FDA Express Vol. 19, No.3, June 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_Vol19_No3_2016.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for papers
Special Session entitled: "Advances in Fractional Calculus. Theory and Applications"
◆ Invitation for Contribution
◆ Books
Intelligent Numerical Methods: Applications to Fractional Calculus
◆ Journals
Journal of Mathematical Analysis and Applications
Communications in Nonlinear Science and Numerical Simulation
◆ Paper Highlight
A causal fractional derivative model for acoustic wave propagation in lossy media
◆ News
New impact factor on Fractional Calculus & Applied Analysis
◆ Websites of Interest
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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On The Generalized Mass Transfer with a Chemical Reaction: Fractional Derivative Model
By: Ansari, Alireza; Darani, Mohammadreza Ahmadi
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 7 Issue: 1 Pages: 77-88 Published: WIN-SPR 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
By: Pinnola, Francesco Paolo
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 39 Pages: 343-359 Published: OCT 2016
By: Mvogo, Alain; Tambue, Antoine; Ben-Bolie, Germain H.; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 39 Pages: 396-410 Published: OCT 2016
Indirect model reference adaptive control for a class of fractional order systems
By: Chen, Yuquan; Wei, Yiheng; Liang, Shu; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 39 Pages: 458-471 Published: OCT 2016
By: Liang, Yingjie; Ye, Allen Q.; Chen, Wen; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 39 Pages: 529-537 Published: OCT 2016
By: Chen, Hu; Lu, Shujuan; Chen, Wenping
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 304 Pages: 43-56 Published: OCT 1 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
Grunwald-Letnikov operators for fractional relaxation in Havriliak-Negami models
By: Garrappa, Roberto
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 38 Pages: 178-191 Published: SEP 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
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Call for Papers
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Special Session entitled: "Advances in Fractional Calculus. Theory and Applications"
http://nas.isep.pw.edu.pl/fractional
------to be hold during the 20th Word Congress of the International Federation of Automatic Control (IFAC 2017) in Toulouse, France, July 9-14, 2017.
Objectives:
In the last couple of decades, fractional calculus had played a very important role in various fields such as: physics, chemistry, mechanics, electricity, biology, economy and control theory. Moreover, it has been found that the dynamical behavior of many complex systems can be properly described by fractional order models. Such tool has been extensively applied in many fields which has seen an overwhelming growth in the last decade. The special session is intended to review new developments based on the fractional differentiation, both on theoretical and application aspects. This special session is a place for researchers and practitioners sharing ideas on the theories, applications, numerical methods and simulations of fractional calculus and fractional differential equations. Our interested topics are enumerated in the below and submissions in the relevant fields are welcome. The topics of interest include, but are not limited to:
• numerical and analytical solutions to fractional order systems;
• new implementation methods;
• improvements in fractional order derivatives approximation methods;
• time response analysis of fractional order systems;
• the analysis, modeling and control of phenomena in:
– electrical engineering; – electromagnetism; – electrochemistry; – thermal engineering; – mechanics; – mechatronics; – automatic control; – biology; – biophysics; – physics, etc.
Organizer's Information:
Cristina I. Muresan, PhD Eng.Technical University of Cluj-Napoca, Faculty
of Automation and Computer Science,
Dept. of Automation,
Memorandumului Street, no 28, 400114
Cluj-Napoca, Romania
Email: Cristina.Muresan@aut.utcluj.ro
Konrad A. Markowski, Phd Eng.
Warsaw University of Technology, Faculty
of Electrical Engineering, Institute of Control
and Industrial Electronics,
Koszykowa 75, 00-662 Warsaw, Poland,
E-mail:
Konrad.Markowski@ee.pw.edu.pl
Dana Copot, Phd
Ghent University, Department of Electrical
energy, Systems and Automation Dynamical
Systems and Control Research Group
Technologiepark 914, 2nd floor, 9052,
Ghent, Belgium
E-mail: Dana.Copot@ugent.be
Deadlines
Paper submission: 31 October 2016
Notification of acceptance: 20 February 2017
Final paper submission deadline: 31 March 2017
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Invitation for Contribution
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http://www.icfda16.com/public/documents/RoundTable1.pdf .
------to be held at the International Conference on Fractional Differentiation and its Applications, Novi Sad, Serbia, July 18 - 20, 2016
http://www.icfda16.com/public/
This discussion is inspired from the famous Gauguin painting (created in his
Tahiti period), and is a natural continuation of the previous discussion
“Fractional Calculus: Quo Vadimus? (Where are we going?) from ICFDA 14 (Catania,
convenor: F. Mainardi), see notes published in FCAA (http://www.degruyter.com/view/j/fca.2015.18.issue-2/fca-2015-0031/fca-2015-0031.xml?format=INT).
The idea is to continue the tradition of FDA Open Problems sessions, but
shifting the focus on the trends of recent development of Fractional Calculus,
its problems and perspectives. From a (strange) theoretical extension of the
classical calculus, Fractional Calculus as a tool of mathematical modeling
produced a phenomenon of a real boom. But where are we going next?
The Organizers of the RT will select suitable contributions to be presented. The
slides of the presentations should be prepared and sent in advance, by e-mail to
J.A.T Machado: jtenreiromachado@gmail.com
For the FCAA Editors, we can make exceptions and invite you to contribute your comments for the discussion, even if you cannot participate in the conference. Sending your slides for this RT in advance, the organizers could present them.
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Books
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Intelligent Numerical Methods: Applications to Fractional Calculus
George A. Anastassiou, Ioannis K. Argyros
Book Description
It is a well-known fact that there exist functions that have nowhere first order derivative, but possess continuous Riemann-Liouville and Caputo fractional derivatives of all orders less than one, e.g., the famous Weierstrass function. This striking phenomenon motivated the authors to study Newton-like and other similar numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also nondifferentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.
In this monograph we present the complete recent work of the past three years of the authors on Numerical Analysis and Fractional Calculus. It is the natural outgrowth of their related publications. Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The topics covered are from A to Z of this research area, all studied for the first time by the authors.
More information on this book can be found by the following link:
http://link.springer.com/book/10.1007/978-3-319-26721-0
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Christopher Goodrich, Allan C. Peterson
Book Description
The continuous fractional calculus has a long history within the broad area of mathematical analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception, it can be traced back to a question L’Hôpital had asked Leibniz in 1695 regarding the meaning of a one-half derivative; it was not until the 1800s that a firm theoretical foundation for the fractional calculus was provided. Nowadays the fractional calculus is studied both for its theoretical interest as well as its use in applications.
In spite of the existence of a substantial mathematical theory of the continuous fractional calculus, there was really no substantive parallel development of a discrete fractional calculus until very recently. Within the past five to seven years however, there has been a surge of interest in developing a discrete fractional calculus. This development has demonstrated that discrete fractional calculus has a number of unexpected difficulties and technical complications.
In this text we provide the first comprehensive treatment of the discrete fractional calculus with up-to-date references. We believe that students who are interested in learning about discrete fractional calculus will find this text to be a useful starting point. Moreover, experienced researchers, who wish to have an up-to-date reference for both discrete fractional calculus and on many related topics of current interest, will find this text instrumental.
Furthermore, we present this material in a particularly novel way since we simultaneously treat the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). Thus, the spirit of this text is quite modern so that the reader can not only acquire a solid foundation in the classical topics of the discrete calculus, but is also introduced to the exciting recent developments that bring them to the frontiers of the subject. This dual approach should be very useful for a variety of readers with a diverse set of backgrounds and interests.
More information on this book can be found by the following link:
http://link.springer.com/book/10.1007/978-3-319-25562-0
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Journals
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Journal of Mathematical Analysis and Applications
(selected)
Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
Qiuli Jia, Huibin Wu, Fengxiang Mei
Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity
Zhijian Yang, Pengyan Ding, Lei Li
Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation
Johannes Eilinghoff, Roland Schnaubelt, Katharina Schratz
Sabrina D. Roscani
Critical fractional p-Laplacian problems with possibly vanishing potentials
Kanishka Perera, Marco Squassina, Yang Yang
A nonlinear Liouville theorem for fractional equations in the Heisenberg group
Eleonora Cinti, Jinggang Tan
The density of the solution to the stochastic transport equation with fractional noise
Christian Olivera, Ciprian A. Tudor
A generalisation of the fractional Brownian field based on non-Euclidean norms
Ilya Molchanov, Kostiantyn Ralchenko
Stochastic solution of fractional Fokker–Planck equations with space–time-dependent coefficients
Erkan Nane, Yinan Ni
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Communications in Nonlinear Science and Numerical Simulation
Yongge Yang, Wei Xu, Yahui Sun, Yanwen Xiao
R. Sahadevan, P. Prakash
Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay
Xiang-Hua Zhai, Yi Zhang
Ravi Agarwal, D. O’Regan, S. Hristova, M. Cicek
Symmetry classification of time-fractional diffusion equation
I. Naeem, M.D. Khan
Fourier spectral method for higher order space fractional reaction–diffusion equations
Edson Pindza, Kolade M. Owolabi
Cheng-shi Liu
Lie group analysis and similarity solution for fractional Blasius flow
Mingyang Pan, Liancun Zheng, Fawang Liu, Xinxin Zhang
Francesco Paolo Pinnola
Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system
J.H. Yang, Miguel A.F. Sanjuán, H.G. Liu, G. Litak, X. Li
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Paper
Highlight
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A causal fractional derivative model for acoustic wave propagation in lossy media
Chen, Wen; Hu, Shuai; Cai, Wei
Publication information: ARCHIVE OF APPLIED MECHANICS Volume: 86 Issue: 3 Pages: 529-539 Published: MAR 2016
http://link.springer.com/article/10.1007%2Fs00419-015-1043-2
Abstract
This study proposes a dissipative acoustic equation in time-space domain including fractional derivative to describe the characteristic impedance and the propagation coefficient, which has been observed in an experimental study on the fibrous absorbent materials by Delany and Bazley. The parameters of characteristic impendence are obtained by fitting experimental data. The present fractional derivative model can be deduced by characteristic impendence, continuity equation, and state equation, of which the fractional order possesses clear physical meaning of the acoustical properties for porous materials. The attenuation and dispersion functions of the present model obey the Kramers–Kronig relation and agree well with the experimental results, where the fractional order is found to be 0.63 via data fitting. Finally, the proposed model is applied to normal incidence energy absorption aiming at investigating the effect of fractional order on the absorption coefficient with respect to the wave frequency. According to the power-law dissipative relationship, the fractional order in the present wave model ranges from 0 to 1.
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F Sabzikar，MM Meerschaert，J Chen
Publication information: JOURNAL OF COMPUTATIONAL PHYSICS Volume: 293 Special Issue: SI Pages: 14-28 Published: JUL 15 2015
http://www.sciencedirect.com/science/article/pii/S0021999114002873
Abstract
Fractional derivatives and integrals are convolutions with a power law. Multiplying by an exponential factor leads to tempered fractional derivatives and integrals. Tempered fractional diffusion equations, where the usual second derivative in space is replaced by a tempered fractional derivative, govern the limits of random walk models with an exponentially tempered power law jump distribution. The limiting tempered stable probability densities exhibit semi-heavy tails, which are commonly observed in finance. Tempered power law waiting times lead to tempered fractional time derivatives, which have proven useful in geophysics. The tempered fractional derivative or integral of a Brownian motion, called a tempered fractional Brownian motion, can exhibit semi-long range dependence. The increments of this process, called tempered fractional Gaussian noise, provide a useful new stochastic model for wind speed data. A tempered fractional difference forms the basis for numerical methods to solve tempered fractional diffusion equations, and it also provides a useful new correlation model in time series.
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News
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New impact factor on Fractional Calculus & Applied Analysis
1) The new issue No 3 of Vol. 19 (June 2016) was sent to Publishers DG about 2 weeks ago, so we expect its online version should appear very soon at http://www.degruyter.com/view/j/fca.
2) The IMPACT FACTORS by Thomson Reuters and IMPACT RANGS by Scopus for 2015 have appeared, this year little earlier (released 13.06.).
According to JCR, JIF (2015) = 2.246, while we had earlier JIF (2014) = 2.245 but JIF (2013) = 2.974. The positive change now is very small but at least FCAA returned in Top 10. It is written also on the website, as:
IMPACT FACTOR increased in 2015: 2.246 Rank 10 out of 312 in category Mathematics, 9 out of 254 in Applied Mathematics and 15 out of 101 in Mathematics, Interdisciplinary Applications in the 2015 Thomson Reuters Journal Citation Report/Science Edition.
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The End of This Issue
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