FDA Express Vol. 22, No. 3, March 15, 2017
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:
heixindong@hhu.edu.cn,
pangguofei2008@126.com
For subscription:
http://em.hhu.edu.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol22_No3_2017.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for papers
7th International Scientific Conference, OTHA 2017
Workshop on Mathematical Methods in Engineering, MME 2017
International Conference on Fractional Signals and Systems
◆ Books
Fractal Elements and their Applications
Fractional-order Modeling and Control of Dynamic Systems
◆ Journals
◆ Paper Highlight
Fractional calculus in bioengineering
Variable-order fractional differential operators in anomalous diffusion modeling
◆ Websites of Interest
Fractal derivative and operators and their applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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Integer and Fractional Self Adjoint Operator Opial type Inequalities
By: Anastassiou, George A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 23 Issue: 8 Pages: 1398-1411 Published: DEC 2017
By:Ahmad, Bashir; Ntouyas, Sotiris K.; Tariboon, Jessada
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 23 Issue: 7 Pages: 1281-1296 Published: NOV 30 2017
By: Laoprasittichok, Sorasak; Sitthiwirattham, Thanin
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 23 Issue: 6 Pages: 1097-1111 Published: NOV 15 2017
On Simpson's type inequalities utilizing fractional integrals
By: Iqbal, Muhammad; Qaisar, Shahid; Hussain, Sabir
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 23 Issue: 6 Pages: 1137-1145 Published: NOV 15 2017
By: Sweilam, N. H.; Abou Hasan, M. M.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS Volume: 9 Issue: 4 Pages: 990-1011 Published: AUG 2017
By: Ali, A.; Gulshan, G.; Hussain, R.; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 22 Issue: 7 Pages: 1208-1219 Published: JUN 15 2017
Impulsive hybrid fractional quantum difference equations
By: Ahmad, Bashir; Ntouyas, Sotiris K.; Tariboon, Jessada; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Volume: 22 Issue: 7 Pages: 1231-1240 Published: JUN 15 2017
Defense Against Chip Cloning Attacks Based on Fractional Hopfield Neural Networks
By:Pu, Yi-Fei; Yi, Zhang; Zhou, Ji-Liu
nternational journal of neural systems Volume: 27 Issue: 4 Pages: 1750003 Published: 2017-Jun (Epub 2016 Sep 09)
Dynamic stability analysis of fractional order leaky integrator echo state neural networks
By: Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 47 Pages: 328-337 Published: JUN 2017
On a fractal LC-electric circuit modeled by local fractional calculus
By: Yang, Xiao-Jun; Tenreiro Machado, J. A.; Cattani, Carlo; et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 47 Pages: 200-206 Published: JUN 2017
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Call for Papers
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7th International Scientific Conference, OTHA 2017
------ “Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VII”
(Rostov-na-Don, Russia, April 23–28, 2017)
http://otha.sfedu.ru/conf2017/
Description
The conference is dedicated to the 75 anniversary of Professor Nikolai K. Karapetiants (1942-2005).
Working days of the conference: 24-27 of April 2017; Arrival: April, 23rd; Departure: April, 28th.
Deadline for registration and for abstracts submission: 01 April, 2017.
Sessions: – Functional Analysis and Operator Theory; – Function Theory and Approximation Theory; – Differential Equations and Mathematical Physics (Chair - Vladislav V. Kravchenko); – Hausdorff Operators and Related Topics (Chair - Elijah Liflyand); – Probability-Analytical Models and Methods (Chair - Igor V. Pavlov); – Bioinformatics and Mathematical Modelling (Chair - Alexander V. Melerzanov).
For contacts,
E-mail: otha.conference@gmail.com (Alexey Gil)
Communicated by: Alexey N. Karapetyants
Workshop on Mathematical Methods in Engineering
------ MME 2017
(Ankara, Turkey, April 27-29, 2017)
http://mme2017.cankaya.edu.tr/.
Main Topics: – Emergent Mathematics-Supported Data Mining and Prediction Tools; – Dynamics of Complex Systems; – Fixed Point Theory and Applications; – Fractals; – Fractional Calculus and Applications; – Fuzzy Sets and Systems; – Image and Signal Analysis; – Mechatronics; – Nonlinear Dynamics; – Ordinary Differential Equations and Applications; – Partial Differential Equations and Applications; – Planning and Scheduling Modelling; – Quantum calculus and its applications; – Stochastic Hybrid Systems; – Stochastic Optimal Control; – Vibration and Control.
Important Dates: – Deadline for draft papers submission: February 15, 2017; – Notification of acceptance: March 15, 2017; – Final manuscript and registration: April 10, 2017.
Proceedings of the workshop are planned as:
– Special issue in Advances in Difference Equations (Guest Editors: K. Tas and D. Baleanu);
– Special issue entitled “New Trends in Fractional Modelling of Transport Problems in Fluid Mechanics and Heat-Mass Transfer”, in Journal Thermal Science;
– CD with ISBN number; – Edited Springer book.
Contact info, E-mail: mme2017@cankaya.edu.tr
Communicated by: J. Tenreiro Machado (Co-Chair)
------ European Conference on Circuit Theory and Design 2017 (Catania, Italy, September 4-6, 2017)
(organized by organized by the DIEEI (Electric, Electronics and Computer Engineering Department) of the University of Catania.)
http://www.ecctd2017.dieei.unict.it
http://conference.researchbib.com/view/event/64795
Topics: – Circuits; –Systems; – Mathematical and computational methods; – Computational methods; – Nanoscale devices & circuits; – Neuromorphic & biomedical circuits; – Control of complex networks; – Signal processing applications.
Special session is planned at ECCTD 2017, the topic is: “Progress on fractional-order devices and systems in interdisciplinary applications”,
organized by: – Riccardo Caponetto (Italy): riccardo.caponetto@dieei.unict.it, – Ahmed S. Elwakil (UAE): elwakil@ieee.org, – Costas Psychalinos (Greece): cpsychal@physics.upatras.gr, – Ivo Petras (Slovak Republic): ivo.petras@tuke.sk.
Major headlines of the special session: – Synthesis and design of fractional-order circuits and systems; – Modeling and identification applications of fractional-order systems; – Novel fractional-order control techniques; – Applications of fractional-order circuits in biology, biomedicine, renewable energy etc.; – Fractional-order devices and their applications.
Colleagues interested in this special session are invited to send to its organizers a title and abstract of proposed contribution, before February 15, 2017 or ASAP.
Important dates for the conference: – Special session proposals: 15.02.17; – Notification of acceptance of special sessions: 01.03.17; – Paper submission deadline (4 pages): 07.04.17; – Notification of paper acceptance: 30.05.17.
Call for papers, at: http://www.ecctd2017.dieei.unict.it/CallforPapersECCTD2017.pdf.
The conference will be followed by the 12th SICC International Tutorial Workshop “Topics in nonlinear dynamics” on the topic of Control of Complex Networks of Nonlinear Circuits and Systems, September 7-8, 2017, more details at http://www.ecctd2017.dieei.unict.it/SICCWorkshop.html.
Contacts, General Chair, E-mail: ecctd2017@unict.it (Mattia Frasca)
Communicated by: Ivo Petras and Riccardo Caponetto
International Conference on Fractional Signals and Systems
------ FSS 2017 (Lodz, Poland, September 9-11, 2017)
(organized by organized by Institute of Applied Computer Science, Lodz University of Technology)
Description
The conference will offer three stimulating days of newest results presentation and discussions. It encompasses a broad spectrum of the Fractional Calculus applications in technical sciences. The main tracks will be: the fractional-order continuous-, and discrete-time linear or non-linear fractional-order control, dynamic system identification via fractional models, fractional order filtering, image processing using fractional methods. The mentioned range is not meant to exclude other applicable areas.
Main topics: – Fractional order control; – Signal analysis and filtering with fractional tools; – Fractional modeling; – Fractional system identification; – Image processing using methods based on the fractional calculus; – Numerical methods for fractional calculus.
Important dates: – Early registration deadline: March 1st, 2017; – Mini-symposiums proposal: March 15th, 2017; – Submission deadline: May 15th, 2017; – Notification of acceptance: 15th June, 2017; – Submission of final version: 1st July, 2017.
Contacts: fss17@info.p.lodz.pl
Communicated by: Piotr Ostalczyk
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Books
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Fractal Elements and their Applications
Gil'mutdinov, Anis Kharisovich; Ushakov, Pyotr Arkhipovich; El-Khazali, Reyado
Book Description
This book describes a new type of passive electronic components, called fractal elements, from a theoretical and practical point of view. The authors discuss in detail the physical implementation and design of fractal devices for application in fractional-order signal processing and systems. The concepts of fractals and fractal signals are explained, as well as the fundamentals of fractional calculus. Several implementations of fractional impedances are discussed, along with comparison of their performance characteristics. Details of design, schematics, fundamental techniques and implementation of RC-based fractal elements are provided.
More information on this book can be found by the following links:
http://link.springer.com/book/10.1007/978-3-319-45249-4
Fractional-order Modeling and Control of Dynamic Systems
Tepljakov, Aleksei
Book Description
This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.
More information on this book can be found by the following links:
http://link.springer.com/book/10.1007/978-3-319-52950-9
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Journals
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(selected)
Stabilization of fractional-order coupled systems with time delay on networks
Liping Chen, Ranchao Wu, Zhaobi Chu, Yigang He
Ardashir Mohammadzadeh, Sehraneh Ghaemi
Hidden chaotic attractors in fractional-order systems
Marius-F. Danca
An innovative parameter estimation for fractional-order systems in the presence of outliers
Rongzhi Cui, Yiheng Wei, Yuquan Chen, Songsong Cheng, Yong Wang
Komal Singla, R. K. Gupta
Lag synchronization for fractional-order memristive neural networks via period intermittent control
Lingzhong Zhang, Yongqing Yang, Fei wang
Lin Liu, Liancun Zheng, Fawang Liu, Xinxin Zhang
Lie symmetry analysis and exact solution of certain fractional ordinary differential equations
P. Prakash, R. Sahadevan
Lin He, Huibin Wu, Fengxiang Mei
(selected)
Fractional Jensen–Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus
José A. Tenreiro Machado and António Mendes Lopes
Bateman–Feshbach Tikochinsky and Caldirola–Kanai Oscillators with New Fractional Differentiation
Antonio Coronel-Escamilla, José Francisco Gómez-Aguilar, Dumitru Baleanu, Teodoro Córdova-Fraga, Ricardo Fabricio Escobar-Jiménez, Victor H. Olivares-Peregrino and Maysaa Mohamed Al Qurashi
Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential
Neamat Nyamoradi, Ahmed Alsaedi, Bashir Ahmad and Yong Zhou
On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
Hossein Jafari, Hassan Kamil Jassim, Maysaa Al Qurashi and Dumitru Baleanu
Prediction of Bearing Fault Using Fractional Brownian Motion and Minimum Entropy Deconvolution
Wanqing Song, Ming Li and Jian-Kai Liang
Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials
Riccardo Caponetto, Francesca Sapuppo, Vincenzo Tomasello, Guido Maione and Paolo Lino
Waleed M. Abd-Elhameed and Youssri H. Youssri
Study on the Inherent Complex Features and Chaos Control of IS–LM Fractional-Order Systems
Junhai Ma, Wenbo Ren and Xueli Zhan
Fractional-Order Grey Prediction Method for Non-Equidistant Sequences
Yue Shen, Bo He and Ping Qin
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Paper
Highlight
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Fractional calculus in bioengineering
Magin, Richard L.
Publication information: Critical Reviews in Biomedical Engineering Volume: 32 Issue: 1 Pages: 1-104 Published: 2004
http://www.ncbi.nlm.nih.gov/pubmed/15248549
Abstract
Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems. Although the basic mathematical ideas were developed long ago by the mathematicians Leibniz (1695), Liouville (1834), Riemann (1892), and others and brought to the attention of the engineering world by Oliver Heaviside in the 1890s, it was not until 1974 that the first book on the topic was published by Oldham and Spanier. Recent monographs and symposia proceedings have highlighted the application of fractional calculus in physics, continuum mechanics, signal processing, and electromagnetics, but with few examples of applications in bioengineering. This is surprising because the methods of fractional calculus, when defined as a Laplace or Fourier convolution product, are suitable for solving many problems in biomedical research. For example, early studies by Cole (1933) and Hodgkin (1946) of the electrical properties of nerve cell membranes and the propagation of electrical signals are well characterized by differential equations of fractional order. The solution involves a generalization of the exponential function to the Mittag-Leffler function, which provides a better fit to the observed cell membrane data. A parallel application of fractional derivatives to viscoelastic materials establishes, in a natural way, hereditary integrals and the power law (Nutting/Scott Blair) stress-strain relationship for modeling biomaterials. In this review, I will introduce the idea of fractional operations by following the original approach of Heaviside, demonstrate the basic operations of fractional calculus on well-behaved functions (step, ramp, pulse, sinusoid) of engineering interest, and give specific examples from electrochemistry, physics, bioengineering, and biophysics. The fractional derivative accurately describes natural phenomena that occur in such common engineering problems as heat transfer, electrode/electrolyte behavior, and sub-threshold nerve propagation. By expanding the range of mathematical operations to include fractional calculus, we can develop new and potentially useful functional relationships for modeling complex biological systems in a direct and rigorous manner..
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Variable-order fractional differential operators in anomalous diffusion modeling
Sun, HongGuang; Chen, Wen; Chen, YangQuan
Publication information: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 388 Issue: 21 Pages: 4586-4592 Published: NOV 1 2009
http://www.sciencedirect.com/science/article/pii/S0378437109005822
Abstract
The purpose of this paper is to offer a unified discussion of variable-order differential operators in anomalous diffusion modeling. The characteristics of the new models, in contrast to constant-order fractional diffusion models, change with time, space, concentration or other independent quantities. We introduced a classification of variable-order fractional diffusion models based on the possible physical origins which prompt the variable-order. Some potential applications of the variable-order fractional diffusion models are also discussed.
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