 25 Issue: 11 Pages: 1986-1992 DOI: 10.1016/j.aml.2012.03.018 Published: NOV 2012
Title: alpha-stability and alpha-synchronization for fractional-order neural networks.
Author(s): Yu, Juan; Hu, Cheng; Jiang, Haijun
Source: Neural networks : the official journal of the International Neural Network Society Volume: 35 Pages: 82-7 DOI: 10.1016/j.neunet.2012.07.009 Published: 2012-Nov (Epub 2012 Aug 04)
Title: Primary resonance of Duffing oscillator with two kinds of fractional-order derivatives
Author(s): Shen, Yongjun; Yang, Shaopu; Xing, Haijun; et al.
Source: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS Volume: 47 Issue: 9 Pages: 975-983 DOI: 10.1016/j.ijnonlinmec.2012.06.012 Published: NOV 2012
Title: Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
Author(s): Shirzadi, Ahmad; Ling, Leevan; Abbasbandy, Saeid
Source: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS Volume: 36 Issue: 11 Pages: 1522-1527 DOI: 10.1016/j.enganabound.2012.05.005 Published: NOV 2012==========================================================================
Conferences
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International Conference on Fractional Differentiation and Its Applications (ICFDA'14)
The organization committee of the international conference on fractional differentiation and its applications has just opened its website at:
http://www.icfda14.dieei.unict.it/
This series of conferences is the largest of its kind. Following the previous successful conferences, 2004 in France, 2006 in Portugal, 2008 Turkey, 2010 in Spain, and 2012 in China, the ICFDA’14 is expected to be the largest gathering of researchers and practitioners in this field of research and applications. For the conference details, please visit the above website.
The organizing committee invites you from all over the world to come to Catania, Italy to attend this wonderful event.
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MESA-8 Fractional Order Dynamics and Applications
http://www.asmeconferences.org/IDETC2013/CallForPapersDetail.cfm
Description
Objectives: The Symposium seeks papers solicited in the area of fractional derivatives and their applications. The subjects of the papers may include, but are not limited to:
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Books
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Julien Barral and Stéphane Seuret
http://www.springer.com/birkhauser/mathematics/book/978-0-8176-8399-3
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.
The chapters cover fields related to fractals such as:
-geometric
measure theory
-ergodic theory
-dynamical systems
-harmonic and functional analysis
-number theory
-probability theory
Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.
Table of contents
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets.- Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields
Keywords: analysis on fractals, ergodic theory and dynamical systems, functional analysis, geometric measure theory, harmonic analysis, multifractals
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E. Chandrasekhar, V. M. Dimri and Vikram M. Gadre
http://www.crcpress.com/product/isbn/9781466553590
Presents a well-balanced treatment of wavelets, fractals, and multifractals with various applications
Covers the latest wavelets and fractals research relevant to the geosciences
Contains the basics as well as advanced material
Includes numerous examples and case studies
Summary
Although the applications of wavelets and fractals have increased in scientific and technological fields, including the earth sciences, there are few books devoted to the use of these techniques in the geosciences. This book highlights the role of advanced data processing techniques in current earth system science research. It covers applications of fractals, multifractals, and wavelets that address challenging problems in the earth sciences. It focuses on the continuous wavelet transform technique and uses examples to explain the differences between the wavelet method and other conventional signal processing techniques.
Table of contents
· Introduction to Wavelets and Fractals
· Construction of Wavelets: Principles and Practice
· The Genesis of Wavelet Transform, Types, and Applications
· Study of Self-Similar Properties of Data: A Wavelet Perspective
· Fractals and Wavelets in Applied Geophysics
· Role of Multifractal Studies in Earthquake Prediction
· Complex Wavelets and Geomagnetic Jerks
· Wavelets and Geophysical Well-Log Data Analysis
· Paleoclimatic Time Series: A Comparison of Wavelets with Other Methods
· Unraveling Nonstationary Behavior in Temperature Anomaly and Tree-Ring Data: A Wavelet Perspective
· Index
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International Journal of Bifurcation and Chaos
in Applied Sciences and Engineering
Volume 22, Number 09
Constantino Tsallis
Chaos in Cylindrical Stadium Billiards via A Generic Nonlinear Mechanism
Thomas Gilbert, David P. Sanders
Diego F. M. Oliveira, Marko Robnik
G. Ruiz, T. Bountis, C. Tsallis
L. P. Karakatsanis, G. P. Pavlos, D. S. Sfiris
Complex Matter and Nonlinear Kinetics: Crystal Size Distribution Due to Self-Organization
Vasileios Basios
On A Novel Class of Integrable Odes Related to The Painlevé Equations
Athanassios S. Fokas, Di Yang
C. Sophocleous, P. G. L. Leach
Emmanuel Floratos
N. Delis, C. Efthymiopoulos, G. Contopoulos
Analysis of Round Off Errors with Reversibility Test as A Dynamical Indicator
Davide Faranda, Martín Federico Mestre, Giorgio Turchetti
Enrico Gerlach, Siegfried Eggl, Charalampos Skokos
Matteo Sala, Cesar Manchein, Roberto Artuso
Probing The Local Dynamics of Periodic Orbits by The Generalized Alignment Index (Gali) Method
T. Manos, Ch. Skokos, Ch. Antonopoulos
Jehan Boreux, Timoteo Carletti, Charalampos Skokos, Yannis Papaphilippou, Michel Vittot
Bivariate Fractal Interpolation Surfaces: Theory and Applications
Vassileios Drakopoulos, Polychronis Manousopoulos
On A Closeness of The Julia Sets of Noise-Perturbed Complex Quadratic Maps
Ioannis Andreadis, Theodoros E. Karakasidis
Detection of Direct Causal Effects and Application to Epileptic Electroencephalogram Analysis
Angeliki Papana, Dimitris Kugiumtzis, Pål G. Larsson
Entropy Analysis of Word-Length Series of Natural Language Texts: Effects of Text Language and Genre
Maria Kalimeri, Vassilios Constantoudis, Constantinos Papadimitriou, Konstantinos Karamanos, Fotis K. Diakonos, Haris Papageorgiou
A. C. Iliopoulos, G. P. Pavlos, E. E. Papadimitriou, D. S. Sfiris, M. A. Athanasiou, V. G. Tsoutsouras
Connectivity Mapping of Human Brain by Phase Based Evolution Map Approach
H. Zhang, H. L. Benz, N. V. Thakor, A. Bezerianos
Functional Analysis for Parametric Families of Functional Data
Angela De Sanctis, Tonio Di Battista
Beta Encoders: Symbolic Dynamics and Electronic Implementation
Tohru Kohda, Yoshihiko Horio, Yoichiro Takahashi, Kazuyuki Aihara
Liancheng Wang
The Emergence and Evolution of Cooperation on Complex Networks
Han-Xin Yang, Wen-Xu Wang, Ying-Cheng Lai, Celso Grebogi
Simulation of Healthy and Epileptiform Brain Activity Using Cellular Automata
Vassilios Tsoutsouras, Georgios Ch. Sirakoulis, Georgios P. Pavlos, Aggelos C. Iliopoulos
Bifurcations in A Frequency-Weighted Kuramoto Oscillators Network
Hanqing Wang, Xiang Li
Sergej Čelikovský, Volodymyr Lynnyk
Simin Yu, Guanrong Chen
Exact Traveling Wave Solutions and Their Bifurcations for The Generalized Pochhammer–Chree Equations
Jibin Li, Guanrong Chen
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Volume 45, Issues 11
Chao-Qing Dai, Yue-Yue Wang, Guo-Quan Zhou
Yongkui Liu, Xiaojie Chen, Lin Zhang, Fei Tao, Long Wang
Xue Qun Yan
L. Beghin
Laura Gardini, Fabio Tramontana
A.A. Elsadany
M. Ausloos
Alireza Zamani Bahabadi
Zhixian Yu, Rong Yuan
Cheng Hu, Haijun Jiang
Slobodan Zdravković, Louis Kavitha, Miljko V. Satarić, Slobodan Zeković, Jovana Petrović
Raghavendra D. Naik, Pravin M. Singru
Haihong Li, Qionglin Dai, Hongyan Cheng, Junzhong Yang
Yanguang Chen, Jian Feng
Li Feng
Zheng Zhou, Wenhua Hai, Yan Deng, Qiongtao Xie
Tieyan Si
Sanguo Zhu
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Volume 70, Number 2 http://www.springerlink.com/content/0924-090x/70/2/
Volume 70, Number 3 http://www.springerlink.com/content/0924-090x/70/3/
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A brief history and exposition of the fundamental theory of fractional calculus
Publication information: Bertram Ross. A brief history and exposition of the fundamental theory of fractional calculus. Fractional Calculus And Its Applications, Lecture Notes in Mathematics, 1975, Volume 457/1975, 1-36, DOI: 10.1007/BFb0067096.
http://www.springerlink.com/content/p75p368712n88u5w/
Abstract
This opening lecture is intended to serve as a propaedeutic for the papers to be presented at this conference whose nonhomogeneous audience includes scientists, mathematicians, engineers and educators. This expository and developmental lecture, a case study of mathematical growth, surveys the origin and development of a mathematical idea from its birth in intellectual curiosity to applications. The fundamental structure of fractional calculus is outlined. The possibilities for the use of fractional calculus in applicable mathematics is indicated. The lecture closes with a statement of the purpose of the conference.－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics
Publication information: R. C. Koeller. Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics. ACTA MECHANICA, Volume 58, Numbers 3-4 (1986), 251-264, DOI: 10.1007/BF01176603.
http://www.springerlink.com/content/lt2p66kw30680171/
Abstract
Fractional calculus is used to describe the general behavior of materials with memory. An expression for the fractional derivative or the fractional integral is developed in terms of the Stieltjes convolution and the Riesz distribution. The general fractional calculus polynomial operator constitutive equation is reduced to a Stieltjes convolution. A constitutive equation which depends on a memory parameter for an isotropic viscoelastic material is presented. The proposed creep compliance has an initial response, a primary creep region, a secondary creep region and a tertiary creep region. The corresponding relaxation modulus has a glassy region, a leathery region, a rubbery region and a liquid region.
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The End of This Issue
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