By: Peng, Chao; Zheng, Jian-Ming; Li, Xu-Bo; et al.
Edited by: Shahhosseini, AM
Conference: International Conference on Design,
Manufacturing and Mechatronics (ICDMM) Location: Adv Sci Technol & Ind
Res Ctr, Wuhan, PEOPLES R CHINADate: APR 17-18, 2015
Sponsor(s): Hebei Univ; Beijing Technol & Business Univ; Chengdu Univ
DESIGN, MANUFACTURING AND MECHATRONICS (ICDMM
2015) Pages: 706-714 Published: 2016
The Special Issue ※Recent Developments in Fractional Differential Equations and Their Applications§ of CAMWA (computers and Mathematics with Applications) invites papers that focus on recent and novel developments in the theory of fractional calculus, especially on such areas as fractional ordinary and partial differential equations, fractional integro-differential equations, fractional integral transforms, fractional integral equations and inequalities, and on various applications thereof.
The purpose of the Special Issue is to provide the control community
with up-to-date application-oriented perspectives on the advantages and
benefits of fractional-order control and fractional-order model-based
control. In this sense, papers are solicited that clearly show the
benefits of the fractional-order approach compared to other
state-of-the-art solutions in academia and industry.
In particular, the contributions should contain application-related
information and practically relevant results. The relevance of the work
in a industrial or in another application-oriented context must be
stressed by solid industrial examples. If only simulations are used,
they must be verified on models of real plants. This could better
disclose the control engineer the impact of fractional-order control on
industrial processes, automotive systems and components, unmanned
vehicles, robotic service applications, and many other control
applications.
The Special Issue also aims at proposing innovative approaches,
architectures and solutions that can move a step forward in this
particular field and suggest new control methods and lines of
investigation. Namely, it is a shared belief that the possibilities,
flexibility, robustness properties, and indexes offered by
fractional-order controllers still have to reach their peak, given that
they do not represent an ultimate key to the success of a practical
control problem.
On behalf of Organizing Committee, we are happy to inform you that
our workshop has been approved by Lorenz center, Oort, see details at
http://www.lorentzcenter.nl/.
The details will be available soon. The number of participants is restricted
to be not greater than 55, according to the Lorenz Center regulations.
Contacts: Yuliya Mishura,
yumishura@gmail.com, and Georgij Shevchenko
Department of Probability, Statistics and Actuarial Mathematics
Taras Shevchenko National University of Kyiv, Ukraine
The aim of
this special session is to bring together colleagues that work in the of
fractional order calculus to present the latest results in fractional
order systems theory and its applications. Papers describing original
researchwork that reflects the recent theoretical advances and
experimental results as well as the challenging issues are invited. This
special session welcomes the submission with the following topics, but
not limited to:
-- Fractional modeling (thermal systems, electrical systems, dielectric
materials, electrochemical systems, mechanical systems, biological
systems, quantum systems, etc);
-- System identification (linear, nonlinear, LPV, model based, data
driven, etc);
-- Systems analysis (stability, monotonicity, observability,
controllability, etc);
-- Controllers (fractional PID, CRONE, adaptive, optimal, etc);
-- Observers (state, disturbance, related control, etc);
-- Numerical simulation;
-- Models implementation;
-- Physical meaning;
Submission Deadline: Contributed Papers and special issues must be
submitted before December 15, 2015 with the session code "r2Ph1b" Contact if you intend to participate
Prof. Yong WANG
Department of Automation
University of Science and Technology of China, Hefei, China
Email:
yongwang@ustc.edu.cn
Please select ※Invited Session Paper§ and "S45
Fractional-Order Systems and Control"
while submitting in the related Conference Paper Management System.
The corresponding sections of the book may be used by university lecturers for courses in heat and mass transfer, continuum mechanics, thermal stresses, as well as in fractional calculus and its applications for graduate and postgraduate students. The book presents a picture of the state of the art of fractional thermoelasticity and will also serve as a reference handbook for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity, and engineering sciences. The book provides information which puts the reader at the forefront of current research in the field of fractional thermoelasticity and is complemented with extensive references in order to stimulate further studies in this field as well as in the related areas.
More information on this book can be found by the
following link:
This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.
The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving as a companion volume to Introduction to the Fractional Calculus of Variations by A B Malinowska and D F M Torres, where analytical methods are presented to solve FCV problems. After some preliminaries on the subject, different techniques are presented in detail with numerous examples to help the reader to better understand the methods. The techniques presented may be used not only to deal with FCV problems but also in other contexts of fractional calculus, such as fractional differential equations and fractional optimal control. It is suitable as an advanced book for graduate students in mathematics, physics and engineering, as well as for researchers interested in fractional calculus.
More information on this book can be found by the
following link:
Michele Caputo, Jos´e M. Carcione, Marco A. B. Botelho
Publication information:
Caputo M, Carcione J M, Botelho M A B. Modeling Extreme-Event Precursors with the Fractional Diffusion Equation[J]. Fractional Calculus & Applied Analysis, 2015, 18(1): 208-222.
Extreme catastrophic events such as earthquakes, terrorism and economic
collapses are difficult to predict. We propose a tentative mathematical
model for the precursors of these events based on a memory formalism
and apply it to earthquakes suggesting a physical interpretation. In this
case, a precursor can be the anomalous increasing rate of events (aftershocks)
following a moderate earthquake, contrary to Omori＊s law. This
trend constitute foreshocks of the main event and can be modelled with
fractional time derivatives. A fractional derivative of order 0 < 糸 < 2
replaces the first-order time derivative in the classical diffusion equation.
We obtain the frequency-domain Green＊s function and the corresponding
time-domain solution by performing an inverse Fourier transform. Alternatively,
we propose a numerical algorithm, where the time derivative
is computed with the Gr“unwald-Letnikov expansion, which is a finitedifference
generalization of the standard finite-difference operator to derivatives
of fractional order. The results match the analytical solution obtained
from the Green function. The calculation requires to store the whole field
in the computer memory since anomalous diffusion ※remembers the past§.
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schemes
for finite element discretization of the space每time fractional diffusion
equations