FDA Express

FDA Express    Vol. 14, No. 1, Jan. 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_Vol14_No1_2015.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on 15th January 2015)

  Call for papers

Symposium on Fractional Calculus: Theory and Applications

Symposium on Computational fractional dynamic systems and its applications

◆  Books

Stochastic Calculus for Fractional Brownian Motion and Applications

◆  Journals

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Journal of Functional Analysis

  Paper Highlight

A fourth-order compact ADI scheme for Two-dimensional nonlinear space fractional Schrodinger equation

A survey on fractional-order iterative learning control

  Websites of Interest

Fractional Calculus & Applied Analysis

 

 

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 Latest SCI Journal Papers on FDA

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(Searched on 15th Januray 2015)

 

 


Higher-Order-Statistics-Based Fractal Dimension for Noisy Bowel Sound Detection

By: Sheu, Ming-Jen; Lin, Ping-Yi; Chen, Jen-Yin; et al.

IEEE SIGNAL PROCESSING LETTERS  Volume: 22   Issue: 7   Pages: 789-793   Published: JUL 2015

 

Counterexamples on Jumarie's two basic fractional calculus formulae

By: Liu, Cheng-shi

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 92-94   Published: MAY 2015

 

Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps

By: Wu, Guo-Cheng; Baleanu, Dumitru

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 95-100   Published: MAY 2015 

 

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

By: Tarasov, Vasily E.; Aifantis, Elias C.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 197-227   Published: MAY 2015

 

Pseudo Phase Plane and Fractional Calculus modeling of western global economic downturn

By: Tenreiro Machado, J. A.; Mata, Maria Eugenia

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 396-406   Published: MAY 2015

 

Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia

By: Popovic, Jovan K.; Spasic, Dragan T.; Tosic, Jela; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 451-471   Published: MAY 2015

 

A mathematical model of dengue transmission with memory

By: Sardar, Tridip; Rana, Sourav; Chattopadhyay, Joydev

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 511-525   Published: MAY 2015

 

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

By: Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 650-659   Published: MAY 2015

 

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

By: Ben Hmed, A.; Amairi, M.; Aoun, M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 842-865   Published: MAY 2015

 

Laminar flow through fractal porous materials: the fractional-order transport equation

By: Alaimo, Gianluca; Zingales, Massimiliano

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 889-902   Published: MAY 2015

 

From a generalised Helmholtz decomposition theorem to fractional Maxwell equations

By: Ortigueira, Manuel D.; Rivero, Margarita; Trujillo, Juan J.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 1036-1049   Published: MAY 2015

 

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Call for Papers

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Symposium on Fractional Calculus: Theory and Applications

------An International Conference on Nonlinear Dynamics and Complexity,11-15 May 2015, La Manga, Spain

http://ndc.lhscientificpublishing.com/

 

The symposium is to cover a broad scope of fractional order systems. The fundamental theory and applications in mathematics, physics, and engineering are welcome. Manuscripts are solicited in the following topics but not restricted to:


The Conference website is http://ndc.lhscientificpublishing.com/

For your convenience, we are attaching the first Call for Papers. The authors are encouraged to present a paper for publication in the edited books or conference Proceedings. A regular issue of the journal International Journal of Bifurcation and Chaos (IJBC), JCR 2013:1.017, under the Theme issue: "Nonlinear Dynamics and Complexity". The conference will recommend too some other papers for journal publication and edited books. The authors are encourage to present a paper for publication in the edited book. The high quality papers will be selected for publication in Journal of Applied Nonlinear Dynamics and An interdisciplinary Journal of Discontinuity, Nonlinearity and Complexity (this selection is apart from the one to IJBC,see the Type of participation & Paper submission section).We look forward to hearing from you as soon as possible.

Paper Planning Schedule - Important Dates

Deadline for Draft Papers Submission January 31, 2015
Notification of acceptance: February 28, 2015
Conference date: May 11-15, 2015.
 

Email submission as a pdf file attachment is acceptable. Please transmit papers to the following organizers
or submit it through the conference website: http://ndc.lhscientificpublishing.com/

 

Symposium Organizers:

J. A. Tenreiro Machado
Institute of Engineering, Polytechnic of
Porto
Dept. of Electrical Engineering
Rua Dr. Antonio Bernardino de
Almeida, 431
4200-072 Porto, Portugal
Email: jtenreiromachado@gmail.com

Cristina I. Muresan
Technical University of Cluj-Napoca
Dept. of Automation
Memorandumului St., 28
100114, Cluj-Napoca, Romania
Email: Cristina.Pop@aut.utcluj.ro

Manuel Duarte Ortigueira
UNINOVA and DEE
Faculdade de Ciências e Tecnologia
da UNL
Campus da FCT, Quinta da Torre
2829-516 Caparica Portugal
Email: mdo@fct.unl.pt

 

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Symposium on 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

Important Dates

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

Lead Organizer
Name Professor Fawang Liu
Affiliation School of Mathematical Sciences, Queensland University of Technology, GPO Box2434 Brisbane Qld.4001 Australia
Phone # 61-07-31381329 (QUT) or 61-(0)410036297 (mobile)
E-mail f.liu@qut.edu.au

 

Co-Organizer
Name Prof. HongGuang Sun
Affiliation Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing, China
Phone #  
E-mail shg@hhu.edu.cn

 

We look forward to seeing you at the conference.

 

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Books

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Stochastic Calculus for Fractional Brownian Motion and Applications

Francesca Biagini, Yaozhong Hu, Bernt Øksendal, Tusheng Zhang

Book Description

The purpose of this book is to explain this in detail and to give applications of the resulting theory. More precisely, we will investigate the main approaches used to develop a stochastic calculus for fBm and their relations.We also give some applications, including discussions of the (sometimes controversial) use of fBmin finance, stochastic partial differential equations, stochastic optimal, control and local time for fBm.

More information on this book can be found by the following link: http://www.springer.com/mathematics/probability/book/978-1-85233-996-8?token=gbgen&wt_mc=Google-_-Book+Search-_-Springer-_-EN&otherVersion=978-1-84628-797-8

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 Journals

 

 

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Annales de l'Institut Henri Poincare (C) Non Linear Analysis

 (selected)

 

Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations

Kyudong Choi, Alexis F. Vasseur

A critical fractional equation with concave–convex power nonlinearities

B.Barrios,E.Colorado,R.Servadei,F.Soria                                                                                                        

Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian

Changfeng Gui, Mingfeng Zhao

Large solutions to elliptic equations involving fractional Laplacian

Huyuan Chen, Patricio Felmer, Alexander Quaas

Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

Xavier Cabré, Yannick Sire

Entropy solution theory for fractional degenerate convection–diffusion equations

Simone Cifani, Espen R. Jakobsen

Minimization of a fractional perimeter-Dirichlet integral functional

Luis Caffarelli, Ovidiu Savin, Enrico Valdinoci

Regularity in a one-phase free boundary problem for the fractional Laplacian

D. De Silva, J.M. Roquejoffre

Continuous dependence for NLS in fractional order spaces

Thierry Cazenave, Daoyuan Fang, Zheng Han

Comparison results and steady states for the Fujita equation with fractional Laplacian

Matthias Birkner, José Alfredo López-Mimbela, Anton Wakolbinger


 

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Journal of Functional Analysis

(selected)

 

Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian

Woocheol Choi, Seunghyeok Kim, Ki-Ahm Lee

Optimal regularity of solutions to the obstacle problem for the fractional Laplacian with drift

Arshak Petrosyan, Camelia A. Pop

Cauchy problems for fractional differential equations with Riemann–Liouville fractional derivatives

Kexue Li, Jigen Peng, Junxiong Jia

Nonexistence results for a class of fractional elliptic boundary value problems

Mouhamed Moustapha Fall, Tobias Weth

Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result

Yannick Sire, Enrico Valdinoci

Semilinear fractional elliptic equations with gradient nonlinearity involving measures

Huyuan Chen, Laurent Véron

Fractional Poincaré and logarithmic Sobolev inequalities for measure spaces

Philip T. Gressman

Regularity theory for the fractional harmonic oscillator

Pablo Raúl Stinga, José Luis Torrea

A quantitative isoperimetric inequality for fractional perimeters

Nicola Fusco, Vincent Millot, Massimiliano Morini

Eigenvalues of the fractional Laplace operator in the interval

Mateusz Kwaśnicki
 

 

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 Paper Highlight
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A fourth-order compact ADI scheme for Two-dimensional nonlinear space fractional Schrodinger equation

Xuan Zhao, Zhi-Zhong Sun, Zhao-Peng Hao

Publication information: Xuan Zhao, Zhi-Zhong Sun, And Zhao-Peng Hao. A fourth-order compact ADI scheme for Two-dimensional nonlinear space fractional Schrodinger equation. SIAM J. SCI. COMPUT., 2014, 36(6), A2865–A2886.

http://www.siam.org/journals/sisc/36-6/96156.html

 

Abstract

In this paper, a novel compact operator is derived for the approximation of the Riesz derivative with order a∈(1, 2]. The compact operator is proved with fourth-order accuracy. Combining the compact operator in space discretization, a linearized difference scheme is proposed for a two-dimensional nonlinear space fractional Schrodinger equation. It is proved that the difference scheme is uniquely solvable, stable, and convergent with order O(t^2 + h^4), where t is the time step size, h = max{h1, h2}, and h1, h2 are space grid sizes in the x direction and the y direction, respectively. Based on the linearized difference scheme, a compact alternating direction implicit scheme is presented and analyzed. Numerical results demonstrate that the compact operator does not bring in extra computational cost but improves the accuracy of the scheme greatly.

 

 

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A survey on fractional-order iterative learning control

Yan Li, YangQuan Chen, Hyo-Sung Ahn, Guohui Tian

Publication information: Yan Li, YangQuan Chen, Hyo-Sung Ahn, Guohui Tian, A survey on fractional-order iterative learning control, Journal of Optimization Theory and Applications, 2013, 156(1), 127-140.

http://link.springer.com/article/10.1007/s10957-012-0229-9

 

Abstract

In this paper, an overview of fractional-order iterative learning control (FOILC) is presented including main developments of this field since 2001. Many theoretical and experimental results are provided to show the advantages of FOILC such as the improvement of transient and steady-state performances. Some unique characters of fractional-order operators are illustrated to show the new features and techniques of FOILC. A number of unsolved problems are briefly presented.

 

 

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