FDA Express Vol. 33, No. 3, Dec 30, 2019
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All issues: http://jsstam.org.cn/fda/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai
University
For contribution:
shuhong@hhu.edu.cn,
fdaexpress@hhu.edu.com
For subscription:
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PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol33_No3_2019.pdf
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¡ô Latest SCI Journal Papers on FDA
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¡ô Call for Papers
SIAM Conference on Mathematical Aspects of Materials Science
14th World Congress on Computational Mechanics/ECCOMAS Congress
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¡ô Books
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¡ô Journals
Fractional Calculus and Applied Analysis
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¡ô Paper Highlight
On the properties of some operators under the perspective of fractional system theory
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¡ô 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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A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation
By: Lang Li, Fawang Liu, Libo Feng, Ian Turner
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 368 published: APR 2020
A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation
Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order
An analytic semigroup generated by a fractional differential operator
Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay
Fractional interval observers and initialization of fractional systems
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Conference
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SIAM Conference on Mathematical Aspects of Materials Science
(May 18-22, 2020, Bilbao, Spain)
Since 1994, every 2 to 4 years the SIAM Materials Activity Group organizes the SIAM Conference on Mathematical Aspects of Materials Science. This conference focuses on interdisciplinary approaches that bridge mathematical and computational methods to the science and engineering of materials. The conference provides a forum to highlight significant advances as well as critical or promising challenges in mathematics and materials science and engineering. In keeping with tradition, the conference seeks diversity in people, disciplines, methods, theory, and applications. For Focus themes, see at the website.
Deadline: January 15, 2020
All details on this conference are now available at:
https://wp.bcamath.org/siamms20.
Consulting E-mail: siam2020@bcamath.org¡¡
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(July 19-24, 2020, Paris, France)
The Minisymposium focuses on non-conventional techniques for solid mechanics, including experimental, theoretical and computational aspects. The attention is focused on heterogeneous/multiscale/multiphase/multifunctional materials, and their behaviour especially in the framework of coupled field problems.
Topics:
-Non-conventional theoretical techniques for description of heterogeneous/multiscale/multiphase/multifunctional materials:
fractional continuum mechanics,
tolerance and non-asymptotic modelling,
peridynamics,
fractal media,
nonlocal continuum,
relativistic continuum mechanics, etc.
-Non-conventional techniques for solving coupled field problems for heterogeneous/multiscale/multiphase/multifunctional materials (computational aspects including implementation and hardware/software point of views).
-new set-ups for experimental testing of heterogeneous/multiscale/multiphase/multifunctional materials (miniaturised equipment, digital imaging, etc.)
All details on this conference are now available at:
https://www.wccm-eccm-ecfd2014.org/frontal/default.asp.
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Books
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(Editor: Ivo Petr¨¢š)
Details: https://doi.org/10.3390/books978-3-03921-609-3
Introduction
This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion.
Contents
The book includes Preface and Contributions to the area by the following authors: - Ivo Petr¨¢š and J¨¢n Terp¨¢k;In¨¦s Tejado, Blas M. Vinagre, Jos¨¦ Emilio Traver, Javier Prieto-Arranz and Cristina Nuevo- Gallardo; - Tomas Skovranek, Vladimir Despotovic; - Bohdan Datsko, Igor Podlubny and Yuriy Povstenko; - Richard L. Magin, Hamid Karani, ShuhongWang and Yingjie Liang; - Xudong Hai, Guojian Ren, Yongguang Yu and Conghui Xu; - Jiamin Wei, YangQuan Chen, Yongguang Yu and Yuquan Chen.
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Journals
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Fractional Calculus and Applied Analysis
(Volume 22, Issue 5 Oct 2019)
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A survey on fractional asymptotic expansion method: A forgotten theory
Khosro Sayevand/ Jos¨¦ A. Tenreiro Machado
Simplified fractional-order design of a MIMO robust controller
Patrick Lanusse / Massinissa Tari
Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets
Natasha Samko
Weyl integrals on weighted spaces
Tillmann Kleiner / Rudolf Hilfer
On fractional regularity of distributions of functions in Gaussian random variables
Egor D. Kosov
Compactness criteria for fractional integral operators
Vakhtang Kokilashvili/ Mieczys?aw Masty?o / Alexander Meskhi
Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type
Katarzyna G¨®rska / Andrzej Horzela / Roberto Garrappa
Churong Chen / Martin Bohner / Baoguo Jia
Matthias Hinze/ Andr¨¦ Schmidt/ Remco I. Leine
Supercritical fractional Kirchhoff type problems
Vincenzo Ambrosio / Raffaella Servadei
Identification for control of suspended objects in non-Newtonian fluids
Isabela Birs/ Cristina Muresan/ Dana Copot/ Ioan Nascu/ Clara Ionescu
Algebraic fractional order differentiator based on the pseudo-state space representation
Xing Wei/ Da-Yan Liu/ Driss Boutat/ Yi-Ming Chen
Eigenvalues for a combination between local and nonlocal p-Laplacians
Leandro M. Del Pezzo / Ra¨²l Ferreira / Julio D. Rossi
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(Selected)
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Changshun Ding, Junyi Cao,YangQuan Chen
Jian-Bing Hu
A new fractional moment equation method for the response prediction of nonlinear stochastic systems
Hongzhe Dai, Ruijing Zhang ,Hao Zhang
Zhe Gao
Ningning Yang, Cheng Xu,Chaojun Wu, Rong Jia, Chongxin Liu
Passivity-based control of a single-link flexible manipulator using fractional controllers
Daniel Feliu-Talegon ,Vicente Feliu-Batlle
H. Hassani, J. A. Tenreiro Machado, Z. Avazzadeh
Identification of fractional Hammerstein system with application to a heating process
Karima Hammar, Tounsia Djamah, Maamar Bettayeb
Gamal M. Mahmoud, Tarek Aboelenen, Tarek M. Abed-Elhameed, Ahmed A. Farghaly
The fractional derivative expansion method in nonlinear dynamic analysis of structures
Marina V. Shitikova
Observer-based robust synchronization of fractional-order multi-weighted complex dynamical networks
Ramalingam Sakthivel, Rathinasamy Sakthivel, Oh-Min Kwon, Palanisamy Selvaraj, Selvaraj Marshal Anthoni
Xi Chen, Lei Xi, Yunning Zhang, Hui Ma, Yuehua Huang, Yangquan Chen
P. D. Spanos, A. Di Matteo, A. Pirrotta
V. C. Fragkoulis, I. A. Kougioumtzoglou, A. A. Pantelous, M. Beer
Advances in Lyapunov theory of Caputo fractional-order systems
Jiaojiao Ren, Cong Wu
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Paper
Highlight
On the properties of some operators under the perspective of fractional system theory
Manuel D.Ortigueira, J. TenreiroMachado
Publication information: Communications in Nonlinear Science and Numerical Simulation, Volume 82, March 2020, 105022
https://doi.org/10.1016/j.cnsns.2019.105022
Highlights
-Definition of suitable criterion for fractional derivatives..
-Analysis of some operators under the light of fractional calculus.
-Relevance of the index law.
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Abstract
This paper analyses some operators recently proposed, either as alternatives, or as generalizations of classical fractional derivatives. The performance assessment, both under the point of view of system theory and signal processing, demonstrates that two approaches do not follow some systematic criteria. Therefore, this paper contributes towards a systematic and careful study of the new proposals in the scope of the fast evolving area of Fractional Calculus.
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Wei Xu, Yingjie Liang, Wen Chen, Fajie Wang
Publication information: Physica A: Statistical Mechanics and its Applications, Volume 539, 1 February 2020, 122996
https://doi.org/10.1016/j.physa.2019.122996
Highlights
-Summarized the origin of stretched Gaussian distribution underlying the Hausdorff fractal theory.
-Introduced the work on the Hausdorff derivatives in tackling partial differential equations.
-Analyzed the feasibility of the least square method and the stretched least square method for fitting stretched Gaussian noise.
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Abstract
This paper summarizes the latest advances of the third author’s research group on stretched Gaussian distribution underlying the Hausdorff fractal theory and its applications in fitting stretched Gaussian noise. Firstly, the Hausdorff fractal metrics are introduced as an extension of non-Euclidean distance. Based on the fractal scaling, the Hausdorff derivative is derived which can describe the problems of interest to construct non-integer differential equations. Secondly, we introduce the Hausdorff derivatives in tackling partial differential equations, and the fundamental solution of Hausdorff derivative diffusion equation is stretched Gaussian distribution. Thirdly, we analyze the feasibility of the least square method for stretched Gaussian noise, which obeys stretched Gaussian distribution. The least square method is inapplicable when the noise level is larger than 5%. Finally, by using the Hausdorff fractal distance, we introduce the stretched least square method, which improves the traditional least square method, to fit stretched Gaussian noise.
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