FDA Express

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JOURNAL OF COASTAL RESEARCH Special Issue: 73 Pages: 146-154 Published: WIN 2015

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING Volume: 18 Issue: 15 Pages: 1648-1657 Published: NOV 18 2015

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume: 35 Issue: 10 Pages: 4905-4929 Published: OCT 2015

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

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 26 Issue: 1-3 Pages: 24-35 Published: SEP 2015

IEEE SIGNAL PROCESSING LETTERS Volume: 22 Issue: 9 Pages: 1244-1248 Published: SEP 2015

JOURNAL OF APPLIED STATISTICS Volume: 42 Issue: 7 Pages: 1531-1546 Published: JUL 3 2015

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Fractional-order circuits and systems have lately been attracting significant attention and gaining more acceptance as generalizations to classical integer-order circuits and systems. Although the mathematical foundations of fractional calculus, which allows for arbitrary order integration and differentiation, were laid more than 200 years ago, the engineering applications remained limited until very recently. Circuit and System theorists’ contributions have recently made it possible to design and implement fractional-order analog filters, which are more general than integer-order filters. Significant contributions have been made towards the fabrication of a physical “Fractance device” also known as Fractional-Order Capacitor as well as to propose accurate approximations of the behavior of this device. A large and diverse number of applications have also been proposed for fractional-order circuits in biology, biochemistry and biomedicine, particularly in bio-impedance measurements as well as in energy storage devices such as super-capacitors, fuel cells and batteries.

The main focus of this special issue is the research challenges relating to the design and realization of fractional-order circuits and systems for various applications. The topics to be covered are the following:

• Fractional-Order Filter and Oscillator Design and Applications. • Fractional-Order Circuit Models for Biological, Biochemical, Biomedical Applications, and Material Characterization.

Author should follow the normal procedure of Circuits Systems and Signal Processing Journal for their submission (http://www.springer.com/journal/00034/submission), but choose "Special Issue on Fractional-Order Circuits and Systems" in the tab "Select Article Type". The manuscripts will undergo a standard review process. All manuscripts should conform to the standard format as indicated in the “Instructions for Authors” of the Journal. The length of the papers should not exceed 32 pages, including the text (single column, double-spaced), figures and tables.

Costas Psychalinos, Professor Physics Department, Electronics Laboratory University of Patras, GR-26504, Rio Patras GREECE

Ahmed S Elwakil,Professor, Electrical and Computer Engineering Department, College of Engineering, University of Sharjah, P.O. 27272, Sharjah, EMIRATES

Ahmed G. Radwan, Associate Professor, Nanoelectronics Integrated Systems Center (NISC), Nile University and Engineering Mathematics Department, Faculty of Engineering, Cairo University, Cairo, EGYPT

Karabi Biswas, Associate Professor, Electrical Engineering Department, Indian Institute of Technology (IIT), Kharagpur, 721302, West Bengal INDIA

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Issue Editors:

• Yong Zhou,

• Clara Ionescu,

• J.A. Tenreiro Machado

Fractional dynamics and its applications

Yong Zhou, Clara Ionescu, J. A. Tenreiro Machado Pages 1661-1664

Non-linear fractional field equations: weak non-linearity at power-law non-locality

Vasily E. Tarasov Pages 1665-1672

Stability properties of two-term fractional differential equations

Jan Čermák, Tomáš Kisela Pages 1673-1684

Stochastic solutions for fractional wave equations

Mark M. Meerschaert, René L. Schilling, Alla Sikorskii Pages 1685-1695

Discrete chaos in fractional delayed logistic maps

Guo-Cheng Wu, Dumitru Baleanu Pages 1697-1703

Chaos in the fractionally damped broadband piezoelectric energy generator

Junyi Cao, Shengxi Zhou, Daniel J. Inman, Yangquan Chen Pages 1705-1719

A novel image encryption scheme based on an improper fractional-order chaotic system

Jianfeng Zhao, Shuying Wang, Yingxiang Chang, Xianfeng Li Pages 1721-1729

Synchronization and stabilization of fractional second-order nonlinear complex systems

Mohammad Pourmahmood Aghababa Pages 1731-1744

Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces

Rong-Nian Wang, Peng-Xian Zhu, Qing-Hua Ma Pages 1745-1759

Fractional order control of unstable processes: the magnetic levitation study case

Cristina I. Muresan, Clara Ionescu, Silviu Folea, Robin De Keyser Pages 1761-1772

Fractional order control of thermal systems: achievability of frequency-domain requirements

Vahid Badri, Mohammad Saleh Tavazoei Pages 1773-1783

Robust control of nonlinear PEMFC against uncertainty using fractional complex order control

Masoomeh Shahiri, Abolfazl Ranjbar, Mohammad Reza Karami… Pages 1785-1800

An iterative method to design optimal non-fragile \({\varvec{H}}_{\varvec{\infty }}\) observer for Lipschitz nonlinear fractional-order systems

Elham Amini Boroujeni, Hamid Reza Momeni Pages 1801-1810

A discrete method to solve fractional optimal control problems

Ricardo Almeida, Delfim F. M. Torres Pages 1811-1816

Bode shaping-based design methods of a fractional order PID controller for uncertain systems

B. Saidi, M. Amairi, S. Najar, M. Aoun Pages 1817-1838

A fractional perspective to the bond graph modelling of world economies

J. A. Tenreiro Machado, Maria Eugénia Mata Pages 1839-1852

Fractional kinetics under external forcing

Alexander Iomin Pages 1853-1860

Nonlinear normal and anomalous response of non-interacting electric and magnetic dipoles subjected to strong AC and DC bias fields

W. T. Coffey, Y. P. Kalmykov, N. Wei Pages 1861-1867

Reduced fractional modeling of 3D video streams: the FERMA approach

Raoul R. Nigmatullin, Cristiano Ceglie, Guido Maione… Pages 1869-1882

Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB)

P. Muthukumar, P. Balasubramaniam, K. Ratnavelu Pages 1883-1897

A fractional-derivative Maxwell model is proposed for viscous dampers, which are used for vibration isolation of piping systems, forging hammers, and other industrial equipment, as well as for vibration and seismic isolation of building structures. The development and calibration of the model is based on experimentally observed dynamic characteristics. The proposed model is validated by dynamic testing and very good agreement between predicted and experimental results is obtained. Numerical algorithms for the solution of the constitutive relation in either the frequency or the time domain are presented. Some analytical results for a single-degree-of-freedom viscodamper system are presented. These results are useful to the design of vibration-isolation systems. Furthermore, an equivalent viscous oscillator is defined whose response is essentially the same as that of the viscodamper isolator. Finally, the model is employed in the analysis of a base-isolated model structure that has been tested on a shake table.

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We focus on a subdiffusion-reaction system in which substances are separated at the initial moment. This system is described by nonlinear differential subdiffusion–reaction equations with a fractional time derivative. These equations are very difficult to solve but there exist methods which allow us to solve them approximately. We discuss how useful such methods are, in particular, the quasistatic approximation method and the perturbation method in analytical solving subdiffusion-reaction equations.