FDA Express

FDA Express    Vol. 18, No. 1, Jan 15, 2016

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: heixindong@hhu.edu.cn, pangguofei2008@126.com

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

PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol18_No1_2016.pdf


↑  Latest SCI Journal Papers on FDA

(Searched on January 15, 2016)

  Call for papers

The next NSC16-6th Conference on Nonlinear Science and Complexity

8th Conference on Non-integer Order Calculus and its Applications (RRNR 2016)

↑  Books

Fractional Evolution Equations and Inclusions: Analysis and Control

Fractional Kinetics in Solids

↑  Journals

Computers & Structures

Applied Mathematical Modelling

  Paper Highlight

A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction

  Websites of Interest

Fractional Calculus & Applied Analysis

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 Latest SCI Journal Papers on FDA

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(Searched on January 15, 2016)



Analysis of radial composite systems based on fractal theory and fractional calculus

By: Kambiz Razminia, Abolhassan Razminia, Juan J. Trujilo

Signal Processing, Volume 107, February 2015, Pages 378-388


Dynamic analysis of time fractional order phytoplankton每toxic phytoplankton每zooplankton system

By: Mohammad Javidi, Bashir Ahmad

Ecological Modelling, Volume 318, 24 December 2015, Pages 8-18


Laminar flow through fractal porous materials: the fractional-order transport equation

By:Gianluca Alaimo, Massimiliano Zingales

Communications in Nonlinear Science and Numerical Simulation, Volume 22, Issues 1每3, May 2015, Pages 889-902


Investigation of cumulative growth process via Fibonacci method and fractional calculus

By: F. Buyukkilic, Z. Ok Bayrakdar, D. Demirhan

Applied Mathematics and Computation, Volume 265, 15 August 2015, Pages 237-244

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

By: Mihailo P. Lazarević

International Journal of Non-Linear Mechanics, Volume 73, July 2015, Pages 31-42


Investigation of the fractional diffusion equation based on generalized integral quadrature technique

By: Kambiz Razminia, Abolhassan Razminia, Dumitru Baleanu

Applied Mathematical Modelling, Volume 39, Issue 1, 1 January 2015, Pages 86-98


Existence of mild solution for evolution equation with Hilfer fractional derivative

By: Haibo Gu, Juan J. Trujillo

Applied Mathematics and Computation, Volume 257, 15 April 2015, Pages 344-354


Analysis of diffusion process in fractured reservoirs using fractional derivative approach

By: Kambiz Razminia, Abolhassan Razminia, J.A. Tenreiro Machado

Communications in Nonlinear Science and Numerical Simulation, Volume 19, Issue 9, September 2014, Pages 3161-3170


Fractional zero-phase filtering based on the Riemann每Liouville integral

By:  Jianhong Wang, Yongqiang Ye, Xiang Pan, Xudong Gao, Chao Zhuang

Signal Processing, Volume 98, May 2014, Pages 150-157


Control of a novel chaotic fractional order system using a state feedback technique

By: Abolhassan Razminia, Delfim F.M. Torres

Mechatronics, Volume 23, Issue 7, October 2013, Pages 755-763

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Call for Papers

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The next NSC16-6th Conference on Nonlinear Science and Complexity

------will be held by May 16-20, Brazil

http://www.inpe.br/nsc2016/en/submissions.php

 

Within this conference J. A. Tenreiro Machado, Dumitru Baleanu, and Mark Edelman, are organizing a "Symposium on Fractional Calculus Applications".

Contacts:

J. A. Tenreiro Machado
Institute of Engineering, Polytechnic of Porto
Dept. of Electrical Engineering
Rua Dr. Antonio Bernardino de Almeida, 431
4249-015 Porto, Portugal
Tel: 351-22-8340500, ext: 1139, Fax: 351-22-8321159
Email: jtenreiromachado@gmail.com
URL: http://ave.dee.isep.ipp.pt/~jtm/

Deadlines

Minisymposium Proposal: January 30th, 2016

Minisymposium Acceptance: February 5th, 2016

Abstract submissions for contributive oral and poster sessions: February 19th, 2016

Notification of Acceptance for contributive submissions: February 26th, 2016

Contributive full-paper submission for oral and poster sessions: March 18th, 2016

Full-paper final version for oral and poster sessions: April 18th, 2016

Conference date: May 16-20, 2016

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8th Conference on Non-integer Order Calculus and its Applications (RRNR 2016)

------will be held in Zakopane, Poland during September 20-21, 2016.

http://www.rrnr.aei.polsl.pl//

Scope

The scope of the conference includes, but is not limited to, the following topics:

        mathematical preliminaries of non-integer order systems,

        continuous-time non-integer order systems,

        discrete-time non-integer order systems,

        stability, controllability, observability of non-integer order systems,

        identification of non-integer order system,

        control of non-integer order systems,

        applications of non-integer order systems.

Publication:

After a careful reviewing process, all accepted papers after proper registration and presentation, will be published in the conference Proceedings by Springer as book chapters in a book series of Lecture Notes in Electrical Engineering. Note that LNEE is indexed by: ISI Conference Proceedings Citation Index (Thomson Reuters), EI-Compendex, SCOPUS, MetaPress, Springerlink.

Fee

The RRNR Conference itself is free of charge. The participants cover the cost of travel and accommodation.

Important Dates:

Paper Submission (Full Paper): April 01, 2016

Notification Date: May 15, 2016

Author*s Registration: June 05, 2016

Camera Ready: June 05, 2016

Conference Date: September 20-21, 2016

Submission

Papers (in English) should not exceed 10 pages and be prepared according to the submission instruction provided at the conference website, LaTeX is preferred, MS Word is accepted. Papers will be submitted electronically using the EasyChair submission system. For details please visit: http://rrnr.aei.polsl.pl/index.php?id=submission

Conference Program Committee

Prof. Tadeusz Kaczorek (PL) - Chairman

Prof. Adam Czornik (PL) - Co-Chairman

Prof. Jerzy Klamka (PL) - Co-Chairman

Prof. Krishnan Balachandran (IND)

Prof. Dumitru Baleanu (RO)

Prof. Stefan Domek (PL)

Prof. Andrzej Dzieli里ski (PL)

Prof. Małgorzata Klimek (PL)

Prof. Krzysztof J. Latawiec (PL)

Prof. Tenreiro Machado (PT)

Prof. Wojciech Mitkowski (PL)

Prof. Dorota Mozyrska (PL)

Prof. Krzysztof Oprzędkiewicz (PL)

Prof. Ewa Pawłuszewicz (PL)

Prof. Ivo Petras (SK)

Prof. Igor Podlubny (SK)

Prof. Dominik Sierociuk (PL)

Prof. Andrzej Świerniak (PL)

Prof. Blas Vinagre (ES)

Conference Venue

Kolejarz Hotel

Tadeusza Kościuszki 23,

34-500 Zakopane, Poland

tel.: (+48)182015973, (+48)182015468

http://www.kolejarz.wzakopanem.pl/3462,start.html

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Books

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Fractional Evolution Equations and Inclusions: Analysis and Control

Yong Zhou

Book Description

Fractional evolution equations provide a unifying framework in order to investigate well-posedness of complex systems of various types describing the time evolution of concrete systems (such as time-fractional diffusion equations). Fractional evolution inclusions are a kind of important differential inclusions describing the processes behaving in a much more complex way on time, which appear as a generalization of fractional evolution equations through the application of multivalued analysis. This monograph is devoted to a rapidly developing area of the research for fractional evolution equations and inclusions and their applications to control theory.

The materials in this monograph are based on the research work carried out by author and his collaborators during the past four years. The contents are very new and comprehensive. In particular, this monograph focuses on the existence theory and topological structure of solution sets for fractional evolution inclusions and control systems. It is self-contained and unified in presentation, and provides readers the necessary background material required to go further into the subject and explore the rich research literature. Each chapter concludes with a section devoted to notes and bibliographical remarks and all abstract results are illustrated by examples. This monograph is useful to researchers and graduate students in pure and applied mathematics, physics, mechanics and related disciplines.

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

https://www.elsevier.com/books/fractional-evolution-equations-and-inclusions/unknown/978-0-12-804277-9

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Fractional Kinetics in Solids

Vladimir Uchaikin (Ulyanovsk State University, Russia), Renat Sibatov (Ulyanovsk State University, Russia)

Book Description

In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher每Montroll and Arkhipov每Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described. The relationship between fractional transport equations and the generalized limit theorem reveals the probabilistic aspects of the phenomenon in which a dispersive to Gaussian transport transition occurs in a time-of-flight experiment as the applied voltage is decreased and/or the sample thickness increased. Recent experiments devoted to studies of transport in quantum dot arrays are discussed in the framework of dispersive transport models. The memory phenomena in systems under consideration are discussed in the analysis of fractional equations.

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

http://www.worldscientific.com/worldscibooks/10.1142/81851

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 Journals

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Computers & Structures

(selected)

Finite element method on fractional visco-elastic frames

Mario Di Paola, G. Fileccia Scimemi

Identification of the parameters of the Kelvin每Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers

R. Lewandowski, B. Chorążyczewski

Fractional polynomial mod traps for optimization of jerk and hertzian contact stress in cam surface

Sanjib Acharyya, Tarun Kanti Naskar

A general solution for a fourth-order fractional diffusion每wave equation defined in a bounded domain

Om P. Agrawal

Numerical application of fractional derivative model constitutive relations for viscoelastic materials

L.B. Eldred, W.P. Baker, A.N. Palazotto

Design sensitivity analysis of structures with viscoelastic dampers

Roman Lewandowski, Magdalena Łasecka-Plura

Uncertainty propagation analysis in laminated structures with viscoelastic core

W.P. Hern芍ndez, D.A. Castello, T.G. Ritto

Parametric bifurcation of a viscoelastic column subject to axial harmonic force and time-delayed control

A.Y.T. Leung, H.X. Yang, J.Y. Chen

Steady state response of fractionally damped nonlinear viscoelastic arches by residue harmonic homotopy

A.Y.T. Leung, H.X. Yang, P. Zhu, Z.J. Guo

The continuation method for the eigenvalue problem of structures with viscoelastic dampers

Zdzisław Pawlak, Roman Lewandowski

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Applied Mathematical Modelling

(selected)

An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics

Yu Zhang, Xiao-Jun Yang

Stability and dynamics of a fractional order Leslie每Gower prey每predator model

R. Khoshsiar Ghaziani, J. Alidousti, A. Bayati Eshkaftaki

Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations

A.H. Bhrawy, M.A. Zaky

The M邦ntz-Legendre Tau method for fractional differential equations

P. Mokhtary, F. Ghoreishi, H.M. Srivastava

Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen每Cahn model

Shuying Zhai, Zhifeng Weng, Xinlong Feng

Fractional description of time-dependent mechanical property evolution in materials with strain softening behavior

Ruifan Meng, Deshun Yin, Chao Zhou, Hao Wu

A high-order spectral method for the multi-term time-fractional diffusion equations

M. Zheng, F. Liu, V. Anh, I. Turner

Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

Mansur I. Ismailov, Muhammed Çiçek

A novel fractional grey system model and its application

Shuhua Mao, Mingyun Gao, Xinping Xiao, Min Zhu

An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty

Reza Behinfaraz, Mohammadali Badamchizadeh, Amir Rikhtegar Ghiasi

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 Paper Highlight
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A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction

Wen Chen, Guofei Pang

Publication information: Journal of Computational Physics.Volume 309, 15 March 2016, Pages 350每367

http://www.sciencedirect.com/science/article/pii/S0021999116000048

Abstract

This paper proposes a new implicit definition of the fractional Laplacian. Compared with the existing explicit definitions in literature, this novel definition has clear physical significance and is mathematically simple and numerically easy to calculate for multidimensional problems. In stark contrast to a quick increasing and extensive applications of time-fractional derivative to diverse scientific and engineering problems, little has been reported on space-fractional derivative modeling. This is largely because the existing definitions are only feasible for one-dimensional case and become mathematically too complicated and computationally very expensive when applied to higher dimensional cases. In this study, we apply the newly-defined fractional Laplacian for modeling the power law behaviors of three-dimensional nonlocal heat conduction. The singular boundary method (SBM), a recent boundary-only collocation discretization method, is employed to numerically solve the proposed fractional Laplacian heat equation. And the computational costs are observed moderate owing to the proposed new definition of fractional Laplacian and the boundary-only discretization, meshfree, and integration-free natures of the SBM technique. Numerical experiments show the validity of the proposed definition of fractional Laplacian.

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