FDA Express Vol. 26, No. 3, Mar. 15, 2018
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_Vol26_No3_2018.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
International Conference on Fractional Differentiation and its Applications
◆ Books
Fractional statistics and quantum theory
Fractional Order Signal Processing: Introductory Concepts and Applications
◆ Journals
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics
◆ Paper Highlight
◆ Websites of Interest
Fractal derivative and operators and their applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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An extension of the Gegenbauer pseudospectral method for the time fractional Fokker-Planck equation
By: Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar; Toutounian, Faezeh
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1301-1315 Published: MAR 15 2018
Approximate solution of space and time fractional higher order phase field equation
By: Shamseldeen, S.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 494 Pages: 308-316 Published: MAR 15 2018
Spectral Methods for Substantial Fractional Differential Equations
By: Huang, Can; Zhang, Zhimin; Song, Qingshuo
JOURNAL OF SCIENTIFIC COMPUTING Volume: 74 Issue: 3 Pages: 1554-1574 Published: MAR 2018
Complex variable approach to the analysis of a fractional differential equation in the real line
By: San, Mufit
COMPTES RENDUS MATHEMATIQUE Volume: 356 Issue: 3 Pages: 293-300 Published: MAR 2018
Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation
By: Ma, Yong-Ki; Prakash, P.; Deiveegan, A.
CHAOS SOLITONS & FRACTALS Volume: 108 Pages: 39-48 Published: MAR 2018
By: Yang, Chao; Gao, Zhe; Liu, Fanghui
IET CONTROL THEORY AND APPLICATIONS Volume: 12 Issue: 4 Pages: 456-465 Published: MAR 6 2018
By: Taghavian, Hamed; Tavazoei, Mohammad Saleh
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Volume: 28 Issue: 4 Pages: 1127-1144 Published: MAR 10 2018
By: Mirzaee, Farshid; Samadyar, Nasrin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1410-1423 Published: MAR 15 2018
By: Yang, Dan; Wang, JinRong; O'Regan, D.
APPLIED MATHEMATICS AND COMPUTATION Volume: 321 Pages: 654-671 Published: MAR 15 2018
An extension of the Gegenbauer pseudospectral method for the time fractional Fokker-Planck equation
By: Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar; Toutounian, Faezeh
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 4 Pages: 1301-1315 Published: MAR 15 2018
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Call for Papers
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International Conference on Fractional Differentiation and its Applications
(16-18 July 2018, Amman, The Hashemite Kingdom of Jordan)
http://conferences.ju.edu.jo/en/icfda2018/Home.aspx
Description
The ICFDA ’18 is a specialized conference on fractional-order calculus and its applications, an event of the biannual series of international conference ICFDA, http://conferences.ju.edu.jo/en/icfda2018/Lists/PastConferences/PCList.aspx.
This conference is organized under the Patronage of Her Royal Highness Princess Sumaya bint El Hassan, President of the El Hassan Science City and Royal Scientific Society, and sponsored by The University of Jordan and Scientific Research Support Fund, Jordan. Fractional Calculus is a generalization of the integer-order Calculus. The fractional-order differentiation of arbitrary orders takes into account the memory effect of many important systems. The order of the derivatives may also be variable, distributed or complex. Recently, fractional-order calculus became a more accurate tool to describe systems in various fields in mathematics, biology, chemistry, medicine, mechanics, electricity, control theory, economics, and signal and image processing. A wide range of topics on FDA are included. Prospective authors are invited to submit a full paper (4-6 pages) describing original work. All submissions should be made electronically through the conference website. Students are encouraged to participate on the best student paper award contest.
Accepted papers will be published in the conference proceedings subject to advance registration of at least one of the authors. Additionally, extended versions of selected papers will be published in special issues of international journals.
All details on committees, keynote and invited speakers, registration fees, instructions to authors, etc., can be found at the conference website.
Important Deadlines :
– Submission of tutorials and special sessions proposals: April 15, 2018;
– Submission of regular and student papers: April 15, 2018;
–Notification of acceptance: June 2, 2018;
– Submission of cameraready papers: June 25, 2018.
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Books
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A Khare
Book Description
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced research workers with a reasonable background in quantum and statistical mechanics. The main emphasis will be on explaining new concepts. Topics in the first part of the book includes the flux tube model of anyons, the braid group and quantum and statistical mechanics of noninteracting anyon gas. The second part of the book provides a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here includes Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. A chapter will also be devoted to the recent topic of fractional exclusion statistics and the concepts will be illustrated with the example of the Calogero-Sutherland model.
More information on this book can be found by the following links:
https://www.worldscientific.com/worldscibooks/10.1142/2988
Fractional Order Signal Processing: Introductory Concepts and Applications
S Das ， I Pan
Book Description
The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.
More information on this book can be found by the following links:
http://link.springer.com/10.1007/978-3-642-23117-9
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Journals
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Applied Mathematics and Computation
(selected)
Fractional-order Legendre-collocation method for solving fractional initial value problems
Qasem M. Al-Mdallal, Ahmed S. Abu Omer
Time-fractional diffusion equation for signal smoothing
Yuanlu Li, Fawang Liu, Ian W. Turner, Tao Li
Zhousheng Ruan, Wen Zhang, Zewen Wang
Bothayna S.H. Kashkari, Muhammed I. Syam
Analysis of a quintic system with fractional damping in the presence of vibrational resonance
Zhi Yan, Wei Wang, Xianbin Liu
Robust disturbance rejection for uncertain fractional-order systems
Rui-Juan Liu, Zhuo-Yun Nie, Min Wu, Jinhua She
Analysis of the damped nonlinear space-fractional Schrödinger equation
Jiarui Liang, Songhe Song, Weien Zhou, Hao Fu
Approximate solution of fractional vibration equation using Jacobi polynomials
Harendra Singh
Lyapunov functions for Riemann–Liouville-like fractional difference equations
Guo-Cheng Wu, Dumitru Baleanu, Wei-Hua Luo
Yuquan Chen, Qing Gao, Yiheng Wei, Yong Wang
Zhengguang Liu, Aijie Cheng, Xiaoli Li
P. Tamilalagan, P. Balasubramaniam
Hamdy M. Ahmed, Mahmoud M. El-Borai
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Journal of Computational and Applied Mathematics
(Selected)
Boundary conditions for fractional diffusion
Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Harish Sankaranarayanan
Mariusz Ciesielski, Malgorzata Klimek, Tomasz Blaszczyk
Mixed fractional Heston model and the pricing of American options
F. Mehrdoust, A.R. Najafi, S. Fallah, O. Samimi
Fakhrodin Mohammadi, Carlo Cattani
On time-optimal control of fractional-order systems
Ivan Matychyn, Viktoriia Onyshchenko
Fractional Newton mechanics with conformable fractional derivative
Won Sang Chung
A novel chaotification scheme for fractional system and its application
Huijian Zhu, Caibin Zeng
Numerical analysis of behaviour of the Cucker–Smale type models with fractional operators
Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
Optimal variable-order fractional PID controllers for dynamical systems
A. Dabiri, B.P. Moghaddam, J.A. Tenreiro Machado
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Paper Highlight
Yifei Sun, Yufeng Gao, Qizhi Zhu
Publication information: International Journal of Plasticity, Volume 102, March 2018, Pages 53-69
https://www.sciencedirect.com/science/article/pii/S0749641917304163
Abstract
The strength and deformation behaviour of granular soil is strongly dependent on its stress state and loading history. Due to the change of soil state, the plastic flow direction and loading direction are usually non-coaxial and a plastic potential different from the plastic loading function is generally mandatory for capturing correctly volumetric deformation. For that, some state variables have been involved phenomenologically in plastic equations, bringing about some complexity in model formulations and physically meaninglessness of certain parameters. This paper presents a new approach to describing the state-dependent stress-dilatancy behaviour of granular soil using fractional order derivations. Unlike integer-order derivative in the classical plasticity theory, the fractional order derivative is defined in an integral form. Originally, we relate the description of soil state to the definition of the integral lower and upper limits respectively as the current and critical stress states. By performing a fractional order derivative of the plastic yield function, a state-dependent stress-dilatancy equation is set up without additional state variables. As the integration range increases, the flow direction deviates gradually from the loading direction. However, they coincide with each other when critical state is reached where the lower and upper limits merge. For validation, an elastoplastic constitutive model is developed by incorporating the fractional equation into the modified Cam-clay model. A series of drained and undrained triaxial test results for different granular soils are simulated, and the issue of plastic energy dissipation in each simulation is also addressed.
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Cai, Wei; Chen, Wen
Publication information: RHEOLOGICA ACTA Volume: 57 Issue: 1 Pages: 43-50 Published: JAN 2018
http://link.springer.com/10.1007/s00397-017-1054-8
Abstract
It has been long observed that cumbersome parameters are required for the traditional viscoelastic models to describe complex rheological behaviors. Inspired by the relationship between normal and anomalous diffusions, this paper tentatively employs tα to replace t, called as the scaling transformation, in the traditional creep compliance and relaxation modulus. With this methodology, the relaxation modulus is found to agree with the well-known Kohlrausch-Williams-Watts (KWW) stretched exponential function. The fitting results confirm that the proposed models accurately characterize rheological behaviors only with one more parameter α. Moreover, it is noted that the present formulations are directly related to the fractal derivative viscoelastic models and the index α is actually the order of the fractal derivative.
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The End of This Issue
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