FDA Express    Vol. 6, No. 2, Jan. 30, 2013

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

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, hushuaihhu@gmail.com
For subscription: http://em.hhu.edu.cn/fda/subscription.htm

◆  Call for Paper

Special Issue on "Dynamical Systems" in the journal “Entropy (ISSN 1099-4300)”

Special Issue on Analytical and Numerical Methods for Fractional Differential Equations in the journal “Discrete Dynamics in Nature and Society”

◆  Books

Mathematical Modeling with Multidisciplinary Applications

◆  Journals

Communications in Nonlinear Science and Numerical Simulation

Chaos

International Journal of Bifurcation and Chaos

◆  Paper Highlight
Local fractional Fokker-Planck equation
On calculus of local fractional derivatives

Anomalous diffusion modeling by fractal and fractional derivatives

◆  Websites of Interest

Fractional Calculus & Applied Analysis, Volume 16, No 1, 2013

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Call for Paper

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Special Issue on "Dynamical Systems" in the journal “Entropy (ISSN 1099-4300)”

(Contributed by Prof. J. A. Tenreiro Machado)
http://www.mdpi.com/journal/entropy/special_issues/dynamical_systems

Call for Papers

Complex systems are pervasive in many area of science and we find them everyday and everywhere. Examples include financial markets, highway transportation networks, telecommunication networks, world and country economies, social networks, immunological systems, living organisms, computational systems and electrical and mechanical structures. Complex systems are often composed of large number of interconnected and interacting entities exhibiting much richer global scale dynamics than they could be inferred from the properties and behaviour of individual entities. Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematical sciences.
The special issue focuses on original and new research results on systems dynamics in science and engineering. Manuscripts in complex dynamical systems, nonlinearity, chaos and fractional dynamics in the thermodynamics or information processing perspectives are solicited. We welcome submissions addressing novel issues as well as those on more specific topics illustrating the broad impact of entropy-based techniques in complexity, nonlinearity and fractionality.

Specific topics of interest include (but are not limited to):
- Complex dynamics
- Nonlinear dynamical systems
- Advanced control systems
- Fractional calculus and its applications
- Chemical dynamics
- Economical dynamics and predictions
- Dynamical systems synchronization
- Biological systems and bioinformatics
- Nonlinear waves and acoustics
- Image and signal processing

Guest Editor: J. A. Tenreiro Machado

Submission
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts are available on the Instructions for Authors page. Entropy is an international peer-reviewed Open Access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs).

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Special Issue on Analytical and Numerical Methods for Fractional Differential Equations
In the journal “Discrete Dynamics in Nature and Society”

(Contributed by Prof. Ferhan M. Atici)

http://mts.hindawi.com/submit/journals/ddns/anmfd/

The origin of derivatives of fractional order goes back to Leibnitz (1695) when he replied to a letter from L'Hopital asking "what is the meaning of dny/dxn when n =1/2?". Since then many renowned mathematicians contributed to the development of the theory of Fractional Calculus, which should be understood as the study of differential equations depending on derivatives of arbitrary order. Nowadays this theory is no longer regarded as a mathematical curiosity. Perhaps the main reason for that is the fact that many researchers started to model real-world phenomena using fractional derivatives, mainly, problems that have memory.
The difficulty that one faces when trying to solve differential equations explicitly is well known. Unfortunately things do not get better when we use fractional derivatives instead of classical derivatives on an equation. Moreover, the nonlocal character of fractional derivatives imposes new challenges for numerical analysts working within this field.
We invite scientists to contribute original research articles that seek to explore differential or difference equations of fractional order. Equations that can be applied to some real world problems are particularly welcome. Potential topics include, but are not limited to:
• Existence and uniqueness results for fractional differential/difference equations
• Qualitative properties for solutions of fractional differential/difference equations
• Modeling with discrete or continuous fractional derivatives
• Numerical methods for ordinary or partial fractional differential equations

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ddns/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journalManuscript Tracking System at http://mts.hindawi.com/submit/journals/ddns/anmfd/ according to the following timetable:
Manuscript Due: Friday, 7 June 2013
First Round of Reviews: Friday, 30 August 2013
Publication Date: Friday, 25 October 2013

Lead Guest Editor
Rui A. C. Ferreira, Department of Mathematics, Lusophone University of Humanities and Technologies, Lisbon, Portugal; ruiacferreira@ulusofona.pt

Guest Editors
Pedro R. S. Antunes, Department of Mathematics, Lusophone University of Humanities and Technologies, Lisbon, Portugal; pant@cii.fc.ul.pt
Ferhan Atici, Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA; ferhan.atici@wku.edu
Cecile Piret, Applied Mechanics Division, Université Catholique de Louvain, Louvain, Belgium; cecile.piret@uclouvain.be

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Mathematical Modeling with Multidisciplinary Applications

Xin-She Yang

Book Description

Features mathematical modeling techniques and real-world processes with applications in diverse fields. Mathematical Modeling with Multidisciplinary Applications details the interdisciplinary nature of mathematical modeling and numerical algorithms. The book combines a variety of applications from diverse fields to illustrate how the methods can be used to model physical processes, design new products, find solutions to challenging problems, and increase competitiveness in international markets.

Written by leading scholars and international experts in the field, the book presents new and emerging topics in areas including finance and economics, theoretical and applied mathematics, engineering and machine learning, physics, chemistry, ecology, and social science. In addition, the book thoroughly summarizes widely used mathematical and numerical methods in mathematical modeling and features:

• Diverse topics such as partial differential equations (PDEs), fractional calculus, inverse problems by ordinary differential equations (ODEs), semigroups, decision theory, risk analysis, Bayesian estimation, nonlinear PDEs in financial engineering, perturbation analysis, and dynamic system modeling
• Case studies and real-world applications that are widely used for current mathematical modeling courses, such as the green house effect and Stokes flow estimation
• Comprehensive coverage of a wide range of contemporary topics, such as game theory, statistical models, and analytical solutions to numerical methods
• Examples, exercises with select solutions, and detailed references to the latest literature to solidify comprehensive learning
• New techniques and applications with balanced coverage of PDEs, discrete models, statistics, fractional calculus, and more

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