FDA Express

Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 19 Issue: 3 Pages: 483-493 DOI: 10.1016/j.cnsns.2013.05.022 Published: MAR 2014

Title: Expansion formula for fractional derivatives in variational problems

Author(s): Atanackovic, Teodor M.; Janev, Marko; Konjik, Sanja; et al.

Source: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 409 Issue: 2 Pages: 911-924 DOI: 10.1016/j.jmaa.2013.07.071 Published: JAN 15 2014

Title: Fractional-order derivative and time-dependent viscoelastic behaviour of rocks and minerals

Author(s): Kawada, Yusuke; Yajima, Takahiro; Nagahama, Hiroyuki

Source: ACTA GEOPHYSICA Volume: 61 Issue: 6 Pages: 1690-1702 DOI: 10.2478/s11600-013-0153-x Published: DEC 2013

Title: Inequalities for Integro-differential equations involving derivatives of order between zero and two

Author(s): Al-Jaser, Asma; Furati, Khaled M.

Source: APPLIED MATHEMATICS AND COMPUTATION Volume: 221 Pages: 535-546 DOI: 10.1016/j.amc.2013.06.079 Published: SEP 15 2013

Title: Fractional Fourier Law with Three-Phase Lag of Thermoelasticity

Author(s): Ezzat, Magdy A.; El-Bary, Alaa A.; Fayik, Mohsen A.

Source: MECHANICS OF ADVANCED MATERIALS AND STRUCTURES Volume: 20 Issue: 8 Pages: 593-602 DOI: 10.1080/15376494.2011.643280 Published: SEP 14 2013

Title: Sliding mode synchronization of chaotic and hyperchaotic systems with mismatched fractional derivatives

Author(s): Wang, Zhen; Huang, Xia; Lu, Junwei

Source: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL Volume: 35 Issue: 6 Pages: 713-719 DOI: 10.1177/0142331212468374 Published: AUG 2013

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Call for papers

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Special Issue on "Fractional Calculus and its Applications in Applied Mathematics and other Sciences"

(Contributed by Mona Hassan )

Our upcoming Special Issue on "Fractional Calculus and its Applications in Applied Mathematics and other Sciences" will be published in Mathematical Problems in Engineering in July 2014. You can find the Call-for-Papers for this Special Issue at http://www.hindawi.com/journals/mpe/si/483692/cfp/, and the deadline for submission is February 14, 2014. The Special Issue is open to both original research articles as well as review articles.

Mathematical Problems in Engineering is a peer-reviewed open access journal, which means that all published articles are made freely available online without a subscription, and authors retain the copyright of their work. The most recent Impact Factor for Mathematical Problems in Engineering is 1.383 according to 2012 Journal Citation Reports released by Thomson Reuters (ISI) in 2013.

Please read over the journal's Author Guidelines at http://www.hindawi.com/journals/mpe/guidelines/ for more information on the journal's policies and the submission process. Manuscripts should be submitted to the journal online at http://mts.hindawi.com/submit/journals/mpe/fc/.

If you have any questions about this Special Issue or about the journal, please do not hesitate to contact me.

Mona Hassan
Editorial Office
Mathematical Problems in Engineering
Hindawi Publishing Corporation
http://www.hindawi.com

　

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Books

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Stochastic Foundations in Movement Ecology: Anomalous Diffusion, Front Propagation and Random Searches

(Springer Series in Synergetics)

Vicenç Méndez , Daniel Campos , Frederic Bartumeus

Book Description

This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies.

Adopting a self-contained, textbook-style approach, the authors provide the elements of statistical physics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicit definition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems.

Including numerous exercises (with solutions), this text is aimed at graduate students and newcomers in this field at the interface of theoretical ecology, mathematical biology and physics.

More information on this book can be found by the following link: http://www.springer.com/physics/complexity/book/978-3-642-39009-8

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Fractional Calculus with Applications in Mechanics (ISTE)

T. Atanackovic, Steven Pilipovic, Bogoljub Stankovic, Dusan Zorica

Book Description

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.

More information on this book can be found by the following link: http://as.wiley.com/WileyCDA/WileyTitle/productCd-1848214170.html

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Journals

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Journal of Applied Nonlinear Dynamics

Volume 2, Issue 1-2

Analytical Maximum Response of a Rigid Spindle-Angular Contact Ball Bearings Assembly Subject to Rotating Unbalance and Base Harmonic Excitations

F.M.A. El-Saeidy

On Dynamics and Control of an Adaptable Wheeled Climbing Robot

A. H. Bazargan, M. Mehrandezh , L. Dai

Vectorial Splitting Rational Lp Inequalities for Integral Operators