FDA Express Vol. 36, No. 3, Sep 30, 2020
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_Vol36_No3_2020.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
The 13th International Conference on Large-Scale Scientific Computations
First Online Conference on Modern Fractional Calculus And Its Applications
◆ Books
Fractional Quantum Hall Effects: New Developments
◆ Journals
Fractional Calculus and Applied Analysis
◆ Paper Highlight
A new method for formulating linear viscoelastic models
◆ 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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By: Biswas, Swapan; Ghosh, Uttam
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS Volume: 18 Issue: 1 Published: FEB 2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations
Event-triggered impulsive chaotic synchronization of fractional-order differential systems
Boundary Value Methods for Caputo Fractional Differential Equations
Mixed Finit Element Methods for Fractional Navier-Stokes Equations
Liouville property of fractional Lane-Emden equation in general unbounded domain
By: Wang, Ying; Wei, Yuanhong
Mass- and energy-conserving difference schemes for nonlinear fractional Schrodinger equations
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Call for Papers
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The 13th International Conference on Large-Scale Scientific Computations
(June 7-11, 2021, Sozopol, Bulgaria)
The 13th International Conference on Large-Scale Scientific Computations is organized by the Institute of Information and Communication Technologies, Bulgarian Academy of Sciences in cooperation with Sozopol municipality.
The conference will be held at the Bulgarian Red Cross Educational Center in Sozopol (map of Sozopol), a picturesque town on the Black Sea coast, 36 km to the south from Bourgas (the nearest international airport).
In case of continuing travel restrictions due to the corona virus, we are ready to create a hybrid offline online organization to participate in the conference.
Specific topics of interest (but not limited to):
• Hierarchical, adaptive, domain decomposition and local refinement methods;Submission Deadlines:
Deadline for applications to organize a special session: September 30, 2020
Deadline for submission of abstracts: January 15, 2021
Notification of acceptance of the talks on the basis of the submitted abstract: January 31, 2021
Deadline for submission of full papers: March 1, 2021
Notification of acceptance of full papers: April 15, 2021
All details on this online conference are now available at: http://parallel.bas.bg/Conferences/SciCom21/announcement.html.
First Online Conference on Modern Fractional Calculus And Its Applications
(December 5 - 6, 2020, Online)
Fractional calculus is a topic which theoretically extends the classical calculus by allowing the operators of differentiation and integration to take fractional orders, and which is nowadays playing an important role in describing the complicated dynamics of real world processes from various fields of science and engineering.
Conference will be organized in Online Platform
https://www.teamlink.co/.
The scope of this online conference is to present the state of the art on fractional operators and systems, both theoretical and applications-oriented aspects. Moreover, some fundamental problems of current research in fractional calculus will be debated.
Part of the conference will be dedicated to research presentations delivered by young researchers in the area of modern fractional calculus and its applications.
The following awards will be presented during the conference :
Tentative list:Important Dates:
Deadline of Abstract Submission: November 23, 2020
Announcing the symposium program: November 27, 2020
All details on this online conference are now available at: https://ntmsci.com/Conferences/OCMFCA2020.
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Books
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(Editors:Bertrand I Halperin, Jainendra K Jain)
Details:https://www.worldscientific.com/worldscibooks/10.1142/11751
Book Description：
The fractional quantum Hall effect has been one of the most active areas of research in quantum condensed matter physics for nearly four decades, serving as a paradigm for unexpected and exotic emergent behavior arising from interactions. This book, featuring a collection of articles written by experts and a Foreword by Klaus von Klitzing, the discoverer of quantum Hall effect and winner of 1985 Nobel Prize in physics, aims to provide a coherent account of the exciting new developments and the current status of the field.
Readership:
Graduate students and researchers interested in the current status of the field that has seen significant progress in the last 10 years.
Contents:
-Foreword (K von Klitzing)
-Preface (B I Halperin and J K Jain)
-Thirty Years of Composite Fermions and Beyond (J K Jain)
-The Half-Full Landau Level (B I Halperin)
-Probing Composite Fermions Near Half-Filled Landau Levels (M Shayegan)
-Edge Probes of Topological Order (M Heiblum and D E Feldman)
-Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures (G A Csáthy)
-Correlated Phases in ZnO-Based Heterostructures (J Falson and J H Smet)
-Fractional Quantum Hall Effects in Graphene (C Dean, P Kim, J I A Li and A Young)
-Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions (S H Simon)
-Engineering Non-Abelian Quasi-Particles in Fractional Quantum Hall States — A Pedagogical Introduction (A Stern)
-Fractional Quantum Hall States of Bosons: Properties and Prospects for Experimental Realization (N R Cooper)
-Index
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Journals
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Fractional Calculus and Applied Analysis
(Volume 23 Issue 4)
Fractional derivatives and the fundamental theorem of fractional calculus
Yuri Luchko
Erdélyi–Kober fractional integrals and radon transforms for mutually orthogonal affine planes
Boris Rubin and Yingzhan Wang
Nontrivial solutions of non-autonomous dirichlet fractional discrete problems
Alberto Cabada and Nikolay Dimitrov
Applications of Hilfer-Prabhakar operator to option pricing financial model
Živorad Tomovski, Johan L. A. Dubbeldam, and Jan Korbel
On a quantitative theory of limits: Estimating the speed of convergence
Renato Spigler
Marcos J. Ceballos-Lira and Aroldo Pérez
On the harmonic extension approach to fractional powers in Banach spaces
Jan Meichsner and Christian Seifert
Jin Liang, Yunyi Mu, and Ti-Jun Xiao
Fractional abstract Cauchy problem on complex interpolation scales
Andriy Lopushansky, Oleh Lopushansky, and Anna Szpila
Mikhail I. Gomoyunov
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
Yuri Kondratiev, Andrey Piatnitski, and Elena Zhizhina
Attractivity for differential equations of fractional order and ψ-Hilfer type
J. Vanterler da C. Sousa, Mouffak Benchohra, and Gaston M. N’Guérékata
Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions
José Carmona, Eduardo Colorado, Tommaso Leonori, and Alejandro Ortega
(Selected)
Xiangcheng Zheng, Hong Wang, Hongfei Fu
Exact solutions and Hyers–Ulam stability for fractional oscillation equations with pure delay
Li Liu, Qixiang Dong, Gang Li
Hamdy M. Ahmed, Quanxin Zhu
Pengde Wang
Fractional white noise functional soliton solutions of a wick-type stochastic fractional NLSE
Ben-Hai Wang, Yue-Yue Wang
Ji Lin, Wenjie Feng, Sergiy Reutskiy, Haifeng Xu, Yongjun He
Simultaneous uniqueness for an inverse problem in a time-fractional diffusion equation
Xiaohua Jing, Jigen Peng
Analysis of a fractional SIR model with General incidence function
Pegah Taghiei Karaji, Nemat Nyamoradi
T. Wei, X. B. Yan
Uniform analytic solutions for fractional Navier–Stokes equations
Zhenzhen Lou, Qixiang Yang, Jianxun He, Kaili He
Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation
Gang-Zhou Wu, Chao-Qing Dai
Limei Cao, Peipei Zhang, Botong Li, Jing Zhu, Xinhui Si
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy–Schrödinger systems
Guotao Wang, Xueyan Ren
Ground state solutions for fractional Schrödinger systems without monotonicity condition
Dengfeng Lü, Shu-Wei Dai
Asymptotic behavior of solutions of fractional nabla difference equations
Hongwu Wu
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Paper
Highlight
Arman Dabiri, Mohammad Poursina, J. A. Tenreiro Machado
Publication information: Nonlinear Dynamics, 08 October 2020
https://doi.org/10.1007/s11071-020-05954-3
Abstract
In this paper, a new framework is presented for the dynamic modeling and control of fully actuated multibody systems with open and/or closed chains as well as disturbance in the position, velocity, acceleration, and control input of each joint. This approach benefits from the computed torque control method and embedded fractional algorithms to control the nonlinear behavior of a multibody system. The fractional Brunovsky canonical form of the tracking error is proposed for a generalized divide-and-conquer algorithm (GDCA) customized for having a shortened memory buffer and faster computational time. The suite of a GDCA is highly efficient. It lends itself easily to the parallel computing framework, that is used for the inverse and forward dynamic formulations. This technique can effectively address the issues corresponding to the inverse dynamics of fully actuated closed-chain systems. Eventually, a new stability criterion is proposed to obtain the optimal torque control using the new fractional Brunovsky canonical form. It is shown that fractional controllers can robustly stabilize the system dynamics with a smaller control effort and a better control performance compared to the traditional integer-order control laws.
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Xianglong Su, Donggang Yao, Wenxiang Xu
Publication information: International Journal of Engineering Science, Volume 156, November 2020, 103375
https://doi.org/10.1016/j.ijengsci.2020.103375
Abstract
Classical spring-dashpot models encounter difficulties in modeling the responses of realistic viscoelastic materials. Multiple modes are typically needed to describe realistic data, resulting in overfitting issues. Compared with classical models, fractional viscoelastic models have been shown to depict the linear viscoelasticity of materials containing multilevel structures with fewer parameters. However, the series-parallel structure for fractional models restricts one to build more general constitutive models that are not bounded by such presumed structure. In this paper, we attempt to adopt a transfer function method for formulating linear viscoelastic models, especially for fractional viscoelastic models. Fractional models can be established by constructing a transfer function connecting two selected limiting viscoelastic models. With this transfer function method, we can establish generalized fractional models that have not been previously available. Furthermore, the viscoelastic responses of the resulting models can be obtained analytically or numerically using transfer function theories. For demonstration, the overall methodology is used in model fitting to experimental data of polymeric materials, leading to fitting models with fewer parameters.
Keywords:
Transfer function; Linear viscoelasticity; Fractional derivative; Series-parallel structure; Laplace transform
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The End of This Issue
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