FDA Express

FDA Express    Vol. 16, No. 1, July 15, 2015

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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: fdaexpress@163.com, pangguofei2008@126.com

For subscription: http://em.hhu.edu.cn/fda/subscription.htm

PDF download:http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol16_No1_2015.pdf


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¡ô  Latest SCI Journal Papers on FDA

(Searched on 15th July 2015)

¡ô  Call for papers

Special Issue on  Fractional Order Systems and Controllers

Special Issue on  Applied Fractional Calculus in Modeling, Analysis and Design of Control Systems

Special Issue on  Fractional Order Systems and Controls

¡ô  Journals

Entropy

Physica A: Statistical Mechanics and its Applications

Mathematics

Fractional Differential Calculus

¡ô  Paper Highlight

Fractional dispersion in a sand bed river

Understanding partial bed-load transport: experiments and stochastic model analysis

¡ô  Websites of Interest

Fractional Calculus & Applied Analysis

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 Latest SCI Journal Papers on FDA

£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

(Searched on 15th July 2015)

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Mathematica numerical simulation of peristaltic biophysical transport of a fractional viscoelastic fluid through an inclined cylindrical tube

By: Tripathi, D.; Beg, O. Anwar

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING  Volume: 18   Issue: 15   Pages: 1648-1657   Published: NOV 18 2015

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A NUMERICAL SCHEME BASED ON FD-RBF TO SOLVE FRACTIONAL-DIFFUSION INVERSE HEAT CONDUCTION PROBLEMS

By: Wang, M. Q.; Wang, C. X.; Li, Ming; et al.

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS  Volume: 68   Issue: 9   Pages: 978-992   Published: NOV 2 2015

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REGULARIZATION FOR 2-D FRACTIONAL SIDEWAYS HEAT EQUATIONS

By: Wang, Caixian; Ling, Leevan; Xiong, Xiangtuan; et al.

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS  Volume: 68   Issue: 5   Pages: 418-433   Published: NOV 2 2015

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Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian

By: Ding, Youzheng; Wei, Zhongli; Xu, Jiafa; et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 288   Pages: 151-158   Published: NOV 2015

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theta schemes for finite element discretization of the space-time fractional diffusion equations

By: Guan, Qingguang; Gunzburger, Max

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 288   Pages: 264-273   Published: NOV 2015

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An algebraic fractional order differentiator for a class of signals satisfying a linear differential equation

By: Liu, Da-Yan; Tian, Yang; Boutat, Driss; et al.

SIGNAL PROCESSING  Volume: 116   Pages: 78-90   Published: NOV 2015

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SOME LINEAR-QUADRATIC STOCHASTIC DIFFERENTIAL GAMES FOR EQUATIONS IN HILBERT SPACES WITH FRACTIONAL BROWNIAN MOTIONS

By: Duncan, Tyrone E.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  Volume: 35   Issue: 11   Special Issue: SI   Pages: 5435-5445   Published: NOV 2015

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A Mellin transform approach to wavelet analysis

By: Alotta, Gioacchino; Di Paola, Mario; Failla, Giuseppe

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 28   Issue: 1-3   Pages: 175-193   Published: NOV 2015

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Walsh and wavelet methods for differential equations on the Cantor group

By: Lebedeva, E.; Skopina, M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  Volume: 430   Issue: 2   Pages: 593-613   Published: OCT 15 2015

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Levy mixing related to distributed order calculus, subordinators and slow diffusions

By: Toaldo, Bruno

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  Volume: 430   Issue: 2   Pages: 1009-1036   Published: OCT 15 2015

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Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information

By: Song, Chao; Cao, Jinde; Liu, Yangzheng

NEUROCOMPUTING  Volume: 165   Pages: 293-299   Published: OCT 1 2015

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A novel algorithm on adaptive backstepping control of fractional order systems

By: Wei, Yiheng; Chen, Yuquan; Liang, Shu; et al.

NEUROCOMPUTING  Volume: 165   Pages: 395-402   Published: OCT 1 2015

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Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings

By: Bai, Yu-Qin; Huang, Ting-Zhu; Gu, Xian-Ming

APPLIED MATHEMATICS LETTERS  Volume: 48   Pages: 14-22   Published: OCT 2015

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A generalisation of the fractional Brownian field based on non-Euclidean norms

By: Molchanov, Ilya; Ralchenko, Kostiantyn

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  Volume: 430   Issue: 1   Pages: 262-278   Published: OCT 1 2015

 

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Call for Papers

£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

Special Issue on  Fractional Order Systems and Controllers

Published in Control Engineering Practice

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Dear esteemed Colleague,

It is our pleasure to invite you to participate to a special issue in the IFAC journal Control Engineering Practice.

We are preparing this issue for presenting novel ideas, techniques and applications regarding non-integer (fractional) order systems and controllers, in all their possible configurations.

Note that the journal scope and policy are specified as follows.

a) The submitted paper has to be application-oriented, with information and stress on the relevance for an industrial context or for a control-engineering application. To this aim, industrial examples are requested, not just toy examples. Simulation is accepted only if verified on models of real plants. Benefits must be enlightened with respect to other control techniques.

b) Strictly theoretical papers or papers with simple numerical examples will be not considered.

c) The IFAC policy requires new contributions. If the submitted paper is derived and extended from previous contributions in any conference proceedings, then it must be very different from the conference papers.The authors have to clearly indicate the differences and the improvements/originality in the submitted journal paper. Moreover, the conference papers must be cited and adequately discussed.

If you are willing to participate, we will consider your contribution together with those from other experts in the field.

The complete proposal will be evaluated by the Editor-in-Chief, currently Prof. Andreas Kugi, and by other Associate Editors of the Journal. If the outcome will be positive, then you will be invited to submit your paper for evaluation by referees. The submission will be done by a special submission group in EES.

To conclude, for the moment, let us know as soon as possible if you agree to participate. In this case, you should send us in two weeks from the reception of this letter:
- a preliminary title of the paper
- the list of authors
- their complete affiliation with email address
- a short abstract

Best regards
Riccardo Caponetto, Guido Maione, Jocelyn Sabatier

riccardo.caponetto@dieei.unict.it
guido.maione@poliba.it
jocelyn.sabatier@u-bordeaux.fr
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Special Issue on  Applied Fractional Calculus in Modeling, Analysis and Design of Control Systems

Published in International Journal of Control

https://mc.manuscriptcentral.com/tcon

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Editor-in-Chief: Eric Rogers

School of Electronics and Computer Science,

University of Southampton, Southampton SO17 1BJ, UK

e-mail: etar@ecs.soton.ac.uk

Guest Editors:

Prof Dr YangQuan CHEN

Mechatronics, Embedded Systems and Automation (MESA) Lab,


School of Engineering, University of California, Merced


5200 North Lake Road, Merced, CA 95343, USA

 (E-mail: yqchen@ieee.org, or, yangquan.chen@ucmerced.edu )

Dr Clara M. IONESCU

GHENT UNIVERSITY, Faculty of Engineering and Architecture, Dept of Electrical energy, Systems and Automation, Technologiepark 913, B9052, Zwijnaarde, BELGIUM

(E-mail: ClaraMihaela.Ionescu@UGent.be)

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Fractional calculus is about differentiation and integration of non-integer orders. Using integer-order models and controllers for complex natural or man-made systems is simply for our own convenience. Using integer order traditional tools for modelling and control of dynamic systems may result in suboptimum performance, that is, using fractional order calculus tools, we can be ¡°more optimal¡± as already documented in the literature. An interesting remark is that, using integer order traditional tools, more and more ¡°anomalous¡± phenomena are being reported or complained but in applied fractional calculus community, it is now more widely accepted that ¡°anomalous is normal¡± in nature. We believe, beneficial uses of this versatile mathematical tool of fractional calculus from an engineering point of view are possible and important, and  fractional calculus may become an enabler for new science discoveries.

This special issue, with its revealing content and up-to-date developments, joins the utmost proof for this distinctive tendency of adoption of fractional calculus. Since 2012, several such special issues were published in some leading journals which showcase the active interference of fractional calculus to control engineering. It becomes apparent that there is a need to have a special issue in a leading control journal such as International Journal of Control. This focused special issue on control theory and applications is yet another effort to bring forward the latest updates from the applied fractional calculus community. For that we feel very excited and we hope the readers will feel the same.

The aim of this special issue is to show the control engineering research community the usefulness of these fractional order tools in a pragmatic context, in order to stimulate further adoptions and applications. It is our sincere hope that this special issue will become a milestone of a significant trend in the future development of classical and modern control theory. The special issue points out the trend of the fractional order control community to extend and generalize classical and modern control theory to fractional order systems. The contributions may stimulate future industrial applications of the fractional order control leading to simpler, more economical, reliable and versatile systems with increasing complexities.

There is no doubt that with this special issue, the emerging concepts of fractional calculus will have their mathematical abstractness removed and become an attractive tool in the field of control engineering with more ¡®¡®good consequences¡¯¡¯. We welcome any contribution within the general scope of the Special Issue theme ¡°Applied Fractional Calculus in Modeling, Analysis and Design of Control Systems.¡±

IMPORTANT DATES: (tentative)

15 March 2015:                Call for Papers

1 June 2014:                     Paper Submission

1 August 2015:                  First Review

1 October 2015:                Paper Acceptance

1 December 2015:             Publication online

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SUBMISSION GUIDELINES:

Potential authors are encouraged to upload the electronic file of their manuscript through the journal¡¯s online submission website:

https://mc.manuscriptcentral.com/tcon

Please select the item:  fracspec  on the drop-down menu when you submit papers.

All papers have to be written and submitted according to the International Journal of Control guidelines.

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Special Issue on  Fractional Order Systems and Controls

Published in IEEE/CAA Journal of Automatica Sinica

https://mc03.manuscriptcentral.com/aas-en

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Editor-in-Chief: Prof. Fei-Yue Wang

Guest Co-Editors:

Prof. YangQuan CHEN

Mechatronics, Embedded Systems and Automation (MESA) Lab,

School of Engineering, University of California, Merced

5200 North Lake Road, Merced, CA 95343, USA

E-mail: yqchen@ieee.org, or, yangquan.chen@ucmerced.edu

(T: 1-209-2284672; W: http://mechatronics.ucmerced.edu/)

Prof. Dingyu XUE,

School of Information Sciences and Engineering,

Northeastern University, Shenyang 110004, P.R.China

E-mail: xuedingyu@ise.neu.edu.cn

Prof. Antonio VISIOLI,

Department of Mechanical and Industrial Engineering,

University of Brescia, Via Branze 38, I-25123 Brescia (Italy)

E-mail: antonio.visioli@ing.unibs.it; http://www.ing.unibs.it/~visioli

Fractional calculus is about differentiation and integration of non-integer orders. Using integer-order models and controllers for complex natural or man-made systems is simply for our own convenience while the nature runs in a fractional order dynamical way. Using integer order traditional tools for modelling and control of dynamic systems may result in suboptimum performance, that is, using fractional order calculus tools, we could be ¡°more optimal¡± as already documented in the literature. An interesting remark is that, using integer order traditional tools, more and more ¡°anomalous¡± phenomena are being reported or perhaps complained but in applied fractional calculus community, it is now more widely accepted that ¡°Anomalous is normal¡± in nature. We believe, beneficial uses of fractional calculus from an engineering point of view are possible and important. We also hope that fractional calculus might become an enabler for new science discoveries. Bruce J. West just finished a new book entitled ¡°The Fractional Dynamic View of Complexity - Tomorrow¡¯s Science¡± (CRC Press, late 2015). We resonate that, with this special issue, ¡°Fractional Order Systems and Controls¡± will one day enable ¡°tomorrow¡¯s sciences¡±.

Since 2012, several special issues were published in some leading journals which showcase the active interference of fractional calculus to control engineering. Clearly, there is a strong need to have a special issue in an emerging leading control journal such as IEEE/CAA Journal of Automatica Sinica (JAS). This focused special issue on control theory and applications is yet another effort to bring forward the latest updates from the applied fractional calculus community. For that we feel very excited and we hope the readers will feel the same.

The aim of this special issue is to show the control engineering research community the usefulness of the fractional order tools from signals to systems to controls. It is our sincere hope that this special issue will become a milestone of a significant trend in the future development of classical and modern control theory. The contributions may stimulate future industrial applications of the fractional order control leading to simpler, more economical, more energy efficient, more reliable and versatile systems with increasing complexities.

There is no doubt that with this special issue, the emerging concepts of fractional calculus will have their mathematical abstractness removed and become an attractive tool in the field of control engineering with more ¡®¡®good consequences¡¯¡¯. We welcome any contribution within the general scope of the Special Issue theme ¡°Fractional Order Systems and Controls¡±.

IMPORTANT DATES: (tentative)

15 June 2015: Call for Papers

31 August 2015: Paper Submission

31 October 2015: First Review

30 November 2015: Paper Acceptance

Issue #1 of 2016: Publication online

SUBMISSION GUIDELINES:

Potential authors are encouraged to upload the electronic file of their manuscript through the journal¡¯s online submission website:

https://mc03.manuscriptcentral.com/aas-en

Please select the special issue item on the drop-down menu when you submit papers.

All papers have to be written in English and submitted according to the IEEE/CAA Journal of Automatica Sinica guidelines.

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 Journals

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£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­£­

Entropy

Volume 17, Issue 7 (selected)

http://www.mdpi.com/journal/entropy/special_issues/fractional-dynamics

Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy

Ibrahim, R.; Jalab, H.

Generalized Boundary Conditions for the Time-Fractional Advection Diffusion Equation

Povstenko, Y.

H¡Þ Control for Markov Jump Systems with Nonlinear Noise Intensity Function and Uncertain Transition Rates

Wang, X.; Guo, Y.

Fractional Differential Texture Descriptors Based on the Machado Entropy for Image Splicing Detection

Ibrahim, R.; Moghaddasi, Z.; Jalab, H.; Noor, R.
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Physica A: Statistical Mechanics and its Applications

(selected)

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New approach to find exact solutions of time-fractional Kuramoto¨CSivashinsky equation

S. Sahoo, S. Saha Ray

Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control

Fei Wang, Yongqing Yang, Manfeng Hu, Xianyun Xu    

Revisited Fisher¡¯s equation in a new outlook: A fractional derivative approach

Marwan Alquran, Kamel Al-Khaled, Tridip Sardar, Joydev Chattopadhyay

First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval

Gang Guo, Bin Chen, Xinjun Zhao, Fang Zhao, Quanmin Wang

Lattice fractional diffusion equation in terms of a Riesz¨CCaputo difference

Guo-Cheng Wu, Dumitru Baleanu, Zhen-Guo Deng, Sheng-Da Zeng

Exact solution to fractional logistic equation

Bruce J. West

Synchronization of fractional order complex dynamical networks

Yu Wang, Tianzeng Li 

Fractional correlation functions in simple viscoelastic liquids

R.F. Rodr¨ªguez, J. Fujioka, E. Salinas-Rodr¨ªguez

Parameter estimation for the generalized fractional element network Zener model based on the Bayesian method

Wenping Fan, Xiaoyun Jiang, Haitao Qi

Fractional Liouville equation on lattice phase-space

Vasily E. Tarasov

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Mathematics

Volume 3, Issue 2 (Selcted)

http://www.mdpi.com/journal/mathematics/special_issues/fractional-calculus

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Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses

Anguraj, A.; Ranjini, M.; Rivero, M.; Trujillo, J.

Basic Results for Sequential Caputo Fractional Differential Equations

Sambandham, B.; Vatsala, A.

Fractional Diffusion in Gaussian Noisy Environment

Hu, G.; Hu, Y.

Analytical Solution of Generalized Space-Time Fractional Cable Equation

Saxena, R.; Tomovski, Z.; Sandev, T.

Asymptotic Expansions of Fractional Derivatives andTheir Applications

Morita, T.; Sato, K.

Fractional Euler-Lagrange Equations Applied to Oscillatory Systems

David, S.; Valentim, C.

The Fractional Orthogonal Derivative

Diekema, E.

The Role of the Mittag-Leffler Function in Fractional Modeling

Rogosin, S.

Implicit Fractional Differential Equations via the Liouville¨CCaputo Derivative

Nieto, J.; Ouahab, A.; Venktesh, V.

Subordination Principle for a Class of Fractional Order Differential Equations

Bazhlekova, E.

Sinc-Approximations of Fractional Operators: A Computing Approach

Baumann, G.; Stenger, F.

The Fractional Orthogonal Difference with Applications

Diekema, E.

Time Automorphisms on C -Algebras. Mathematics 2015, 3(3), 626-643; doi:10.3390/math3030626.

Hilfer, R.
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Fractional Differential Calculus

Volume 5, Issue 1

 http://fdc.ele-math.com/volume/5

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Subordination results on multivalent functions related to the Saigo fractional differintegral operator

J. K. Prajapat

A new subclass of harmonic univalent functions associated with fractional calculus operator

Saurabh Porwal

An Opial-type integral inequality and exponentially convex functions

Maja Andrić, Ana Barbir, Sajid Iqbal, Josip Pečarić

Parametric study of fractional bioheat equation in skin tissue with sinusoidal heat flux

R. S. Damor, Sushil Kumar, A. K. Shukla

Finite difference method for solving the space-time fractional wave equation in the Caputo form

Elham Afshari, Behnam Sepehrian, Ali Mohamad Nazari

Existence of mild solutions for impulsive fractional functional integro-differential equations

Ganga Ram Gautam, Jaydev Dabas

Maximal solutions to fractional differential equations

Christopher C. Tisdell

Some discrete fractional Lyapunov-type inequalities

Rui A. C. Ferreira

 Opial-type inequalities for fractional integral operator involving Mittag-Leffler function

Ghulam Farid, Josip Pečarić, Zivorad Tomovski

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 Paper Highlight
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Fractional dispersion in a sand bed river

Bradley DN, Tucker GE, Benson DA

Publication information: Bradley DN, Tucker GE, Benson D.A. Fractional dispersion in a sand bed river. J. Geophys. Res., 2010, 115: F00A09.

http://onlinelibrary.wiley.com/doi/10.1029/2009JF001268/full

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Abstract

Random walk models of fluvial bed load transport use probability distributions to describe the distance a grain travels during an episode of transport and the time it rests after deposition. These models typically employ probability distributions with finite first and second moments, reflecting an underlying assumption that all the factors that influence sediment transport tend to combine in such a way that the length of a step or the duration of a rest can be characterized by a mean value surrounded by a specific amount of variability. The observation that many transport systems exhibit apparent scale-dependent behavior and non-Fickian dispersion suggests that this assumption is not always valid. We revisit a nearly 50 year old tracer experiment in which the tracer plume exhibits the hallmarks of dispersive transport described by a step length distribution with a divergent second moment and no characteristic dispersive size. The governing equation of this type of random walk contains fractional-order derivatives. We use the data from the experiment to test two versions of a fractional-order model of dispersive fluvial bed load transport. The first version uses a heavy-tailed particle step length distribution with a divergent second moment to reproduce the anomalously high fraction of tracer mass observed in the downstream tail of the spatial distribution. The second version adds a feature that partitions mass into a detectable mobile phase and an undetectable, immobile phase. This two-phase transport model predicts other features observed in the data: a decrease in the amount of detected tracer mass over the course of the experiment and enhanced particle retention near the source. The fractional-order models match the observed plume shape and growth rates better than prior attempts with classical models.

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Understanding partial bed-load transport: experiments and stochastic model analysis

Sun HG, Chen D, Zhang Y, Chen L

Publication information: Sun HG, Chen D, Zhang Y, Chen L. Understanding partial bed-load transport: experiments and stochastic model analysis. J. Hydrol., 2015, 521: 196-204.

http://www.sciencedirect.com/science/article/pii/S002216941400986X

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Abstract

The complex dynamics of partial bed-load transport in a series of well-controlled laboratory experiments are explored systematically and simulated by a stochastic model in this study. Flume experiments show that the leading front of bed-load on a 20-m-long, mixed-size gravel-bed moves anomalously, where the transient transport rate of the accelerating front varies with the observation time scale. In addition, observations show that moving particles may experience bimodal transport (i.e., coexistence of long trapping time and large jump length) related to bed coarsening and the formation of clusters on a heterogeneous gravel-bed, which is distinguished from the traditional theory of hiding¨Cexposing interactions among mixed-size particles. A fractional derivative model is finally applied to characterize the overall behavior of partial bed-load transport, including the coexistence of the sub-diffusion and non-local feature caused by turbulence and the micro-relief within an armor layer.

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