FDA Express    Vol. 15, No. 1, Apr. 15, 2015

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_Vol15_No1_2015.pdf

◆  Latest SCI Journal Papers on FDA

(Searched on 15th April 2015)

◆  Call for papers

Symposium-Computational fractional dynamic systems and its applications

◆  Books

Advanced Fractional Differential and Integral Equations

Stochastic Foundations in Movement Ecology:Anomalous Diffusion, Front Propagation and Random Searches

◆  Journals

Fract. Calc. Appl. Anal.

Physics Letters A

Nonlinear Dynamics

Communications in Nonlinear Science and Numerical Simulation

◆  Paper Highlight

A subordinated advection model for uniform bed load transport from local to regional scales

Space-fractional advection-dispersion equations by the Kansa method

◆  Websites of Interest

Fractional Calculus & Applied Analysis

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 Latest SCI Journal Papers on FDA

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(Searched on 15th April 2015)

CERTAIN NEW GRUSS TYPE INEQUALITIES INVOLVING SAIGO FRACTIONAL q-INTEGRAL OPERATOR

By: Wang, Guotao; Agarwal, Praveen; Baleanu, Dumitru

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 5   Pages: 862-873   Published: NOV 2015

A Novel Multistep Generalized Differential Transform Method for Solving Fractional-order Lu Chaotic and Hyperchaotic Systems

By: Al-Smadi, Mohammed; Reihat, Asad; Abu Arqub, Omar; et al.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 19   Issue: 4   Pages: 713-724   Published: OCT 2015

Some boundary value problems of fractional differential equations with fractional impulsive conditions

By: Xu, Youjun; Liu, Xiaoyou

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 3   Pages: 426-443   Published: SEP 2015

Matrix fractional systems

By: Tenreiro Machado, J. A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 25   Issue: 1-3   Pages: 10-18   Published: AUG 2015

Model reference adaptive control in fractional order systems using discrete-time approximation methods

By: Abedini, Mohammad; Nojoumian, Mohammad Ali; Salarieh, Hassan; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 25   Issue: 1-3   Pages: 27-40   Published: AUG 2015

Chaos in the fractional order nonlinear Bloch equation with delay

By: Baleanu, Dumitru; Magin, Richard L.; Bhalekar, Sachin; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 25   Issue: 1-3   Pages: 41-49   Published: AUG 2015

Comments on "Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks''

By: Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 25   Issue: 1-3   Pages: 145-148   Published: AUG 2015

Modified spline collocation for linear fractional differential equations

By: Kolk, Marek; Pedas, Arvet; Tamme, Enn

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 283   Pages: 28-40   Published: AUG 1 2015

Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method

By: Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid; et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 283   Pages: 41-57   Published: AUG 1 2015

STABILITY IN VOLTERRA INTEGRAL EQUATIONS OF FRACTIONAL ORDER WITH CONTROL VARIABLE

By: Nasertayoob, Payam; Vaezpour, S. Mansour; Saadati, Reza; et al.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 2   Pages: 346-358   Published: AUG 2015

 
Synthesis of Fractal Surfaces for Remote-Sensing Applications

By: Riccio, Daniele; Ruello, Giuseppe

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING  Volume: 53   Issue: 7   Pages: 3803-3814   Published: JUL 2015

Anisotropic Phase Unwrapping for Synthetic Aperture Radar Interferometry

By: Danudirdjo, Donny; Hirose, Akira

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING  Volume: 53   Issue: 7   Pages: 4116-4126   Published: JUL 2015

A new method for short-term load forecasting based on fractal interpretation and wavelet analysis

By: Zhai, Ming-Yue

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS  Volume: 69   Pages: 241-245   Published: JUL 2015

Volterra-type Lyapunov functions for fractional-order epidemic systems

By: Vargas-De-Leon, Cruz

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 24   Issue: 1-3   Pages: 75-85   Published: JUL 2015

An SOC estimation approach based on adaptive sliding mode observer and fractional order equivalent circuit model for lithium-ion batteries

By: Zhong, Fuli; Li, Hui; Zhong, Shouming; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 24   Issue: 1-3   Pages: 127-144   Published: JUL 2015

Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications

By: Plociniczak, Lukasz

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 24   Issue: 1-3   Pages: 169-183   Published: JUL 2015

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Call for Papers

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Symposium-Computational fractional dynamic systems and its applications

----- ------ICCES15, 20-24 July 2015, Reno, Nevada

http://www.icces.org/symposia.html

Dear Colleague,

We are pleased to inform you that the website of ICCES15 (www.icces.org) has been updated with all the currently available information.

We are also very pleased to let you know that our minisymposium proposal" Computational fractional dynamic systems and its applications" for ICCES15 has been approved. Please submit the title and abstract of your talk on the conference homepage http://submission.techscience.com/icces15

and send a copy to us (f.liu@qut.edu.au or shg@hhu.edu.cn).

Please let us know if you have any questions. Thank you very much for your support!

We look forward to seeing you in Reno, Nevada!

Sincerely yours,

Fawang  and  HongGuang

15 April 2015: Start early registration.

01 May 2015: Deadline for full-length paper submission.

15 May 2015: CUT OFF DATE FOR HOTEL RESERVATIONS.

25 May 2015: Final Deadline for Abstract submission

30 May 2015: Deadline for early registration.

30 June 2015: Technical program announcement.

30 June 205: Deadline for the late registration.

20 July 2015: On-site registration and start of ICCES15.

Description:

In recent years, a growing number of works by many authors from various fields of science and engineering deal with dynamical systems described by fractional partial differential equations (FPDE). Many computational fractional dynamic systems and its applications have been proposed. The aims of this minisymposium are to foster communication among researchers and practitioners who are interested in this field, introduce new researchers to the field, present original ideas, report state-of-the-art and in-progress research results, discuss future trends and challenges, establish fruitful contacts and promote interactions between researchers in computational fractional dynamic systems and other cross-disciplines.

The topics of this symposium include, but are not limited to: numerical methods and numerical analysis, such as finite difference method, finite element method, spectral element method, finite volume method, decomposition method, matrix transform method, meshless method, and so on.

Organizers:

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Books

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Advanced Fractional Differential and Integral Equations

Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US)

(Contributed by Prof. Mouffak Benchohra)
　

Book Description

Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of fractional order. Some equations present delay which may be finite, infinite or state-dependent. Others are subject to multiple time delay effect. The tools used include classical fixed point theorems. Other tools are based on the measure of non-compactness together with appropriates fixed point theorems. Each chapter concludes with a section devoted to notes and bibliographical remarks and all the presented results are illustrated by examples. 

The content of the book is new and complements the existing literature in Fractional Calculus. It is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering, biology and other applied sciences. (Imprint: Nova)

More information on this book can be found by the following link: https://www.novapublishers.com/catalog/product_info.php?cPath=23_49&products_id=51752&osCsid=72336a5289ad01c0ca3342dd7ea5b5b7

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Stochastic Foundations in Movement Ecology: Anomalous Diffusion, Front Propagation and Random Searches

Vicenç Méndez, Daniel Campos, Frederic Bartumeus

Book Description

This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies. 

Adopting a self-contained, textbook-style approach, the authors provide the elements of statistical physics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicit definition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems.  

Including numerous exercises (with solutions), this text is aimed at graduate students and newcomers in this field at the interface of theoretical ecology, mathematical biology and physics.

More information on this book can be found by the following link: http://www.springer.com/cn/book/9783642390098

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 Journals

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Fract. Calc. Appl. Anal.

 http://www.degruyter.com/view/j/fca

New issue published online: Vol. 18, No. 2, 2015

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Physics Letters A

Comments on “The Minkowski's space–time is consistent with differential geometry of fractional order” [Phys. Lett. A 363 (2007) 5–11]

Vasily E. Tarasov

Dimensionality effect on two-electron energy spectrum: A fractional-dimension-based formulation

R. Correa, W. Gutiérrez, I. Mikhailov, M.R. Fulla, J.H.Marin                                                                                                       

An efficient method for solving fractional Hodgkin–Huxley model

A.M. Nagy, N.H. Sweilam

Fractional-order formulation of power-law and exponential distributions

A. Alexopoulos, G.V. Weinberg

Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton–phonon dynamics

Alain Mvogo, G.H. Ben-Bolie, T.C. Kofané

Discrete chaos in fractional sine and standard maps

Ali Nassar

Complex-valued fractional statistics for D-dimensional harmonic oscillators

Andrij Rovenchak

A mixed SOC-turbulence model for nonlocal transport and Lévy-fractional Fokker–Planck equation

Alexander V. Milovanov, Jens Juul Rasmussen

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Nonlinear Dynamics

 Vol. 80, No. 1-2 (selected)

Adaptive sliding-mode control for fractional-order uncertain linear systems with nonlinear disturbances

Liping Chen, Ranchao Wu, Yigang He, Yi Chai

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

H. Bhrawy, M. A. Zaky

Formulation and solution of space–time fractional Boussinesq equation

S. A. El-Wakil, Essam M. Abulwafa

Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system

P. Balasubramaniam, P. Muthukumar, K. Ratnavelu

Discrete fractional diffusion equation

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

Dissipativity and contractivity for fractional-order systems

Dongling Wang, Aiguo Xiao

Invariant analysis of nonlinear fractional ordinary differential equations with Riemann–Liouville fractional derivative

T. Bakkyaraj, R. Sahadevan

Nonlinear analysis of energy harvesting systems with fractional order physical properties

A. Kitio Kwuimy, G. Litak, C. Nataraj

The adaptive synchronization of fractional-order chaotic system with fractional-order 1<q<2 via linear parameter update law

Ping Zhou, Rongji Bai

Fractional-order delayed predator–prey systems with Holling type-II functional response

F. A. Rihan, S. Lakshmanan, A. H. Hashish, R. Rakkiyappan, E. Ahmed

Conservation laws for time-fractional subdiffusion and diffusion-wave equations

Stanislav Yu. Lukashchuk

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Communications in Nonlinear Science and Numerical Simulation

(selected)

Non-standard extensions of gradient elasticity: Fractional non-locality, memory and fractality

Vasily E. Tarasov, Elias C. Aifantis

Dynamical behavior of fractional-order Hastings–Powell food chain model and its discretization

A.E. Matouk, A.A. Elsadany, E. Ahmed, H.N. Agiza

A new approach on fractional variational problems and Euler–Lagrange equations

F. Bahrami, H. Fazli, A. Jodayree Akbarfam

Fractional-order formulation of power-law and exponential distributions

A. Alexopoulos, G.V. Weinberg

Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

Manuel A. Duarte-Mermoud, Norelys Aguila-Camacho, Javier A. Gallegos, Rafael Castro-Linares

Existence of weak solutions for a fractional Schrödinger equation

Jiafa Xu, Zhongli Wei, Wei Dong

Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind

A. Ben Hmed, M. Amairi, M. Aoun

Lie group analysis method for two classes of fractional partial differential equations

Cheng Chen, Yao-Lin Jiang

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Sediment tracers moving as bed load can exhibit anomalous dispersion behavior deviating from Fickian diffusion. The presence of heavy-tailed resting time distributions and thin-tailed step length distributions motivate adoption of fractional-derivative models (FDMs) to describe sediment dispersion, but these models require many parameters that are difficult to quantify. Here we propose a considerably simplified FDM for anomalous transport of uniformly sized grains along straight channels, the subordinated advection equation (SAE), which is based on the concept of time subordination. Unlike previous FDM models with time index g between 0 and 1, our SAE model adopts a value of g between 1 and 2. This g describes random velocities deviating significantly from the mean velocity and models both long resting periods and relatively fast displacements. We show that the model quantifies the dynamics of four bed load transport experiments recorded in the literature. In addition to g, SAE model parameters—velocity and capacity coefficient—are related to the mean and variance of particle velocities, respectively. Successful application of the SAE model also implies a universal probability density for the heavy-tailed waiting time distribution (with finite mean) and a relatively lighter tailed step length distribution for uniform bed load transport from local to regional scales.

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The paper makes the first attempt at applying the Kansa method, a radial basis function meshless collocation method, to the space-fractional advection–dispersion equations, which have recently been observed to accurately describe solute transport in a variety of field and lab experiments characterized by occasional large jumps with fewer parameters than the classical models of integer-order derivative. However, because of non-local property of integro-differential operator of space-fractional derivative, numerical solution of these novel models is very challenging and little has been reported in literature. It is stressed that local approximation techniques such as the finite element and finite difference methods lose their sparse discretization matrix due to this non-local property. Thus, the global methods appear to have certain advantages in numerical simulation of these non-local models because of their high accuracy and smaller size resultant matrix equation. Compared with the finite difference method, popular in the solution of fractional equations, the Kansa method is a recent meshless global technique and is promising for high-dimensional irregular domain problems. In this study, the resultant matrix of the Kansa method is accurately calculated by the Gauss–Jacobi quadrature rule. Numerical results show that the Kansa method is highly accurate and computationally efficient for space-fractional advection–dispersion problems.