FDA Express

FDA Express    Vol. 14, No. 3, Mar. 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_No3_2015.pdf

↑  Latest SCI Journal Papers on FDA

(Searched on 15th March 2015)


International Conference on Fractional Differentiation and its Applications 2016

41th International Conference Applications of Mathematics in Engineering and Economics 2015

  Call for papers

A Special Issue in International Journal of Control

Special Issue Complex and Fractional Dynamics of Entropy (ISSN 1099-4300)

↑  Books

Fractional Calculus

↑  Journals

Fract. Calc. Appl. Anal.

Special Issue on Recent Advances in Fractional Differential Equations


Physica A: Statistical Mechanics and its Applications

  Paper Highlight

A relative entropy method to measure non-exponential random data

Fractional diffusion on bounded domains

  Websites of Interest

Fractional Calculus & Applied Analysis


 Latest SCI Journal Papers on FDA


(Searched on 15th March 2015)

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

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

A Review of Thermal Conductivity Models for Nanofluids

By: Aybar, Hikmet S.; Sharifpur, Mohsen; Azizian, M. Reza; et al.

HEAT TRANSFER ENGINEERING  Volume: 36   Issue: 13   Pages: 1085-1110   Published: SEP 2 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

On Gruss Type Integral Inequality Involving the Saigo's Fractional Integral Operators

By: Baleanu, D.; Purohit, S. D.; Ucar, F.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 3   Pages: 480-489   Published: SEP 2015

Lower order Fractional Monotone Approximation

By: Anastassiou, George A.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 3   Pages: 518-525   Published: SEP 2015

Solving fuzzy fractional partial differential equations by fuzzy Laplace-Fourier transforms

By: Khodadadi, Ekhtiar; Karabacak, Mesut

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 2   Pages: 260-271   Published: AUG 2015


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

On some self-adjoint fractional finite difference equations

By: Baleanu, Dumitru; Rezapour, Shahram; Salehi, Saeid

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 1   Pages: 59-67   Published: JUL 2015

Global Dynamics of a Certain Two-dimensional Competitive System of Rational Difference Equations with Quadratic Terms

By: Kulenovic, M. R. S.; Pilling, M.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 19   Issue: 1   Pages: 156-166   Published: JUL 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

Existence results for nonlinear fractional integrodifferential equations with antiperiodic type integral boundary conditions

By: Zuo, Xiaohong; Yang, Wengui

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 18   Issue: 6   Pages: 1065-1076   Published: JUN 2015





International Conference on Fractional Differentiation and its Applications 2016


------ ICFDA &16, 18-20 July 2016, Novi Sad, Serbia -------

 ㄗContributed by Prof.
Virginia Kiryakova )

Dear Colleagues,

Please note the place and time for the next ICFDA, so you can plan in advance your participation. Soon a website for this event will be prepared and details will  be given by the local organizers Teodor Atanackovic and Dragan Spasic.



41th International Conference "Applications of Mathematics in Engineering and Economics 2015"

------ AMEE 2015, 8-23 June 2015, Sozopol, Bulgaria -------


The main goal of the series of AMEE conferences is to bring together established experts and young scientists from Bulgaria and from abroad to discuss the modern trends and to exchange views on various applications of mathematics in engineering, physics, economics, biology, etc. The peer-reviewed proceedings of previous AMEE '11,12,13,14 were published in American Institute of Physics Conference Proceedings (last one as Vol. #1631, 2014), indexed in Scopus with SJR = 0.163, and so will be for AMEE'15.

The Program Committee stimulates organizing special sessions as well as discussions concerning the development and use of software innovations in the scientific computing and the student training in this area. We can possibly organize some mini-session, related to FDA topics. At earlier AMEE's  there were special sessions on integral transforms and special functions, partial differential equations and applications, applied analysis.

I use this occasion to attract your attention to this conference in Bulgaria at a very good place 每 combining a Black Sea resort with sunny beaches (and the June time is good one to enjoy),  ancient city with Byzantine buildings from the 10-14th centuries,  old Bulgarian architecture and unique archeological findings, and tasty national cuisine. The (small) town of Sozopol is in the top 3 of the most desirable tourist destinations on the planet (2015) - it was nominated by the World Council for Tourism destination of 2015 and defeated other 158 entries from across the World in the category, selected as one of 3 finalists in competition with Slovenian capital Ljubljana and North-east coast of Taiwan.

 The interested participants in possible ``FDA 每 Integral Transforms and Special Functions - Applied Analysis** mini-session are pleased to contact me personally, so we can plan it in April (Abstract submission deadline is April 30).

Sincerely yours, Virginia Kiryakova (Member of International Program Committee), virginia@diogenes.bg (subject AMEE 15)



Call for Papers


A Special Issue in

International Journal of Control


Special Issue Title

※Applied Fractional Calculus in Modeling, Analysis and Design of Control Systems§

(Contributed by Prof. Y.Q. Chen)

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 )



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)

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



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


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.



Special Issue "Complex and Fractional Dynamics" of Entropy (ISSN 1099-4300)


(Contributed by Prof. J. A. Tenreiro Machado)

Deadline for manuscript submission: 30 November 2015

Special Issue Editors

Guest Editor
Prof. Dr. J. A. Tenreiro Machado
Department of Electrical Engineering, Institute of Engineering, Polytechnic Institute of Porto, Porto, Portugal
Website: http://ave.dee.isep.ipp.pt/~jtm/
E-Mail: jtenreiromachado@gmail.com
PHONE: +351 22 8340500
Fax: +351 22 8321159
Interests: nonlinear dynamics; fractional calculus; modeling; control; evolutionary computing; genomics; robotics; and intelligent transportation systems

Guest Editor
Prof. Dr. Ant車nio M. Lopes
Institute of Mechanical Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, Porto, Portugal
E-Mail: aml@fe.up.pt
PHONE: +351 22 5081758
Fax: +351 22 5081445
Interests: complex systems; nonlinear dynamics; robotics; control; fractional calculus; simulation

Special Issue Information

Dear Colleagues,

Complex systems are pervasive in many areas of science and we find them everyday and everywhere. Examples include financial markets, highway transportation networks, telecommunication networks, world and country economies, social networks, immunological systems, living organisms, computational systems, and electrical and mechanical structures. Complex systems are often composed of large numbers of interconnected and interacting entities exhibiting much richer global scale dynamics than can be inferred from the properties and behavior of individual entities. Complex systems are studied in many areas of natural sciences, social sciences, engineering, and mathematical sciences.

This Special Issue focuses on original and new research results concerning systems dynamics in science and engineering. Manuscripts regarding complex dynamical systems, nonlinearity, chaos, and fractional dynamics in the thermodynamics or information processing perspectives are solicited. We welcome submissions addressing novel issues, as well as those on more specific topics that illustrate the broad impact of
entropy-based techniques in complexity, nonlinearity, and fractionality.

Papers should fit the scope of the journal Entropy and topics of interest include (but are not limited to):
- Complex dynamics- Nonlinear dynamical systems
- Advanced control systems
- Fractional calculus and its applications
- Evolutionary computing
- Finance and economy dynamics
- Fractals and chaos
- Biological systems and bioinformatics
- Nonlinear waves and acoustics
- Image and signal processing
- Transportation systems
- Geosciences
- Astronomy and cosmology
- Nuclear physics

Prof. Dr. J. A. Tenreiro Machado
Prof. Dr. Ant車nio M. Lopes
Guest Editors


Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the
deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed Open Access monthly
journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs).


complex systems
fractional calculus





Fractional Calculus

R. Herrmann

Book Description

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types.

It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.

More information on this book can be found by the following link: http://www.worldscientific.com/worldscibooks/10.1142/8934





Fract. Calc. Appl. Anal.


New issue published online: Vol. 18, No. 1, 2015




Special Issue on "Recent Advances in Fractional Differential Equations"

in Applied Mathematics and Computation, 257(2015), 1-602


Edited by Prof.Yong Zhou





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

Vasily E. Tarasov

Fractional quantum Hall states as an Abelian group

Ali Nassar

Wavelets method for the time fractional diffusion-wave equation

M.H. Heydari, M.R. Hooshmandasl, F.M. Maalek Ghaini, C. Cattani

Corrigendum to ※From fractional exclusion statistics back to Bose and Fermi distributions§ [Phys. Lett. A 377 (2013) 2922]

Dragoş-Victor Anghel

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每phonon dynamics

Alain Mvogo, G.H. Ben-Bolie, T.C. Kofan谷

Finite-time stability analysis of fractional-order neural networks with delay

Xujun Yang, Qiankun Song, Yurong Liu, Zhenjiang Zhao

An efficient method for solving fractional Hodgkin每Huxley model

A.M. Nagy, N.H. Sweilam

A mixed SOC-turbulence model for nonlocal transport and L谷vy-fractional Fokker每Planck equation

Alexander V. Milovanov, Jens Juul Rasmussen

Discrete chaos in fractional sine and standard maps

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



Physica A: Statistical Mechanics and its Applications


Synchronization of fractional order complex dynamical networks

Yu Wang, Tianzeng Li

Fractional correlation functions in simple viscoelastic liquids


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

Wenping Fan, Xiaoyun Jiang, Haitao Qi

Exact solution to fractional logistic equation

Bruce J. West

Fractional Liouville equation on lattice phase-space

Vasily E. Tarasov

Probabilistic characterization of nonlinear systems under image-stable white noise via complex fractional moments

G. Alotta, M. Di Paola

No-arbitrage, leverage and completeness in a fractional volatility model

R. Vilela Mendes, M.J. Oliveira, A.M. Rodrigues

Group analysis and exact solutions of the time fractional Fokker每Planck equation

M.S. Hashemi

Exact solutions of a modified fractional diffusion equation in the finite and semi-infinite domains

Gang Guo, Kun Li, Yuhui Wang

Quantum probes for fractional Gaussian processes

Matteo G.A. Paris



 Paper Highlight

A relative entropy method to measure non-exponential random data

YingjieLiang, WenChen

Publication information: YingjieLiang, WenChen, A relative entropy method to measure non-exponential random data, PhysicsLettersA,379(2015), 95每99.



This paper develops a relative entropy method to measure non-exponential random data in conjunction with fractional order moment, logarithmic moment and tail statistics of Mittag每Leffler distribution. The distribution of non-exponential random data follows neither the exponential distribution nor exponential decay. The proposed strategy is validated by analyzing the experiment data, which are generated by Monte Carlo method using Mittag每Leffler distribution. Compared with the traditional Shannon entropy, the relative entropy method is simple to be implemented, and its corresponding relative entropies approximated by the fractional order moment, logarithmic moment and tail statistics can easily and accurately detect the non-exponential random data.



Fractional diffusion on bounded domains

O. Defterli, M. D'Elia, Q. Du, M. Gunzburger,R. Lehoucq, M.M. Meerschaert

Publication information: O. Defterli, M. D'Elia, Q. Du, M. Gunzburger,R. Lehoucq, M.M. Meerschaert, Space-fractional advection-dispersion equations by the Kansa method, Fract. Calc. Appl. Anal, 18(2015), 342-360.



The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.



The End of This Issue