FDA Express Vol. 22, No. 1, Jan 15, 2017
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Institute of Soft Matter Mechanics, Hohai University
For contribution:
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pangguofei2008@126.com
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◆ Latest SCI Journal Papers on FDA
◆ Call for papers
Special Issue: Advances on Computational Fractional Partial Differential Equations
◆ Books
Discrete Fractional Calculus: Applications in Control and Image Processing
◆ Journals
Journal of Computational Physics
◆ Paper Highlight
Mathematical modelling of fractional order circuit elements and bioimpedance applications
A new variational approach for restoring images with multiplicative noise
◆ 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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Mathematical modelling of fractional order circuit elements and bioimpedance applications
By: Angel Moreles, Miguel; Lainez, Rafael
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 46 Pages: 81-88 Published: MAY 2017
By:Macias-Diaz, J. E.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 46 Pages: 89-102 Published: MAY 2017
A radial symmetry and Liouville theorem for systems involving fractional Laplacian
By: Li, Dongsheng; Li, Zhenjie
FRONTIERS OF MATHEMATICS IN CHINA Volume: 12 Issue: 2 Pages: 389-402 Published: APR 2017
By: Liang, Yinshan; Lu, Jiangling
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS Volume: 26 Issue: 4 Article Number: 1750065 Published: APR 2017
Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method
By: Yang, Ying; He, Yong; Wang, Yong; et al.
Communications in Nonlinear Science and Numerical Simulation Volume: 45 Pages: 140-157 Published: APR 2017
By: He, Huijun; Yin, Zhaoyang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 37 Issue: 3 Pages: 1509-1537 Published: MAR 2017
By: Behroozifar, M.; Sazmand, A.
APPLIED MATHEMATICS AND COMPUTATION Volume: 296 Pages: 1-17 Published: MAR 1 2017
Discrete spline methods for solving two point fractional Bagley-Torvik equation
By:Zahra, W. K.; Van Daele, M
APPLIED MATHEMATICS AND COMPUTATION Volume: 296 Pages: 42-56 Published: MAR 1 2017
Center stable manifold for planar fractional damped equations
By: Wang, JinRong; Fetkan, Michal; Zhou, Yong
APPLIED MATHEMATICS AND COMPUTATION Volume: 296 Pages: 257-269 Published: MAR 1 2017
Implicit Euler approximation of stochastic evolution equations with fractional Brownian motion
By: Kamrani, Minoo; Jamshidi, Nahid
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 44 Pages: 1-10 Published: MAR 2017
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Call for Papers
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Special Issue: Advances on Computational Fractional Partial Differential Equations
------ International Journal of Computer Mathematics
Description
The special issue will present the state of the art of the research in the field of Computational Fractional PDEs. This issue solicits high quality original research papers which present and discuss recent advances on computational methods for Fractional PDEs and their applications in Science and Engineering.
Submission Deadlines:
Deadline for submission of full paper: April 01, 2017
Deadline for submission of revised manuscripts: August 01, 2017
Notification of Final acceptance: October 2017
Date of publication: December 2017
Editorial information:
Guest Editor: K.M. Furati , King Fahd University of Petroleum and Minerals, Saudi Arabia
Guest Editor: A.Q.M. Khaliq , Middle Tennessee State University, USA
Guest Editor: Ch. Li, Shanghai University, China
Guest Editor: M. Zayernouri, Michigan State University, USA
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Books
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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.
More information on this book can be found by the following links:
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Discrete Fractional Calculus: Applications in Control and Image Processing
Piotr Ostalczyk
Book Description
The main subject of the monograph is the fractional calculus in the discrete version. The volume is divided into three main parts. Part one contains a theoretical introduction to the classical and fractional-order discrete calculus where the fundamental role is played by the backward difference and sum. In the second part, selected applications of the discrete fractional calculus in the discrete system control theory are presented. In the discrete system identification, analysis and synthesis, one can consider integer or fractional models based on the fractional-order difference equations. The third part of the book is devoted to digital image processing.
More information on this book can be found by the following link:
http://www.worldscientific.com/worldscibooks/10.1142/9833
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Journals
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(Special Issue on Fractional Order Systems and Controls)
Bruce J. West ; Malgorzata Turalska
A fractional micro-macro model for crowds of pedestrians based on fractional mean field games
Kecai Cao ; Yangquan Chen ; Daniel Stuart
Jiacai Huang ; Yangquan Chen ; Haibin Li ; Xinxin Shi
Fractional modeling and SOC estimation of lithium-ion battery
Yan Ma ; Xiuwen Zhou ; Bingsi Li ; Hong Chen
Fractional modeling and analysis of coupled MR damping system
Bingsan Chen ; Chunyu Li ; Benjamin Wilson ; Yijian Huang
Xiaojuan Chen ; Jun Zhang ; Tiedong Ma
Cuihong Wang ; Huanhuan Li ; Yangquan Chen
Kai Chen ; Junguo Lu ; Chuang Li
Constrained swarm stabilization of fractional order linear time invariant swarm systems
Mojtaba Naderi Soorki ; Mohammad Saleh Tavazoei
Improving the control energy in model reference adaptive controllers using fractional adaptive laws
Norelys Aguila-Camacho ; Manuel A. Duarte-mermoud
An approach to design MIMO FO controllers for unstable nonlinear plants
Arturo Rojas-Moreno
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Journal of Computational Physics
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
Z. Yang, Z. Yuan, Y. Nie, J. Wang, X. Zhu, F. Liu
Fast parareal iterations for fractional diffusion equations
Shu-Lin Wu, Tao Zhou
A higher order non-polynomial spline method for fractional sub-diffusion problems
Xuhao Li, Patricia J.Y. Wong
Xavier Antoine, Qinglin Tang, Yong Zhang
Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
Yue Yu, Paris Perdikaris, George Em Karniadakis
Xue-lei Lin, Xin Lu, Micheal K. Ng, Hai-Wei Sun
Udita N. Katugampola
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
Alexander G. Churbanov, Petr N. Vabishchevich
Dongfang Li, Jiwei Zhang
Beiping Duan, Zhoushun Zheng, Wen Cao
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Paper
Highlight
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Mathematical modelling of fractional order circuit elements and bioimpedance applications
Angel Moreles, Miguel; Lainez, Rafael
Publication information: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 46 Pages: 81-88 Published: MAY 2017
http://www.sciencedirect.com/science/article/pii/S1007570416303598
Abstract
In this work a classical derivation of fractional order circuits models is presented. Generalised constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell’s equations for each circuit element. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. It is shown that from basic properties of Fractional Calculus, a fractional differential equation model with Caputo derivatives is obtained. Thus standard initial conditions apply. Finally, models for bioimpedance are revisited.
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A new variational approach for restoring images with multiplicative noise
A Ullah，W Chen，MA Khan
Publication information: COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 71 Issue: 10 Pages: 2034-2050 Published: MAY 2016
http://dl.acm.org/citation.cfm?id=2937431
Abstract
This paper proposes a novel variational model for restoration of images corrupted with multiplicative noise. It combines a fractional-order total variational filter with a high-order PDE (Laplacian) norm. The combined approach is able to preserve edges while avoiding the blocky-effect in smooth regions. This strategy minimizes a certain energy subject to a fitting term derived from a maximum a posteriori (MAP). Semi-implicit gradient descent scheme is applied to efficiently finding the minimizer of the proposed functional. To improve the numerical results, we opt for an adaptive regularization parameter selection procedure for the proposed model by using the trial-and-error method. The existence and uniqueness of a solution to the proposed variational model is established. In this study parameter dependence is also discussed. Experimental results demonstrate the effectiveness of the proposed model in visual improvement as well as an increase in the peak signal-to-noise ratio comparing to corresponding PDE methods.
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The End of This Issue
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