FDA Express    Vol. 9, No. 2, Oct. 30, 2013

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

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, pangguofei2008@126.com
For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF Download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol9_No2_2013.pdf

◆  Latest SCI Journal Papers on FDA

(Searched on 28th October 2013)

◆  Call for papers

Call for papers: Special Session in Numerical Analysis at ICFDA 2014

◆  Books

Elements of Random Walk and Diffusion Processes

Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis

◆  Journals

Special Issue of The European Physical Journal Special Topics on Dynamics of Fractional Partial Differential Equations

Fractional Calculus and Applied Analysis

◆  Paper Highlight

Universal fractional map and cascade of bifurcations type attractors

Solution set for fractional differential equations with Riemann-Liouville derivative

◆  Websites of Interest

Fractional Calculus & Applied Analysis

International Conference on Fractional Differentiation and Its Applications (ICFDA'14)

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 Latest SCI Journal Papers on FDA

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(Searched on 28th October 2013)

Title: Fractional differential equations and related exact mechanical models
Author(s): Di Paola, Mario; Pinnola, Francesco Paolo; Zingales, Massimiliano
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 66 Issue: 5 Pages: 608-620 DOI: 10.1016/j.camwa.2013.03.012 Published: SEP 2013

Title: Fractional-order (PID mu)-D-lambda controller design
Author(s): El-Khazali, Reyad
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 66 Issue: 5 Pages: 639-646 DOI: 10.1016/j.camwa.2013.02.015 Published: SEP 2013

Title: Fractional Sturm-Liouville problem
Author(s): Klimek, M.; Agrawal, O. P.
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 66 Issue: 5 Pages: 795-812 DOI: 10.1016/j.camwa.2012.12.011 Published: SEP 2013

Title: Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach
Author(s): Lazaro, Mario; Perez-aparicio, Jose L.
Source: ENGINEERING STRUCTURES Volume: 54 Pages: 69-81 DOI: 10.1016/j.engstruct.2013.03.052 Published: SEP 2013

Title: On a fractional differential inclusion with integral boundary conditions in Banach space
Author(s): Phan Dinh Phung; Le Xuan Truong
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 16 Issue: 3 Pages: 538-558 DOI: 10.2478/s13540-013-0035-6 Published: SEP 2013

Title: Existence of positive solutions to a higher order singular boundary value problem with fractional q-derivatives
Author(s): Graef, John R.; Kong, Lingju
Source: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 16 Issue: 3 Pages: 695-708 DOI: 10.2478/s13540-013-0044-5 Published: SEP 2013

Title: Existence results for coupled systems of quadratic integral equations of fractional orders
Author(s): El-Sayed, A. M. A.; Hashem, H. H. G.
Source: OPTIMIZATION LETTERS Volume: 7 Issue: 6 Pages: 1251-1260 DOI: 10.1007/s11590-012-0501-9 Published: AUG 2013

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Call for papers

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Call for papers: Special Session in Numerical Analysis at ICFDA 2014, Catania June 23-25, 2014

(Contributed by Prof. Roberto Garrappa)

A special session dedicated to numerical aspects is organized. The aim of this session, titled "Innovative methods for differential equations of fractional order", is to discuss and stimulate innovative ideas in the numerical treatment of fractional order problems and encourage their spread into other applicative fields. The topic of the session includes also the numerical treatment of partial differential equations with time-fractional and/or space-fractional derivatives.

The deadline for abstract submission is December 1st, 2013. Please, visit the conference web page http://www.icfda14.dieei.unict.it/ for further information.

If you intend to present a talk in this session, please contact me at one of the following e-mail addresses roberto.garrappa@uniba.it or r.garrappa@gmail.com, where answers to specific questions can also be requested.

Thank you for your interest in this session.

----------------------
Roberto Garrappa
Researcher in Numerical Analysis
Department of Mathematics
University of Bari "Aldo Moro"
Via Orabona n. 4 - 70125 Bari - Italy
Tel. +39.080.544.2685
E-mail : roberto.garrappa@uniba.it  or r.garrappa@gmail.com
Web: http://www.dm.uniba.it/Members/garrappa
　

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Books

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Elements of Random Walk and Diffusion Processes

(Wiley Series in Operations Research and Management Science)

Oliver C. Ibe

Book Description

Random walk is a stochastic process that has proven to be a useful model in understanding discrete-state discrete-time processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics.

Featuring an introduction to powerful and general techniques that are used in the application of physical and dynamic processes, the book presents the connections between diffusion equations and random motion. Standard methods and applications of Brownian motion are addressed in addition to Levy motion, which has become popular in random searches in a variety of fields. The book also covers fractional calculus and introduces percolation theory and its relationship to diffusion processes.

With a strong emphasis on the relationship between random walk theory and diffusion processes, Elements of Random Walk and Diffusion Processes features:

• Basic concepts in probability, an overview of stochastic and fractional processes, and elements of graph theory

• Numerous practical applications of random walk across various disciplines, including how to model stock prices and gambling, describe the statistical properties of genetic drift, and simplify the random movement of molecules in liquids and gases

• Examples of the real-world applicability of random walk such as node movement and node failure in wireless networking, the size of the Web in computer science, and polymers in physics

• Plentiful examples and exercises throughout that illustrate the solution of many practical problems

Elements of Random Walk and Diffusion Processes is an ideal reference for researchers and professionals involved in operations research, economics, engineering, mathematics, and physics. The book is also an excellent textbook for upper-undergraduate and graduate level courses in probability and stochastic processes, stochastic models, random motion and Brownian theory, random walk theory, and diffusion process techniques.

More information on this book can be found by the following link: http://as.wiley.com/WileyCDA/WileyTitle/productCd-1118618092.html

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Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis

(Problem Books in Mathematics)

Ovidiu Furdui

Book Description

This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.

More information on this book can be found by the following link: http://www.springer.com/mathematics/analysis/book/978-1-4614-6761-8

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 Journals

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Special Issue of The European Physical Journal Special Topics on Dynamics of Fractional Partial Differential Equations

Volume 222, Issue 8, September 2013

(Contributed by Yong Zhou)

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Paper Highlight

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Universal fractional map and cascade of bifurcations type attractors

M. Edelman

Publication information: M. Edelman. Universal fractional map and cascade of bifurcations type attractors. Chaos 23, 033127 (2013).
http://dx.doi.org/10.1063/1.4819165

Abstract
We modified the way in which the Universal Map is obtained in the regular dynamics to derive the Universal α-Family of Maps depending on a single parameter α>0, which is the order of the fractional derivative in the nonlinear fractional differential equation describing a system experiencing periodic kicks. We consider two particular α-families corresponding to the Standard and Logistic Maps. For fractional α<2 in the area of parameter values of the transition through the period doubling cascade of bifurcations from regular to chaotic motion in regular dynamics corresponding fractional systems demonstrate a new type of attractors—cascade of bifurcations type trajectories.
　

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