FDA Express Vol. 36, No. 1, Jul 30, 2020
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Institute of Soft Matter Mechanics, Hohai
University
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shuhong@hhu.edu.cn,
fdaexpress@hhu.edu.com
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
The 1st Online Conference on Nonlinear Dynamics and Complexity
International Conference on Mathematical Analysis and Applications in Science and Engineering
International Workshop: Numerical Solution of Fractional Differential Equations and Applications
◆ Books
Fractional Calculus for Hydrology, Soil Science and Geomechanics
◆ Journals
Fractional Calculus and Applied Analysis
Applied Mathematics and Computation
◆ Paper Highlight
Fractional-order Passivity-based Adaptive Controller for A Robot Manipulator Type SCARA
◆ 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: Bot, R., I; Csetnek, E. R.; Vuong, P. T.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH Volume: 287 Issue: 1 Pages: 49-60 Published: NOV 16 2020
Radiative Transfer with long-range interactions in the half-space
Multilayer Fractional Slot Pole-Phase Modulated Induction Motor Drives for Traction Applications
Solving fractional pantograph delay equations by an effective computational method
Modelling of fluid flow through porous media using memory A review
Generalized fractional controller for singular systems of differential equations
Study of Mainardi's fractional heat problem
Inverse problems for heat equation and space-time fractional diffusion equation with one measurement
Second-order sliding mode control for nonlinear fractional-order systems
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Call for Papers
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The 1st Online Conference on Nonlinear Dynamics and Complexity
(November 23–25, 2020, Central Time Zone, USA)
This Conference will provide a place to exchange recent developments, discoveries and progresses on Nonlinear Dynamics and Complexity. The aims of the conference are to present the fundamental and frontier theories and techniques for modern science and technology; to stimulate more research interest for exploration of nonlinear science and complexity; and to directly pass the new knowledge to the young generation, engineers and technologists in the corresponding fields.
The symposium will focus on the recent developments, findings and progresses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physical science and nonlinear mathematics.
Topics (not limited to):
-Nonlinear classical and fractional differential equations and applicationsImportant Dates:
Submission of Symposium Proposals Deadline: June 30, 2020
Submission of Abstracts Deadline: September 15, 2020
Contribution Acceptance Notification: September 30, 2020
Submission of PowerPoint Presentations Deadline: November 20, 2020
Conference: November 23-25, 2020, Central Time Zone, USA
Submission of Full-Length Papers Deadline: January 30, 2021
Peer-Reviews Completed: February 15, 2021
Revised Paper Resubmission Deadline: March 30, 2021
Acceptance Notification: April 15, 2021
All details on this online conference are now available at: http://ndc.lhscientificpublishing.com.
International Conference on Mathematical Analysis and Applications in Science and Engineering
( June 21-25 2021, Porto, Portugal)
The International Conference on Mathematical Analysis and Applications in Science and Engineering – ICMA2SC'20 will take place at the beautiful city of Porto, Portugal, in July 20-24 2020.
Its aim is to bring together researchers in every discipline of applied mathematics, science, engineering, industry, and technology, to discuss the development of new mathematical models, theories, and applications that contribute to the advancement of scientific knowledge and practice.
We expect the authors to propose research including topics such as partial and ordinary differential equations, integer and fractional order equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization, control, probability, computational mathematics, amongst others.
The conference is designed to maximize the involvement of all participants and will present the state-of-the-art research and the latest achievements.
Main topics include:
-Ordinary and Partial Differential Equations: Theory and ApplicationsImportant Dates:
Abstract submission starts &Proposals for Special Sessions: 1 DEC 2019
Deadline for submissions &Early Bird registration: 30 MAR 2021
Upload of complete papers of accepted abstracts: 30 APR 2021
Camera-ready submission for accepted papers: 05 JUN 2021
Conference Opening & Autor/Late registration: 21 JUN 2021
All details on this online conference are now available at: https://www.isep.ipp.pt/Page/ViewPage/ICMASC.
International Workshop: Numerical Solution of Fractional Differential Equations and Applications
(September 7-12, 2020, Sozopol, Bulgaria)
The International Workshop on Numerical Solution of Fractional Differential Equa- tions and Applications (NSFDE&A’20) is organized by the Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, in cooperation with the Bulgarian Section of SIAM and the Center of Excellence in Informatics and Information and Communication Technologies (CoE in Informatics and ICT).
The CoE in Informatics and ICT, Grant No BG05M2OP001-1.001-0003, is financed by the Science and Education for Smart Growth Operational Program (2014-2020) and co-financed by the EU through the European Structural and Investment Funds.
The workshop follows the great success of the Special Session on Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications, organized within the scien- tific program of the 12th International Conference on Large-Scale Scientific Computations (LSSC’19), June 10–14, 2019, Sozopol, Bulgaria. The workshop is aimed to start a new chain of NSFDE&A events to be organized biannually, every even year, complementary to the well-established LSSC conferences every odd year.
Specific topics of interest (not limited to):
-Fractional in space diffusion problemsImportant Deadlines:
Registration/intention to participate: January 31, 2020
Submission of extended abstracts/short communications: February 15, 2020
Notification of acceptance of the talks on the basis of the
Please, contact the organizers at: nsfdea20@parallel.bas.bg.for later registration and possible submission of extended abstracts/short communications.
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Books
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Fractional Calculus for Hydrology, Soil Science and Geomechanics
(Author:Ninghu Su )
Book Description
This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.
Author Biography
Dr. Su is Adjunct Professor at James Cook University, Australia and Guest Professor at Ningxia University, China. He was previously Guest Professor at several universities in China. He received a PhD at the Australian National University, MSc at the Institute of Soil and Water Conservation, the Chinese Academy of Sciences, and BSc at the College of Agricultural Science, Ningxia University. His research interests span several fields including hydrology, environmental modelling and applications of fractional calculus, which have evolved while working in Australia, China and New Zealand.
Contents:
-Application of Fractional Calculus in Water Flow and Related Processes
-Mathematical Preliminaries
-Essential Properties of Soils and Aquifers as Porous Media
-Transition from Classic Diffusion to Anomalous Diffusion– The evolution of concepts and ideas
-Fractional Partial Differential Equations for Water Movement in Soils
-Applications of Fractional Partial Differential Equations to Infiltration and Water Movement in Soils
-Fractional Differential Equations for Solute Transport in Soils
-Hydraulics of Anomalous Flow on Hillslopes, in Catchment Networks and Irrigated Fields
-Fractional Partial Differential Equations for Groundwater Flow
-Fractional Partial Differential Equations for Solute Transport in Groundwater
-Fractional Partial Differential Equations, Poroviscoelastic Media and Geomechanics
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Journals
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Fractional Calculus and Applied Analysis
(Volume 23 Issue 3)
Why fractional derivatives with nonsingular kernels should not be used
Kai Diethelm, Roberto Garrappa, Andrea Giusti and Martin Stynes
Luciano Abadias, Gissell Estrada-Rodriguez and Ernesto Estrada
Generalized fractional Poisson process and related stochastic dynamics
Thomas M. Michelitsch and Alejandro P. Riascos
Determination of the fractional order in semilinear subdiffusion equations
Mykola Krasnoschok, Sergei Pereverzyev, Sergii V. Siryk and Nataliya Vasylyeva
Degenerate Kirchhoff (p, q)–Fractional systems with critical nonlinearities
Alessio Fiscella and Patrizia Pucci
Solution of linear fractional order systems with variable coefficients
Ivan Matychyn and Viktoriia Onyshchenko
“Fuzzy” calculus: The link between quantum mechanics and discrete fractional operators
Raoul R. Nigmatullin, Paolo Lino and Guido Maione
The green function for a class of Caputo fractional differential equations with a convection term
Zhanbing Bai, Sujing Sun, Zengji Du and YangQuan Chen
Inverse problem for a multi-term fractional differential equation
Muhammad Ali, Sara Aziz and Salman A. Malik
Maximum principles for a class of generalized time-fractional diffusion equations
Shengda Zeng, Stanisław Migórski, Van Thien Nguyen and Yunru Bai
Adel Daoues, Amani Hammami and Kamel Saoudi
Variational approximation for fractional Sturm–Liouville problem
Prashant K. Pandey, Rajesh K. Pandey and Om P. Agrawal
The 2-adic derivatives and fractal dimension of Takagi-like function on 2-series field
Bo Wu
Syed Sabyel Haider and Mujeeb Ur Rehman
Weak solvability of the variable-order subdiffusion equation
Andrii Hulianytskyi
An averaging principle for stochastic differential equations of fractional order 0 < α < 1
Wenjing Xu, Wei Xu and Kai Lu
Applied Mathematics and Computation
(Selected)
Xianggang Liu, Li Ma
Mei Wang, Baoguo Jia, Churong Chen, Xiaojuan Zhu, Feifei Du
Hadi Jahanshahi, Amin Yousefpour, Jesus M. Munoz-Pacheco, Sezgin Kacar, Viet-Thanh Pham, Fawaz E. Alsaadi
New fractional variable-order creep model with short memory
Fei Wu, Renbo Gao, Jie Liu, Cunbao Li
New explicit and accelerated techniques for solving fractional order differential equations
Hyunju Kim, Keon Ho Kim, Seyeon Lee, Bongsoo Jang
Second-order sliding mode control for nonlinear fractional-order systems
Kalidass Mathiyalagan, G. Sangeetha
On a linearity between fractal dimension and order of fractional calculus in Hölder space
Junru Wu
Finite time complete synchronization for fractional-order multiplex networks
Xifen Wu, Haibo Bao
Yuan-Ming Wang, Xin Wen
Nyquist-based stability analysis of non-commensurate fractional-order delay systems
Shuo Zhang, Lu Liu, Dingyu Xue
Synchronization for fractional-order discrete-time neural networks with time delays
Yajuan Gu, Hu Wang, Yongguang Yu
Event-triggered impulsive chaotic synchronization of fractional-order differential systems
Nanxiang Yu, Wei Zhu
Junfeng Li, Xinhui Si, Botong Li, Limei Cao, Peipei Zhang
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Paper
Highlight
Fractional-order Passivity-based Adaptive Controller for A Robot Manipulator Type SCARA
J. E. Lavín-Delgado, S. Chávez-Vázquez, J. F. Gómez-Aguilar, G. Delgado-Reyes and M. A. Ruíz-Jaimes
Publication information: Fractals, Published 13 June 2020
https://doi.org/10.1142/S0218348X20400083
Abstract
In this paper, a novel fractional-order control strategy for the SCARA robot is developed. The proposed control is composed of (PI)𝜗
and a fractional-order passivity-based adaptive controller, based on the Caputo–Fabrizio and Atangana–Baleanu derivatives, respectively; both controls are robust to external disturbances and change in the desired trajectory and effectively enhance the performance of robot manipulator. The fractional-order dynamic model of the robot manipulator is obtained by using the Euler–Lagrange formalism, as well as the model of the induction motors which are the actuators that drive their joints. Through simulations results, the effectiveness and robustness of the proposed control strategy have been demonstrated. The performance of the fractional-order proposed control method is compared with its integer-order counterpart, composed of the PI controller and the conventional passivity-based adaptive controller, reported in the literature. The performance comparison results demonstrate the superiority and effectiveness of the fractional-order proposed control strategy for a SCARA robot manipulator.
Keywords:
Fractional Calculus, SCARA Robot, Induction Motor, Fractional-Order Passivity-Based Adaptive Control, Fractional-Order PI Controller, Caputo–Fabrizio Derivative, Atangana–Baleanu Integral
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Yuhui Zhang, Ji Lin, Sergiy Reutskiy, Hongguang Sun, Wenjie Feng
Publication information: Results in Physics,Volume 18,
1September 2020, 103231
10.1016/j.rinp.2020.103231
Abstract
In this paper, we make the first attempt to extend the improved backward substitution method for solving unsteady nonlinear coupled Burgers’ equations. The temporal variable is discretized by the Crank-Nicolson finite difference scheme. Then the improved backward substitution method is applied to solve the corresponding system. The solution to the discretized system is approximated by the primary approximation which is obtained from the boundary condition and its corresponding correcting solution. A simple iteration scheme is used to eliminate the non-linearity of considered problems. To illustrate the accuracy and efficiency, we consider five examples and results are compared with existing results in literatures. Numerical experiments demonstrate that the present method has potential for real engineering problems.
Keywords:
Meshless collocation method, Coupled Burgers’ equation, Radial basis function, Finite difference method
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The End of This Issue
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