FDA Express

FDA Express    Vol. 14, No. 2, Feb. 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_No2_2015.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on 15th February 2015)

  Call for papers

Special Issue on Computational Fractional Dynamics: Systems and Applications

Special Issue on Fractional Calculus and Applications

Symposium-Computational fractional dynamic systems and its applications

◆  Books

Fractional Analysis

◆  Journals

Fract. Calc. Appl. Anal. – Free Open Access and New DG Website

Fuzzy Sets and Systems

Stochastic Processes and their Applications

  Paper Highlight

A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations

Discrete fractional diffusion equation

  Websites of Interest

Fractional Calculus & Applied Analysis

 

 

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 Latest SCI Journal Papers on FDA

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(Searched on 15th February 2015)

 

 


 


Arnoldi-based model reduction for fractional order linear systems

By: Jiang, Yao-Lin; Xiao, Zhi-Hua

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE  Volume: 46   Issue: 8   Pages: 1411-1420   Published: JUN 11 2015


L-q-EXTENSIONS OF L-p-SPACES BY FRACTIONAL DIFFUSION EQUATIONS

By: Chang, Der-Chen; Xiao, Jie

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  Volume: 35   Issue: 5   Pages: 1905-1920   Published: MAY 2015


LOCAL INTEGRATION BY PARTS AND POHOZAEV IDENTITIES FOR HIGHER ORDER FRACTIONAL LAPLACIANS

By: Ros-Oton, Xavier; Serra, Joaquim

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  Volume: 35   Issue: 5   Pages: 2131-2150   Published: MAY 2015


Fuzzy fractional functional differential equations under Caputo gH-differentiability

By: Ngo Van Hoa

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  Volume: 22   Issue: 1-3   Pages: 1134-1157   Published: MAY 2015


High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation

By: Chen, S.; Jiang, X.; Liu, F.; et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 278   Pages: 119-129   Published: APR 15 2015


Analytical Fractal Model for Calculating Effective Thermal Conductivity of the Fibrous Porous Materials

By: Kan, An-Kang; Cao, Dan; Zhang, Xue-Lai

JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY  Volume: 15   Issue: 4   Pages: 3200-3205   Published: APR 2015


Modelling African inflation rates: nonlinear deterministic terms and long-range dependence

By: Caporale, Guglielmo Maria; Carcel, Hector; Gil-Alana, Luis A.

APPLIED ECONOMICS LETTERS  Volume: 22   Issue: 5   Pages: 421-424   Published: MAR 24 2015


Stress relaxation behavior of starch powder-epoxy resin composites

By: Papanicolaou, George C.; Kontaxis, Lykourgos C.; Koutsomitopoulou, Anastasia F.; et al.

JOURNAL OF APPLIED POLYMER SCIENCE  Volume: 132   Issue: 12     Article Number: 41697   Published: MAR 20 2015


Strang-type preconditioners for solving fractional diffusion equations by boundary value methods

By: Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Xi-Le; et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 277   Pages: 73-86   Published: MAR 15 2015

 

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Call for Papers

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Special Issue on Computational Fractional Dynamics: Systems and Applications

------In the journal of “Advances in Mathematical Physics”

http://www.hindawi.com/journals/amp/si/960851/cfp/

Call for Papers

In recent years, the need to understand complex materials and processes has stimulated a growing interest in dynamical systems described by fractional differential equations. This interest spans the works of many authors from various fields of science and engineering. Fractional differential equations help in the computational modeling of complex systems by interpolating between the integer order of ordinary differential equations to capture nonlocal relations in space and time using power law memory kernels. Intense work around the world is uncovering new ways (theoretical and numerical) for solving fractional dynamic systems.

Here we invite authors to submit original research articles and reviews that will contribute to the field of computational fractional dynamical systems and their applications.

This special issue -- Computational Fractional Dynamics: Systems and Applications -- will become an international forum for researchers to present the most recent developments and ideas in the field.  Advances in Mathematical Physics is published using an open access publication model, meaning that all interested readers are able to freely access the journal online at http://www.hindawi.com/journals/amp/ without the need for a subscription. The most recent Impact Factor for Advances in Mathematical Physics is 0.532 according to 2013 Journal Citation Reports released by Thomson Reuters (ISI) in 2014.

Potential topics This special issue – include, but are not limited to:

 

·         Mathematical models of fractional dynamical systems

·         Theoretical analysis of fractional dynamical systems

·         Numerical methods for fractional dynamical systems

·         Fractional image processing

·         Bifurcation and chaos of fractional differential systems

·         Fractional stochastic dynamical systems

·         Fractional controller design and system identification

·         Fractional order models and their experimental verifications, and applications

 

Before submission authors should carefully read the journal’s author guidelines, which are located at http://www.hindawi.com/journals/amp/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/login according to the following timetable:

 

Manuscript Due June 19, 2015
Final Decision Date September 11, 2015
Publication Date November 06, 2015

 

Lead Guest Editor

Fawang Liu, School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, QLD 4001, Australia; f.liu@qut.edu.au

 

Guest Editors

Richard L . Magin, Department of Bioengineering, University of Illinois,  851 South Morgan Street, Chicago, IL 60607, USA;  rmagin@uic.edu.

Changpin Li, Department of Mathematics, Shanghai University, Shanghai 200444, China; lcp@shu.edu.cn.

Hong Wang, Department of Mathematics, University of South Carolina, USA; hwang@math.sc.edu.

HongGuang Sun, Department of Engineering Mechanics, Hohai University, Nanjing, China; shg@hhu.edu.cn.

 

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Special Issue on Fractional Calculus and Applications

----- In the journal of “Journal of King Saud University: Science”

http://www.journals.elsevier.com/journal-of-king-saud-university-science/

 

Call for papers

Journal of King Saud University: Science is pleased to announce a call for papers for a special issue on Fractional Calculus and Applications. The significance of the fractional calculus has been demonstrated in various contexts; for example in elasticity, continuum mechanics, quantum mechanics, signal analysis, and some other branches of pure and applied mathematics like nonlinear analysis and nonlinear dynamics.

The main aim of this special issue is to focus on recent and novel developments and achievements in the theory of fractional calculus and its applications. Papers in the following topics are welcome:

     Fractional calculus with applications in mathematical physics

     Fractional calculus models in solid mechanics and fluid mechanics

     Fractional order signal analysis

     Fractional dynamics systems

     Analytical and numerical methods for fractional ODEs, PDEs, integral equations and integro-differential equations with linear or nonlinear term

     Analytical and numerical methods for fractional stochastic differential equations

     Fractional integral transforms and applications

     Local fractional calculus operator and applications

     Mixed fractional calculus and their applications

     Fractals and related topics.

This list is indicative rather than exhaustive. Interested authors are encouraged to contact the Guest Editors with additional suggestions within the domain of this broad research area.

Xiao-Jun Yang (Guest Editor in Chief)

Department of Mathematics and Mechanics,

China University of Mining and Technology, Xuzhou 221008, China

Dr. Syed Tauseef Mohyud-Din (Guest Associate Editor)

Faculty of Sciences,

HITEC University, Taxila Pakistan

Dr. Carlo Cattani (Guest Associate Editor)

Department of Mathematics,

University of Salerno, Fisciano, Italy

Dr. Carlo Bianca (Guest Associate Editor)

Laboratoire de Physique Théorique de la Matière Condensée,

Sorbonne UPMC Paris, France

Dr. Adem Kilicman (Guest Associate Editor)

Department of Mathematics and Institute for Mathematical Research,

University Putra Malaysia, Malaysia. 

Journal of King Saud University: Science accepts ‘‘Full Length Original Research, Review Articles, Short Communications and Letters to Editors’’ in the special issue. All papers submitted for consideration in the special issue will be subjected to blind peer review by relevant academics and researchers.

Important Dates:

Closing date for submissions: July 15, 2015

Peer review done: No later than Aug. 1, 2015

Revisions done: No later than Sep. 1, 2015

Notification of acceptance: No later than Oct. 1, 2015

Manuscripts finally accepted: No later than Nov. 1, 2015

Galley proof approved by authors: No later than Nov. 15, 2015

Publication date: January 1, 2016

Submissions to the special issue are made using Elsevier Editorial System (EES), the online manuscript submission and tracking system. Registration and access are available at:http://ees.elsevier.com/jksus/default.asp

For detailed ‘Author Guidelines’ and further information on the journal, please click here.

http://www.elsevier.com/locate/inca/722784/authorinstructions

Any questions?

If you have any questions, please contact:

Dr. Xiao-Jun Yang E-mail: dyangxiaojun@aol.com; dyangxiaojun@163.com

Dr. Syed Tauseef Mohyud-Din E-mail: syedtauseefs@hitecuni.edu.pk

Dr. Carlo Cattani E-mail: ccattani@unisa.it

Dr. Carlo Bianca E-mail: bianca@lptl.jussieu.fr

Dr. Adem Kilicman E-mail: akilic@upm.edu.my

For submission related queries and other related assistance:

Dr. Rizwan Irshad: rirshad@ksu.edu.sa

 

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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

 

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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Fractional Analysis

Igor V. Novozhilov

Book Description

The book is to fill the gap between mathematical formalism and applications. Hence emphasis is on examples, mainly from the mechanics of controlled motion. In them, the whole cycle of fractional analysis is performed, from writing initial equations and introducing small parameters to constructing models and estimating their accuracy. The author's own results on construction and analysis of approximate mathematical models in the mechanics of gyroscopes, transport, robots, and the like, are presented.

More information on this book can be found by the following link: http://link.springer.com/book/10.1007/978-1-4612-4130-0

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 Journals

 

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Fract. Calc. Appl. Anal. – Free Open Access and New DG Website

 Contributed by Prof. Virginia Kiryakova

 

At the new De Gruyter (DG) website for the journal Fractional Calculus and Applied Analysis: http://www.degruyter.com/view/j/fca  at the menu READ CONTENT, there is free Open Access to all papers published in: Vol. 14 (2011), Vol. 15 (2012), Vol. 16 (2013) and partly Vol. 17 (2014, No 2 and No 3) that were published earlier at SpringerLink http://link.springer.com/journal/13540 and accessible under subscription or pay-per-view.

Very soon, the first issue No 1 of Vol. 18 under DG as publisher will appear there.

We kindly invite you to visit the new journal's website and read the mentioned stuff. Please, always refer to these papers as published in: Fractional Calculus and Applied Analysis (Fract. Calc. Appl. Anal.), Vol. .,No .. (year), pp. .; DOI: ...

Along with this, the Editorial Board need to inform the potential authors about the enormously great number of waiting submissions.
 

Virginia Kiryakova, Editor-in-Chief

 

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Fuzzy Sets and Systems

 (selected)

 

Random fuzzy fractional integral equations – theoretical foundations

Marek T. Malinowski

Fractional calculus for interval-valued functions

Vasile Lupulescu             

CMOS fuzzy logic controller supporting fractional polynomial membership functions

Majid Mokarram, Abdollah Khoei, Khayrollah Hadidi

Fuzzy fractional functional integral and differential equations

Van Hoa Ngo

Comment on “Fuzzy mathematical programming for multi objective linear fractional programming problem”

Bogdana Stanojević, Milan Stanojević


 

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Stochastic Processes and their Applications

(selected)

 

Fractional time stochastic partial differential equations

Zhen-Qing Chen, Kyeong-Hun Kim, Panki Kim

Varadhan estimates for rough differential equations driven by fractional Brownian motions

Fabrice Baudoin, Cheng Ouyang, Xuejing Zhang

A fractional Brownian field indexed by L2 and a varying Hurst parameter

Alexandre Richard

On the Tanaka formula for the derivative of self-intersection local time of fractional Brownian motion

Paul Jung, Greg Markowsky

Cylindrical fractional Brownian motion in Banach spaces

E. Issoglio, M. Riedle

 

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 Paper Highlight
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A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations

Hong Wang, Xuhao Zhang

Publication information: Hong Wang, Xuhao Zhang, A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations, Journal of Computational Physics, 2015, 281, 67-81.

http://www.sciencedirect.com/science/article/pii/S0021999114007001

 

Abstract

Fractional diffusion equations were shown to provide an adequate and accurate description of transport processes exhibiting anomalous diffusion behavior. Recently, spectral Galerkin methods were developed for space-fractional diffusion equations aiming at achieving exponential convergence. An optimal order error estimate in the fractional energy norm was proved under the assumption that the true solution to the fractional diffusion equation has the desired regularity. An optimal order error estimate in the L2 norm was proved via the well known Nitsche lifting technique under the assumption that the true solution to the corresponding boundary-value problem of the fractional diffusion equation has the required regularity for each right-hand side.

 

In this paper we show that the true solution to the Dirichlet boundary-value problem of a conservative fractional diffusion equation of order 2−β with 0<β<1 as well as a constant diffusivity coefficient and a constant source term is not in the fractional Sobolev space H3/2−β in general, but is still in the Besov space . Hence, the provable convergence rate of a spectral Galerkin method in the L2 norm is at most of the order O(N−(3/2−β)), where N is the degree of the polynomial space in the numerical method. Numerical experiments show that the spectral Galerkin method exhibits a subquadratic convergence in theL2 norm for any 0<β<1.

 

We develop a high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of one-sided variable-coefficient conservative fractional diffusion equations. The method has a proved high-order convergence rate of arbitrary order (i) without requiring the smoothness of the true solution u to the given boundary-value problem, but only assuming that the diffusivity coefficient and the right-hand source term have the desired regularity; (ii) for a variable diffusivity coefficient; and (iii) for an inhomogeneous Dirichlet boundary condition. Numerical experiments substantiate the theoretical analysis and show that the method exhibits exponential convergence provided the diffusivity coefficient and the right-hand source term have the desired regularity.

 

 

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Discrete fractional diffusion equation

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

Publication information: Guo-Cheng Wu, Dumitru Baleanu, Sheng-Da Zeng, Zhen-Guo Deng. Discrete fractional diffusion equation. Nonlinear Dyn. DOI 10.1007/s11071-014-1867-2.

http://link.springer.com/article/10.1007/s11071-014-1867-2

 

Abstract

The tool of the discrete fractional calculus is introduced to discrete modeling of diffusion problem. A fractional time discretization diffusion model is presented in the Caputo-like delta’s sense. The numerical formula is given in form of the equivalent summation. Then, the diffusion concentration is discussed for various fractional difference orders. The discrete fractional model is a fractionization of the classical difference equation and can be more suitable to depict the random or discrete phenomena compared with fractional partial differential equations.

 

 

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The End of This Issue

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