FDA Express Vol. 18, No. 2, Feb 15, 2016
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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_No2_2016.pdf
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↑ Latest SCI Journal Papers on FDA
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↑ Call for papers
Fractional Derivatives and Their Applications (FDTA)
Special Session on ※Fractional order systems: theory, design and applications§
Special Session on ※Fractional Order Systems§ in the Workshop SDS 2016 (Italy)
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↑ Books
Computational Methods in the Fractional Calculus of Variations
Fractional Calculus: Models and Numerical Methods
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↑ Journals
Nonlinear Analysis: Real World Applications
International Journal of Non-Linear Mechanics
Progress in Fractional Differentiation and Applications
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↑ Paper Highlight
Fractional characteristic times and dissipated energy in fractional linear viscoelasticity
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↑ 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)
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Advanced Fractional Taylor's formulae
By: Anastassiou, George A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 7 Pages: 1185-1204 Published: DEC 15 2016
Generalized Canavati type Fractional Taylor's formulae
By: Anastassiou, George A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 7 Pages: 1205-1212 Published: DEC 15 2016
Approximating fixed points with applications in fractional calculus
By:Anastassiou, George A.; Argyros, Ioannis K.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 7 Pages: 1225-1242 Published: DEC 15 2016
By: Ntouyas, S. K.; Tariboon, Jessada; Thiramanus, Phollakrit
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 5 Pages: 813-828 Published: NOV 2016
A SHORT NOTE ON INTEGRAL INEQUALITY OF TYPE HERMITE-HADAMARD THROUGH CONVEXITY
By:Iqbal, Muhammad; Qaisar, Shahid; Muddassar, Muhammad
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 5 Pages: 946-953 Published: NOV 2016
On Cauchy problems with Caputo Hadamard fractional derivatives
By:Adjabi, Y.; Jarad, F.; Baleanu, D.; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 4 Pages: 661-681 Published: OCT 2016
A fractional derivative inclusion problem via an integral boundary condition
By:Baleanu, Dumitru; Moghaddam, Mehdi; Mohammadi, Hakimeh; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 3 Pages: 504-514 Published: SEP 2016
On mixed type Rielliann-Liouville and Hadamard fractional integral inequalities
By:Sudsutad, Weerawat; Ntouyas, S. K.; Tariboon, Jessada
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 2 Pages: 299-314 Published: AUG 2016
By:Shao, Yabin; Ma, Weiyuan
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 2 Pages: 369-379 Published: AUG 2016
Fractional differential equations with integral and ordinary-fractional flux boundary conditions
By:Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 21 Issue: 1 Pages: 52-61 Published: JUL 2016
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Call for Papers
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Fractional Derivatives and Their Applications (FDTA)
http://www.mesa2016.org/fractional-derivatives-and-their-applications-fdta/
------at the 12th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications - MESA2016,
------ to be held in Auckland, New Zealand, from August 29th to 31st 2016.
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Objectives:
The Symposium seeks papers solicited in the area of fractional derivatives and their applications. The subjects of the papers may include, but are not limited to:
• mathematical modeling of fractional dynamic systems
• applications of
fractional models to engineering systems in general and mechatronic embedded
systems in particular
• fractional variational principles and its applications
• fractional dynamics
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Organizer＊s Information:
Dumitru Baleanu, Cankaya University, TurkeyJ.A. Tenreiro Machado, Institute of Engineering of Polytechnic of Porto, Portugal
YangQuan Chen, University of California, Merced, USA
Jocelyn Sabatier, Universit谷 Bordeaux1, France
Changpin Li, Shanghai University, China
Blas M. Vinagre, University of Extremadura, Spain
Yan Li, Shandong University, China
Deadlines
March 31, 2016: Full Paper Submission
May 20, 2016: Notification of Acceptance
June 30, 2016: Final Papers Submission
June 30, 2016: Authors Registrations
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Special Session on ※Fractional order systems: theory, design and applications§
------at the 2016 IEEE International Conference on Systems, Man, and Cybernetics to be held in Budapest, Hungary, during October 9-12 2016.
Scope
Fractional-order systems have lately been attracting significant attention and gaining more acceptance as generalizations to classical integer-order systems. Fractional order systems can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. Further steps have been taken and fractional order systems have been applied on real applications in fields such as: mechatronics, process control; biomedical applications; etc. The aim of this special session is to bring together researchers, and not only, to present their latest results, ideas related to the design and/or implementation of fractional order systems with possible utilization in innovative areas.
The aim of this special session is to bring together researchers, and not only, to present their latest results, ideas related to the design and/or implementation of fractional order systems with possible utilization in innovative areas.
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Organizers:
Dr. Eng. Cristina I. Muresan
Technical University of Cluj-Napoca, Department of Automatic Control,
26-28 Gh. Baritiu Str., 400027 Cluj-Napoca, Romania
Cristina. Muresan@aut.utcluj.ro
Dr. Dana Copot
Ghent University, Department of Electrical energy, Systems and Automation
Technologiepark 914, 2nd floor, 9052, Ghent, Belgium
Dana.Copot@UGent.be
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Important Dates:
Abstract submission: February 20, 2016
Paper submission: April 15, 2016
Notification of acceptance: May 25, 2016
Camera-ready papers: July 9, 2016
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Special Session on ※Fractional Order Systems§ in the Workshop SDS 2016 (Italy)
------The next edition of the biennial workshop "Structural Dynamical Systems: Computational Aspects" will take place at the Hotel Villaggio Porto Giardino in Monopoli (Italy) in June 14-17, 2016.
https://sites.google.com/site/workshopsds2016
Scope
The aim of this workshop is to bring together researchers from different areas, in particular Mathematics, Physics and Engineering, to give them the opportunity of discussing, in a friendly atmosphere, recent developments in computational and theoretical methods for Dynamical Systems and their applications.
Due to the great interest of systems with fractional integrals and derivatives, this year the topic of the workshop includes also "Fractional Differential Equations" and a special issues devoted to ※Fractional Order Systems§ will be organized.
For more detailed information it is possible to contact Roberto
Garrappa at the e-mail addresses roberto.garr
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Books
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Computational Methods in the Fractional Calculus of Variations
Ricardo Almeida (University of Aveiro, Portugal), Shakoor Pooseh (Technische Universität Dresden, Germany), Delfim F M Torres (University of Aveiro, Portugal)
Book Description
This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.
The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving as a companion volume to Introduction to the Fractional Calculus of Variations by A B Malinowska and D F M Torres, where analytical methods are presented to solve FCV problems. After some preliminaries on the subject, different techniques are presented in detail with numerous examples to help the reader to better understand the methods. The techniques presented may be used not only to deal with FCV problems but also in other contexts of fractional calculus, such as fractional differential equations and fractional optimal control. It is suitable as an advanced book for graduate students in mathematics, physics and engineering, as well as for researchers interested in fractional calculus.
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More information on this book can be found by the following link:
http://www.worldscientific.com/worldscibooks/10.1142/p991
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Fractional Calculus: Models and Numerical Methods
Dumitru Baleanu (Çankaya University, Turkey & Institute of Space Sciences, Romania), Kai Diethelm (Technische Universität Braunschweig, Germany & GNS mbH, Germany), Enrico Scalas (Universit角 del Piemonte Orientale, Italy & Basque Center for Applied Mathematics, Spain), Juan J Trujillo (University of La Laguna, Spain)
Book Description
The subject of fractional calculus and its applications (that is, http://smc2016.org/016.org/ and derihttp://smc2016.org/016.org/order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives of elementary functions, and so on. This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models. All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.
More information on this book can be found by the following link:
http://www.worldscientific.com/worldscibooks/10.1142/8180
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Journals
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Nonlinear Analysis: Real World Applications
(selected)
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Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian
Bin Ge
The Nehari manifold for a fractional p-Laplacian system involving concave每convex nonlinearities
Wenjing Chen, Shengbing Deng
The effect of vaccines on backward bifurcation in a fractional order HIV model
Jingjing Huo, Hongyong Zhao, Linhe Zhu
Asymptotic symmetries for fractional operators
C. Grumiau, M. Squassina, C. Troestler
Multiple solutions for a class of fractional Schrödinger equations in RN
Kaimin Teng
Xiao-Li Ding, Yao-Lin Jiang
Stability of q-fractional non-autonomous systems
Fahd Jarad, Thabet Abdeljawad, Dumitru Baleanu
Fractional Schrödinger equations with potential and optimal controls
JinRong Wang, Yong Zhou, Wei Wei
Solvability for a coupled system of fractional differential equations at resonance
Weihua Jiang
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International Journal of Non-Linear Mechanics
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Y.M. Chen, Q.X. Liu, J.K. Liu
Ioannis A. Kougioumtzoglou, Pol D. Spanos
Fractional Birkhoffian method for equilibrium stability of dynamical systems
Shao-Kai Luo, Jin-Man He, Yan-Li Xu
A fractional non-linear creep model for coal considering damage effect and experimental validation
Jianhong Kang, Fubao Zhou, Chun Liu, Yingke Liu
Mihailo P. Lazarević
Discrete fractional order system vibrations
K.R. (Stevanović) Hedrih, J.A. Tenreiro Machado
First passage of stochastic fractional derivative systems with power-form restoring force
Wei Li, Lincong Chen, Natasa Trisovic, Aleksandar Cvetkovic, Junfeng Zhao
Abdon Atangana, Dumitru Baleanu
Xiaoling Jin, Yong Wang, Zhilong Huang, Mario Di Paola
Tianzhi Yang, Bo Fang
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Progress in Fractional Differentiation and Applications
Applications of New Time and Spatial Fractional Derivatives with Exponential Kernels
Michele Caputo, Mauro Fabrizio
A Note on the Solution Set of a Fractional Integro- Differential Inclusion
Aurelian Cernea
Exact and Approximate Solutions of Fractional Diffusion Equations with Fractional Reaction Terms,
Olaniyi S. Iyiola
Upper and Lower Solutions to a Coupled System of Nonlinear Fractional Differential Equations
Kamal Shah, Hammad Khalil, Rahmat Ali Khan
An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations
Najeeb Alam Khan, Fatima Riaz, Oyoon Abdul Razzaq
On Fractional Model of an HIV/AIDS with Treatment and Time Delay
Manal M. Hikal, Waheed K. Zahra
Yaghoub Jalilian, Afrasiab Aravandi
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Paper
Highlight
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Fractional characteristic times and dissipated energy in fractional linear viscoelasticity
Natalia Colinas-Armijo, Mario Di Paola, Francesco P. Pinnola
Publication information: Communications in Nonlinear Science and Numerical Simulation, Volume 37, August 2016, Pages 14-30
http://www.sciencedirect.com/science/article/pii/S1007570416000058
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Abstract
In fractional viscoelasticity the stress每strain relation is a differential equation with non-integer operators (derivative or integral). Such constitutive law is able to describe the mechanical behavior of several materials, but when fractional operators appear, the elastic and the viscous contribution are inseparable and the characteristic times (relaxation and retardation time) cannot be defined. This paper aims to provide an approach to separate the elastic and the viscous phase in the fractional stress每strain relation with the aid of an equivalent classical model (Kelvin每Voigt or Maxwell). For such equivalent model the parameters are selected by an optimization procedure. Once the parameters of the equivalent model are defined, characteristic times of fractional viscoelasticity are readily defined as ratio between viscosity and stiffness.
In the numerical applications, three kinds of different excitations are considered, that is, harmonic, periodic, and pseudo-stochastic. It is shown that, for any periodic excitation, the equivalent models have some important features: (i) the dissipated energy per cycle at steady-state coincides with the Staverman每Schwarzl formulation of the fractional model, (ii) the elastic and the viscous coefficients of the equivalent model are strictly related to the storage and the loss modulus, respectively.
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The End of This Issue
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