FDA Express

MDS 2014: The Institute of Mathematics and Informatics (IMI) – Bulgarian Academy of Sciences (BAS) will organize and host the international conference “Mathematics Days in Sofia” (July 7-10, 2014), with details available at http://www.math.bas.bg/mds2014/ .

TMSF ’14: In frames of this conference, we organize a minisymposium “Transform

Methods and Special Functions” (TMSF), arrival day: July 6, 2014, on occasion of 80^th anniversary of Professor Ivan Dimovski (http://versita.com/people/dimovski/). This will be the 7th in the series of the international meetings TMSF organized periodically in Bulgaria: 1994 (Sofia), 1996 (Varna), 1999 (Blagoevgrad), 2003 (Borovets), 2010 (Sofia), 2011 (Sofia); see details at http://www.math.bas.bg/~tmsf .

Traditional topics of the TMSF meetings:

– Classical and Generalized Integral Transforms;

– Fractional Calculus; – Fractional Differential and Integral Equations;

– Operational and Convolutional Calculus;

– Special Functions, Classical Orthogonal Polynomials;

– Geometric Function Theory, Functions of One Complex Variable;

– Related Topics of Analysis, Differential Equations, Applications, etc.

International Steering Committee: Blagovest Sendov (Bulgaria), Bogoljub Stankovic (Serbia), Shyam L. Kalla (India), Hari M. Srivastava (Canada), Peter Rusev (Bulgaria), Hans-Juergen Glaeske (Germany), Yury Luchko (Germany), Stevan Pilipovic (Serbia), Krystyna Skornik (Poland), Andrzej Kaminski (Poland), Arpad Takaci (Serbia)

Organizing Committee: Virginia Kiryakova (Chair), Georgi Dimkov, Jordanka Paneva-Konovska, Sava Grozdev, Emilia Bazhlekova, Rumian Lazov, Valentin Hristov, Nikolaj Bozhinov, Yulian Tsankov, Margarita Spiridonova – Bulgaria; Djurdjica Takaci (Serbia), Svetlana Mincheva-Kaminska (Poland)

Registration fees: for all participants in the conference MDS-2014, these are EUR 80

(or equivalently 160 BGN). The fees cover the conference kit, attendance of conference, welcome party, official dinner, social activities and coffee breaks. The fee is to be paid in cash upon arrival or before June 30, 2014, by bank transfer, see details at http://www.math.bas.bg/mds2014/MDS2014_fees_frame.htm .

Hotel accommodation is offered in nearby hotels, 3- and 4-stars, at prices between 25 and 45 EUR/ single room, see http://www.math.bas.bg/mds2014/MDS2014_hotels_frame.htm

Abstracts: for TMSF’14 (only) the deadline is 15 April, to be sent to V. Kiryakova, use the templates from http://www.math.bas.bg/mds2014/MDS2014_submit_frame.htm .

Selected papers presented at this TMSF symposium will be considered for publication in the Springer-Versita journal “Fractional Calculus and Applied Analysis” (if closely related to the FCAA topics, http://link.springer.com/journal/13540, http://www.math.bas.bg/~fcaa) and other suitable international mathematical journals. Preparation in LaTeX is obligatory.

More detailed information: will be coming soon.

For contacts: Virginia Kiryakova, e-mail: tmsf@math.bas.bg , or virginia@diogenes.bg

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Books

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The Realization Problem for Positive and Fractional Systems (Studies in Systems, Decision and Control)

Tadeusz Kaczorek, Lukasz Sajewski

Book Description

This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. Roughly speaking the essence of the realization problem can be stated as follows: Find the matrices of the state space equations of linear systems for given their transfer matrices. This first book on this topic shows how many well-known classical approaches have been extended to the new classes of positive and fractional linear systems. The modified Gilbert method for multi-input multi-output linear systems, the method for determination of realizations in the controller canonical forms and in observer canonical forms are presented. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed. The book also presents a method for the determination of minimal realizations of descriptor linear systems and an extension for cone linear systems. This monographs summarizes recent original investigations of the authors in the new field of the positive and fractional linear systems.

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

http://www.springer.com/engineering/control/book/978-3-319-04833-8

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Flows, Energetics, and Waves: Mathematical Applications: Physical Sciences and Engineering Analysis

Timothy S. Margulies

Book Description

Mathematics and engineering analysis for a multi-dimensional, multi-disciplinary world has embraced kinematics, motions, and energy with classical calculus, as well as fractional. Moreover, traditional education physical science and engineering areas are blending and mixing for research and for real design applications. These notes and investigations present intermediate and advanced level treatments with a sprinkling of elementary. The presented calculus has an evolutionary perspective of addressing change, as well as accumulated change in a unified manner to better understand motions and memory described through both quantification and computation. Several original contributions are made on reactive power law fluid flows, on lubrication, on acoustic horn shapes, on dielectric relaxation, as well as on peristaltic pumping. Moreover, new perspectives are given for dissipation contributions in energetics of the motions.

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Journals

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Communications in Nonlinear Science and Numerical Simulation

Volume 19, Issue 3(selected)

Short Communications

Comments on the concept of existence of solution for impulsive fractional differential equations

Guotao Wang, Bashir Ahmad, Lihong Zhang, Juan J. Nieto

Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients

Houria Triki, Abdul-Majid Wazwaz

Regular articles

Exact separable solutions of delay reaction–diffusion equations and other nonlinear partial functional-differential equations

Andrei D. Polyanin, Alexei I. Zhurov

Functional constraints method for constructing exact solutions to delay reaction–diffusion equations and more complex nonlinear equations

Andrei D. Polyanin, Alexei I. Zhurov

Associate symmetries: A novel procedure for finding contact symmetries

G.F. Jefferson, J. Carminati

On the global exponential stability of impulsive functional differential equations with infinite delays or finite delays

Xiaodi Li, Xilin Fu

Bäcklund transformations for new fourth Painlevé hierarchies

J.M. Conde, P.R. Gordoa, A. Pickering

A modification of the invariant imbedding method for a singular boundary value problem

K.V. Koshel, E.A. Ryzhov, V.N. Zyryanov

Elliptic solutions in the Hénon–Heiles model

Maria V. Demina, Nikolay A. Kudryashov

Wavelet operational matrix method for solving the Riccati differential equation

Yuanlu Li, Ning Sun, Bochao Zheng, Qi Wang, Yingchao Zhang

Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay

Shaohua Long, Shouming Zhong, Hong Zhu, Lianglin Xiong

Stability analysis of impulsive functional systems of fractional order

Ivanka Stamova, Gani Stamov

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Nonlinear Dynamics

Volume 75, Issue 4

Toward less conservative stability and stabilization conditions for T-S fuzzy systems

Sung Hyun Kim

New results on stability and stabilization of a class of nonlinear fractional-order systems

Liping Chen, Yigang He, Yi Chai, Ranchao Wu

Analysis of a two-dimensional nonsmooth Poincaré-like map

G. Tigan

Dynamic simulation of liquid-filled flexible multibody systems via absolute nodal coordinate formulation and SPH method

Wei Hu, Qiang Tian, Haiyan Hu

Identification of the nonlinear vibration characteristics in hydropower house using transfer entropy

Wan-Quan Sun, Dong-Ming Yan

An ε-generalized gradient projection method for nonlinear minimax problems

Guo-Dong Ma, Jin-Bao Jian

Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system

Da-Wei Zuo, Yi-Tian Gao, Gao-Qing Meng, Yu-Jia Shen, Xin Yu

Iterative estimation methods for Hammerstein controlled autoregressive moving average systems based on the key-term separation principle

Qianyan Shen, Feng Ding

Lyapunov stability for continuous-time multidimensional nonlinear systems

Hamid Reza Shaker, Fatemeh Shaker

Airship horizontal trajectory tracking control based on Active Disturbance Rejection Control (ADRC)

Erlin Zhu, Jinfeng Pang, Na Sun, Haitao Gao, Qinglin Sun

Relativistic time effects in financial dynamics

J. A. Tenreiro Machado

Analytical and numerical investigation of a new Lorenz-like chaotic attractor with compound structures

Shijian Cang, Zenghui Wang, Zengqiang Chen, Hongyan Jia

Topology identification of complex networks from noisy time series using ROC curve analysis

Juan Chen, Jun-an Lu, Jin Zhou

Dissipativity-based stable controller redesign for nonlinear MIMO switched systems in the presence of perturbations

Hojjatullah Moradi, Vahid Johari Majd

Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems

Farshidianfar, A. Saghafi

A technique for digital steganography using chaotic maps

Amir Anees, Adil Masood Siddiqui, Jameel Ahmed, Iqtadar Hussain

Synchronization of two different chaotic systems with discontinuous coupling

Hongjun Shi, Yongzheng Sun, Donghua Zhao

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Fractional Calculus and Applied Analysis (and FCAA related news, events and books)

Volume 17, Issue 2

The new issue will be available online soon. For a quick look at its content see here.

The Editorial Note with some conference information can be seen here.

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Paper Highlight
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A new fractional derivative model for linearly viscoelastic materials and parameter identification via genetic algorithms

Aytac Arikoglu

Publication information: Aytac Arikoglu . A new fractional derivative model for linearly viscoelastic materials and parameter identification via genetic algorithms. Rheologica Acta, 2014, 53 (3):219-233.

http://link.springer.com/article/10.1007/s00397-014-0758-2

Abstract

Coupled continuous time random walks (CTRWs) model normal and anomalous diffusion of random walkers by taking the sum of random jump lengths dependent on the random waiting times immediately preceding each jump. They are used to simulate diffusionlike processes in econophysics such as stock market fluctuations, where jumps represent financial market microstructure like log returns. In this and many other applications, the magnitude of the largest observations (e.g. a stock market crash) is of considerable importance in quantifying risk. We use a stochastic process called a coupled continuous time random maxima (CTRM) to determine the density govIn this study, a new nested model consisting of springs and “spring pots” is proposed to better simulate the viscoelastic behavior of polymeric damping materials in the frequency domain. First, the one-dimensional constitutive equation that consists of ten parameters is derived. The dynamical mechanical properties, which are the storage modulus, the loss modulus, and the loss factor, are obtained from this equation. Then, the low- and high-frequency behavior of this model is investigated. Moreover, a new methodology to identify the unknown parameters that appear in the fractional derivative model, from the experimental data for the Wicket plot, by using genetic algorithms (GAs) is presented. This approach does not require shifting of the experimental data; therefore, possible errors that may arise are eliminated. The new model is fitted to experimental data for several polymeric damping materials that exist in the literature, in order to verify its success. The results are presented in a graphical form with comparison to the already existing models.

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Analysis of Water Injection in Fractured Reservoirs Using a Fractional-Derivative-Based Mass and Heat Transfer Model

Anna Suzuki, Yuichi Niibori, Sergei A. Fomin, Vladimir A. Chugunov, Toshiyuki Hashida

Publication information: Anna Suzuki, Yuichi Niibori, Sergei A. Fomin, Vladimir A. Chugunov, Toshiyuki Hashida. Analysis of Water Injection in Fractured Reservoirs Using a Fractional-Derivative-Based Mass and Heat Transfer Model. Mathematical Geosciences, 2014, DOI: 10.1007/s11004-014-9522-5.

http://link.springer.com/article/10.1007/s11004-014-9522-5

Abstract

We study diffusion in a heterogeneous medium that is characterized by spatially varying diffusion properties from a random walk point of view. We show that an inhomogeneous continuous time random walk (CTRW) with a spaThis research proposes a numerical scheme for evaluating the effect of cold-water injection into a geothermal reservoir. A fractional heat transfer equation (fHTE) is derived based on the fractional advection–dispersion equation (fADE) that describes non-Fickian dispersion in a fractured reservoir. Numerical simulations are conducted to examine the applicability of the fADE and the fHTE in interpreting tracer and thermal responses in a fault-related subsidiary structure associated with fractal geometry. A double-peak is exhibited when the surrounding rocks have a constant permeability. On the other hand, the peak in the tracer response gradually decreases when the permeability varies with distance from the fault zone according to a power law, which can be described by the fADE. The temperature decline is more gradual when the permeability of surrounding rocks varies spatially than when they have a constant permeability. The fHTE demonstrates good agreement with the temperature profiles for the different permeabilities of surrounding rocks. The retardation parameters in the fADE and the fHTE increase with the permeability of the surrounding rocks. The orders of the temporal fractional derivatives in the fADE and the fHTE vary with the permeability patterns.

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