FDA Express Vol. 25, No. 2, Nov 15, 2017
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, fdaexpress@hhu.edu.com
For subscription: http://em.hhu.edu.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol25_No2_2017.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for papers
The 3rd IFAC Conference on Advances in Proportional-Integral Derivative Control
◆ Reports
◆ Books
Fractional Processes and Fractional-Order Signal Processing : Techniques and Applications
Selected Problems of Fractional Systems Theory
◆ Journals
Fractional Calculus & Applied Analysis
Nonlinear Analysis: Real World Applications
◆ Paper Highlight
◆ Websites of Interest
Fractal derivative and operators and their applications
Fractional Calculus & Applied Analysis
========================================================================
Latest SCI Journal Papers on FDA
------------------------------------------
By: Ding, Xiao-Li; Nieto, Juan J.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 52 Pages: 165-176 Published: NOV 2017
Spatiotemporal chaos of fractional order logistic equation in nonlinear coupled lattices
By: Zhang, Ying-Qian; Wang, Xing Yuan; Liu, Li-Yan; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 52 Pages: 52-61 Published: NOV 2017
A note on fractional order in thermo-elasticity of shape memory alloys' dampers
By: Manzoor, Tareq; Mehmood, Zaffar; Zahid, Manzoor A.; et al.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER Volume: 114 Pages: 597-606 Published: NOV 2017
By: Pandey, Rishi Kumar; Mishra, Hradyesh Kumar
NEW ASTRONOMY Volume: 57 Pages: 82-93 Published: NOV 2017
By: Ren, Lei; Wang, Yuan-Ming
APPLIED MATHEMATICS AND COMPUTATION Volume: 312 Pages: 1-22 Published: NOV 1 2017
By: Ao, Weiwei; Wei, Juncheng; Yang, Wen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 37 Issue: 11 Pages: 5561-5601 Published: NOV 2017
By: Barrios, Begona; Del Pezzo, Leandro; Garcia-Melian, Jorge; et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 37 Issue: 11 Pages: 5731-5746 Published: NOV 2017
Recognition of a time-dependent source in a time-fractional wave equation
By: Siskova, K.; Slodicka, M.
APPLIED NUMERICAL MATHEMATICS Volume: 121 Pages: 1-17 Published: NOV 2017
By: Mokhtary, P.
APPLIED NUMERICAL MATHEMATICS Volume: 121 Pages: 52-67 Published: NOV 2017
A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation
By: Zeng, Fanhai; Li, Changpin
APPLIED NUMERICAL MATHEMATICS Volume: 121 Pages: 82-95 Published: NOV 2017
==========================================================================
Call for Papers
------------------------------------------
The 3rd IFAC Conference on Advances in Proportional-Integral Derivative Control
Description
==========================================================================
Reports
------------------------------------------
Website: http://www.math.bas.bg/~tmsf/2017/
The main organizer and host was the Institute of Mathematics and Informatics – Bulgarian Academy of Sciences (IMI–BAS). The aim of this conference was to continue the traditions of the series of TMSF conferences in Bulgaria, http://www.math.bas.bg/∼tmsf/, and to mark some jubilee events: – the 70 years of IMI–BAS; – the 20th volume of “Fractional Calculus and Applied Analysis” journal; – the 65th anniversary of its Ed.-in-Chief, Virginia Kiryakova.
Organizing Committee: Emilia Bazhlekova and Jordanka PanevaKonovska (Co-Chairs), etc. Scientific Program Committee: Virginia Kiryakova, Stepan Tersian (Co-Chairs), etc.
Topics and Scientific Program of TMSF 2017 were planned to include: – “Fractional Calculus and Applied Analysis” (FCAA) - the topics of this journal; – “Transform Methods and Special Functions” (TMSF) - topics as: Special Functions, Integral Transforms, Convolutional and Operational Calculus, Fractional and High Order Differential Equations, Numerical Methods, Generalized Functions, Complex Analysis, etc.; – “Geometric Function Theory and Applications” (GFTA); Applications etc. However, it happened that the vast majority of talks and participants were closely related to the FCAA topics !
The Scientific Program (28, 29, 30 August) and Abstracts Book are available at the conference website, with participants list and all other details. Post-conference publications of some papers presented at TMSF 2017 are planned in the journals FCAA and IJAM (Int. J. Appl. Math.). The final countdown is that there were 70 participants and visitors, from 17 countries (44 - from abroad, 26 - from Bulgaria), distributed as follows: Serbia / Macedonia - 7; Poland - 6; Italy - 5; Oman - 3; China / Romania / Russia / Slovak R / Spain - 2; Croatia / France / Germany / Portugal / Ukraine / Uzbekistan - 1. Among participants, we had 11 representatives of FCAA Editorial Board: R. Garrappa, M. Kirane, Y. Luchko, J.A. Tenreiro Machado, F. Mainardi, I. Podlubny, and the Bulgarian members: E. Bazhlekova, I. Dimovski, V. Kiryakova, P. Rusev, S. Tersian.
===========================================================================
Books
------------------------------------------
Fractional Processes and Fractional-Order Signal Processing : Techniques and Applications
Hu Sheng, YangQuan Chen, TianShuang Qiu
Book Description
Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: • presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; • introduces FOSP techniques and the fractional signals and fractional systems point of view; • details real-world-application examples of FOSP techniques to demonstrate their utility; and • provides important background material on Mittag-Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.
More information on this book can be found by the following links:
https://link.springer.com/book/10.1007%2F978-1-4471-2233-3
Selected Problems of Fractional Systems Theory
Tadeusz Kaczorek
Book Description
This monograph covers some selected problems of positive fractional 1D and 2D linear systems. It is an extended and modified English version of its preceding Polish edition published by Technical University of Bialystok in 2009. This book is based on the lectures delivered by the author to the Ph.D. students of the Faculty of Electrical Engineering of Bialystok University of Technology and of Warsaw University of Technology and on invited lectures in several foreign universities in the last three years.
More information on this book can be found by the following links:
https://link.springer.com/book/10.1007%2F978-3-642-20502-6#about
========================================================================
Journals
------------------------------------------
Fractional Calculus & Applied Analysis
(Vol. 20, No 5)
Niels Henrik Abel and the birth of fractional calculus
Podlubny, Igor / Magin, Richard L. / Trymorush, Iryna
Ford, Neville J. / Yan, Yubin
Karapetyants, Alexey / Samko, Stefan
On the maximum principle for a time-fractional diffusion equation
Luchko, Yuri / Yamamoto, Masahiro
Li, Lin / Sun, Jijiang / Tersian, Stepan
Asymptotic behavior of solutions of linear multi-order fractional differential systems
Diethelm, Kai / Siegmund, Stefan / Tuan, H.T.
On a generalized three-parameter wright function of Le Roy type
Garrappa, Roberto / Rogosin, Sergei / Mainardi, Francesco
A generalization of the Paley–Wiener theorem for Mellin transforms and metric characterization of function spacesBardaro, Carlo / Butzer, Paul L. / Mantellini, Ilaria / Schmeisser, Gerhard
Well-posedness and numerical approximation of tempered fractional terminal value problemsMorgado, Maria Luísa / Rebelo, Magda
Accurate relationships between fractals and fractional integrals: New approaches and evaluationsNigmatullin, Raoul R. / Zhang, Wei / Gubaidullin, Iskander
Fractional Fokker-Planck-Kolmogorov equations associated with SDES on a bounded domainUmarov, Sabir
Benchmark problems for Caputo fractional-order ordinary differential equationsXue, Dingyü / Bai, Lu
[Back]
Nonlinear Analysis: Real World Applications
(Selected)
Nontrivial solutions of some fractional problems
Nguyen Van Thin
Conservation laws for certain time fractional nonlinear systems of partial differential equations
Komal Singla, R.K. Gupta
Fractional nonlinear dynamics of DNA breathing
Alain Mvogo, Germain H. Ben-Bolie, Timoléon C. Kofané
Muhammad Arshad, Dianchen Lu, Jun Wang
Xiao-Li Ding, Juan J. Nieto
Spiking and bursting patterns of fractional-order Izhikevich model
Wondimu W. Teka, Ranjit Kumar Upadhyay, Argha Mondal
Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines
J.E. Macías-Díaz
========================================================================
Paper Highlight
Xianglong Su, Wen Chen, Wenxiang Xu
Publication information: ADVANCES IN MECHANICAL ENGINEERING Volume: 9 Issue: 10 Article Number: 1687814017699765 Published: OCT 5 2017
http://journals.sagepub.com/doi/full/10.1177/1687814017699765
Abstract
Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the Abel dashpot. The results show that as the derivative order is between 0 and 1, the viscoelastic behavior of the fractal dashpot is similar to that of the Abel dashpot. However, the fractal dashpot has a high computational efficiency compared with the Abel dashpot. On the other hand, the fractal dashpot can be reduced to the Newton dashpot when the derivative order equals to 1. As an extension of fractal dashpot, a fractal Bingham model is also introduced in this study. The accuracy of proposed fractal models is verified by the relevant rheological experimental data. Moreover, the obtained parameters can not only provide quantitative insights into both the viscoelasticity and the relative strength of rheopexy and thixotropy, but also quantitatively distinguish shear thinning and thickening phenomena.
-------------------------------------
Farno, Ehsan; Baudez, Jean-Christophe; Eshtiaghi, Nicky
Publication information: SCIENCE OF THE TOTAL ENVIRONMENT Volume: 613 Pages: 1031-1036 Published: FEB 1 2018
http://europepmc.org/abstract/MED/28950665
Abstract
Appropriate sewage sludge rheological models are essential for computational fluid dynamic simulation of wastewater treatment processes, in particular aerobic and anaerobic digestions. The liquid-like behaviour of sludge is well documented but the solid-like behaviour remains poorly described despite its importance for dead-zone formation. In this study, classical Kelvin-Voigt model, commonly used for sludge in literature, were compared with fractional derivative Kelvin-Voigt model regarding their predictive ability for describing the solid-like behaviour. Results showed that the fractional Kelvin-Voigt model best fitted the experimental data obtained from creep and frequency sweep tests. Whereas, classical Kelvin-Voigt could not fit the frequency sweep data as this model is not a function of angular velocity. Also, the Kelvin-Voigt model was unable to predict the creep data at low stresses.
==========================================================================
The End of This Issue
∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽