FDA Express Vol. 46, No. 2,
FDA Express Vol. 46, No. 2, Feb. 28, 2023
All issues: http://jsstam.org.cn/fda/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: jyh17@hhu.edu.cn, fda@hhu.edu.cn
For subscription: http://jsstam.org.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol 46_No 2_2023.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
ICMFOS 2023: 17. International Conference on Mathematics for Fractional-Order Systems
Fractional Calculus and Hypergeometric Functions in Complex Analysis
◆ Books
Fractional-order Modeling and Control of Dynamic Systems
◆ Journals
Applied Mathematics and Computation
◆ Paper Highlight
◆ 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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Dynamical analysis fractional-order financial system using efficient numerical methods
By: Gao, W; Veeresha, P and Baskonus, HM
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Chanchlani, L; Agrawal, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Comprehending the model of omicron variant using fractional derivatives
By:Sharma, S; Goswami, P; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
First attempt of barrier functions for Caputo's fractional-order nonlinear dynamical systems
By:Zhu, ZR; Huang, PF; etc.
SCIENCE CHINA-INFORMATION SCIENCES Volume: 66 Published: Jul 2023
By: Kalemkerian, J
JOURNAL OF STATISTICAL PLANNING AND INFERENCE Volume: 225 Page:29-51 Published: Jul 2023
By:Gan, D and Zhang, GF
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 423 Published: May 15 2023
By:Hioual, A; Ouannas, A; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:423 Published:May 15 2023
By:Abdelkawy, MA; Soluma, EM; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:423 Published: May 15 2023
By: Hao, YJ; Zhang, MH; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 423 Published: May 15 2023
Passivity of fractional-order coupled neural networks with interval uncertainties
By:Qiu, HL; Cao, JD and Liu, H
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 205 Page:845-860 Published: Mar 2023
Lattice-based model for pricing contingent claims under mixed fractional Brownian motion
By:Costabile, M; Massabo, I; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 118 Published: Apr 2023
By: Manfredini, M; Palatucci, G; etc.
JOURNAL OF GEOMETRIC ANALYSIS Volume: 33 Published: Mar 2023
A bridge on Lomnitz type creep laws via generalized fractional calculus
By:Ma, L and Li, J
APPLIED MATHEMATICAL MODELLING Volume:116 Page:786-798 Published: Apr 2023
By:Xu, CJ; Mu, D; (...); etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume:118 Published: Apr 2023
Zooming optimization for fractional Fourier holographic parallel laser microprocessing
By: Wang, J; Zhang, FY; etc.
OPTICS AND LASER TECHNOLOGY Volume:159 Published: Apr 2023
L1 scheme for solving an inverse problem subject to a fractional diffusion equation
By:Li, BJ; Xie, XP and Yan, YB
COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume:134 Page: 112-123 Published: Mar 15 2023
By:Dussel, IC and Bonder, JF
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 519 Published:Mar 15 2023 |
By:Sun, YH; Gao, XZ; etc.
EXPERT SYSTEMS WITH APPLICATIONS Volume: 214 Published: Mar 15 2023
Spectrum-based stability analysis for fractional-order delayed resonator with order scheduling
By:Cai, JZ; Liu, YF; etc.
JOURNAL OF SOUND AND VIBRATION Volume: 546 Published: Mar 3 2023
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Call for Papers
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ICMFOS 2023: 17. International Conference on Mathematics for Fractional-Order Systems
( August 24-25, 2023 in Paris, France)
Dear Colleagues: International Conference on Mathematics for Fractional-Order Systems aims to bring together leading academic scientists, researchers and research scholars to exchange and share their experiences and research results on all aspects of Mathematics for Fractional-Order Systems. It also provides a premier interdisciplinary platform for researchers, practitioners and educators to present and discuss the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of Mathematics for Fractional-Order Systems.
Keywords:
- Fractional-order systems
- Fractional-order operators
- Fractional-order controllers
- Fractional systems theory
- Discrete-time fractional-order systems
- Fractional order chaotic systems
- Fractional positive linear systems
- Analog and digital realization of nonlinear fractional order systems
- Bifurcation analysis and control
- Chaos analysis, control and anti-control
- Chaos modeling and control applications
- Control and synchronization of complex networks
- Discrete chaotic maps and their applications
- Fractional order modelling of physical systems
- Fractional system identification and optimization
- Fuzzy fractional order controller
- Nonlinear circuit analysis and applications
- Random number generators and encryption in integer and fractional order domains
Organizers:
Kahina Louadj, IRIT, Toulouse Institute for Research in Computer Science, France
Zeinab Awada, Gustave Eiffel University, France
Omar Hassoon, ENSTA Bretagne, France
Guest Editors
Important Dates:
Deadline for conference receipts: February 28, 2023
All details on this conference are now available at: https://waset.org/mathematics-for-fractional-order-systems-conference-in-august-2023-in-paris.
Fractional Calculus and Hypergeometric Functions in Complex Analysis
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional calculus has had a powerful impact on recent research, having many applications in different branches of science and engineering. Various branches of mathematics are also influenced by fractional calculus. Applications in complex analysis research are comprehensive, and interesting new results have been obtained in studies involving univalent functions theory.
This Special Issue aims to gather new research outcomes combining this prolific tool with another that generates exciting results when integrated into studies: hypergeometric functions.
The study of hypergeometric functions dates back 200 years. They appear in the work of Euler, Gauss, Riemann, and Kummer. Interest in hypergeometric functions has grown in the last few decades due to hypergeometric functions’ applications in a large variety of scientific domains and many areas of mathematics. Hypergeometric functions were linked to the theory of univalent functions by L. de Branges’ proof of Bieberbach’s conjecture, published in 1985, which uses the generalized hypergeometric function. After this connection was established, hypergeometric functions was studied intensely using geometric function theory.
Quantum calculus is also involved in studies alongside fractional calculus tools and different hypergeometric functions.
Researchers interested in any of these topics or a combination of them and their applications in different areas concerning complex analysis are welcome to submit their findings and contribute to the success of this Special Issue.
Topics include but are not limited to:
- New definitions and applications in fractional calculus operators;
- Applications of fractional calculus involving hypergeometric functions in geometric function theory;
- Orthogonal polynomials, including Jacobi and their special functions, including Legendre polynomials, Chebyshev polynomials, and Gegenbauer polynomials;
- Applications of logarithmic, exponential, and trigonometric functions regarding univalent functions theory;
- Applications of gamma, beta, and digamma functions;
- Applications of fractional calculus and hypergeometric functions in differential subordinations and superordinations and their special forms of strong differential subordination and superordination and fuzzy differential subordination and superordination;
- Applications of quantum calculus involving fractional calculus in geometric function theory;
- Applications of quantum calculus involving hypergeometric functions in complex analysis.
Keywords:
- Univalent functions
- Special functions
- Fractional operators
- Differential subordination
- Differential superordination
- Quantum calculus
Organizers:
Prof. Dr. Gheorghe Oros
Dr. Georgia Irina Oros
Guest Editors
Important Dates:
Deadline for manuscript submissions: 15 March 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FCHF.
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Books
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Fractional-order Modeling and Control of Dynamic Systems
( Authors: Aleksei Tepljakov )
Details:https://doi.org/10.1007/978-3-319-52950-9
Book Description:
This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.
Author Biography:
Aleksei Tepljakov, Faculty of Information Technology, Tallinn University of Technology Faculty of Information Technology, Tallinn, Estonia
Contents:
Front Matter
Introduction
Abstract; State of the Art; Motivation and Problem Statement; Author’s Contributions; Thesis Outline; Notes; References;
Preliminaries
Abstract; Mathematical Basis; Fractional-Order Models; Approximation of Fractional-Order Operators; Fractional-Order Controllers; Optimization Methods; References;
Identification of Fractional-Order Models
Abstract; System Identification Fundamentals; Open-Loop Identification in the Time Domain; Closed-Loop Identification in the Time Domain; Frequency Domain Identification in Automatic Tuning Applications for Process Control; Conclusions; References;
Fractional-Order PID Controller Design
Abstract; Optimization Based Controller Design; Gain and Order Scheduling; Stabilization of Unstable Plants; Retuning FOPID Control for Existing PID Control Loops; Control Loop Analysis and Controller Design in the Frequency Domain for Automatic Tuning Applications in Process Control; Conclusions; References;
Implementation of Fractional-Order Models and Controllers
Abstract; An Update to Carlson’s Approximation Method for Analog Implementations; Efficient Analog Implementation of Fractional-Order Models and Controllers; Digital Implementation of Fractional-Order Controllers; Experimental Platform for Real-Time Closed-Loop Simulations of Control Systems; Development of a Hardware FOPID Controller Prototype; Conclusions; References;
FOMCON: Fractional-Order Modeling and Control Toolbox
Abstract; Overview of the Toolbox; Identification Module; Control Module; Implementation Module; Conclusions; References;
Applications of Fractional-Order Control
Abstract; Fluid Level Control in a Multi Tank System; Retuning Control of a Magnetic Levitation System; Control of Ion-Polymer Metal Composite Actuator; Conclusions; References;
Conclusions
Abstract; References;
Back Matter
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Journals
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Dynamical analysis of a fractional discrete-time vocal system
D. Vignesh, Santo Banerjee
Lingyu Wang, Ben Gao
Xiaoqin Bai, Rongcao Yang, Heping Jia, Juan Bai
Boqiang Cao, Xiaobing Nie, Jinde Cao, Peiyong Duan
M. Vellappandi, Pushpendra Kumar, V. Govindaraj
On fractional coupled logistic maps: chaos analysis and fractal control
Yupin Wang, Shutang Liu, Aziz Khan
Anna Maslovskaya, Lubov Moroz
Lei Wang, Da-Yan Liu, Olivier Gibaru
Online system identification using fractional-order Hammerstein model with noise cancellation
Mohammad Jahani Moghaddam
Emergence of diverse dynamical responses in a fractional-order slow–fast pest–predator model
Subhashis Das, Sanat Kumar Mahato, Argha Mondal, Eva Kaslik
Jan Freundlich, Danuta Sado
Ahmed S. Hendy, Mahmoud A. Zaky, Karel Van Bockstal
R. Mbakob Yonkeu, B. A. Guimfack, C. B. Tabi, A. Mohamadou
Modeling and bifurcation of a four-dimensional fractional-order competition website model with delay
Lixin Zhao, Chengdai Huang, Xinyu Song
Kang Li, Zhijun Tan
Applied Mathematics and Computation
( Selected )
Monika MuszkietaJoanna Janczura
Mingyu Liu,Jing Xie,Yonggui Kao
Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients
Hong Yang, Cheng-Xue Lao, Zi-Hang She
Fast Q1 finite element for two-dimensional integral fractional Laplacian
Yi Yang,Jin Huang,etc.
Hybridizable discontinuous Galerkin methods for space-time fractional advection-dispersion equations
Jingjun Zhao, Wenjiao Zhao, Yang Xu
Controllability Results for a Class of Piecewise Nonlinear Impulsive Fractional Dynamic Systems
Vipin Kumar, Gani Stamov, Ivanka Stamova
Parameter estimation of linear fractional-order system from laplace domain data
Tao Zhang,Zhong-rong Lu, etc.
Lin Zhu, Nabing Liu, Qin Sheng
Weiying Shang, Weiwei Zhang
Yadong Zhang, Minfu Feng
Yingying Xie, Daopeng Yin, Liquan Mei
On fractional discrete p-Laplacian equations via Clark’s theorem
Chunming Ju, Binlin Zhang
Implementation of fractional-order difference via Takenaka-Malmquist functions in a Banach space
Rafał Stanisławski, Kamil Kozioł, Marek Rydel
Backstepping control for fractional discrete-time systems
Yu Yao, Li-Bing Wu
Xuefeng Zhang, Shunan Chen, etc.
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Paper Highlight
Dynamics of dual-mode bedload transport with three-dimensional alternate bars migration in subcritical flow: Experiments and model analysis Zhipeng Li, Mehrdad Kiani Oshtorjani, Dong Chen, Yong Zhang, Hongguang Sun
Publication information: Journal of Geophysical Research: Earth Surface, February 2023.
https://doi.org/10.1029/2022JF006882
Abstract
Bedload transport often exhibits dual-mode behavior due to interactions of spatiotemporal controlling factors with the migrating 3-D bedforms (characterized by the fully developed patterns in the bed, such as alternate bars, pools, and clusters). This study explores dual-mode bedload transport based on experimental measurements and develops Einstein’s exponential-based model to characterize large fluctuations of bedload sediment discharge. The particle waiting time, particle flux, and bed elevation are measured in a series of well-controlled laboratory experiments. Flume experiments show that the waiting time distribution of sediments gives a bimodal characteristic, two distinct modes can be identified from the measured data. This study encapsulates this dual-mode bedload transport behavior in a hyperexponential distribution of sediment resting times and introduces it into the continuous time random walk (CTRW) framework. Considering the scaling limit of the thin/heavy-tailed CTRW processes, a single-rate mass transfer (SRMT) and fractional-derivative SRMT (F-SRMT) models are obtained, and the model parameters are determined from the hyperexponential distribution. Further analyses reveal that the dual-mode bedload transport behavior is controlled by mass exchange between the mobile and immobile zones, and a dimensionless index η can quantify the intensity of dual-mode behavior. Applications show that the dual-mode bedload transport models are much more accurate in characterizing bedload transport in a mixed-size gravel bed than the traditional exponential-based model, and the non-local movement of bedload sediments is significant in the mixed-size gravel bed. Further investigations will focus on the applicability test of the dual-mode models to other flow regimes and conditions.
Key Points
PDFs of the particle waiting time measured in the flume experiments exhibit a18bimodal feature; A novel formula of resting time is developed to characterize the observed dual-mode20bedload transport behavior in experiments; Experimental observations guide the development of stochastic and determinis-22tic models for dual-mode bedload transport
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A. Somer a, S. Galovic b, E.K. Lenzi a, A. Novatski a, K. Djordjevic
Temperature profile and thermal piston component of photoacoustic response calculated by the fractional dual-phase-lag heat conduction theory
Publication information: International Journal of Heat and Mass Transfer Volume 203, April 2023, 123801.
https://doi.org/10.1016/j.ijheatmasstransfer.2022.123801
Abstract
We present the temperature distribution predictions for photothermal systems by considering an extension of dual-phase lag. It is an extension of the GCE-II and GCE-III models with a fractional dual-phase lag from kinetic relaxation time. Solving the one-dimensional problem considering a planar and periodic excitation, we obtained the temperature distribution and the Photoacoustic (PA) signal for the transmission setup. We also analyze the effects of fractional order derivatives and kinetic relaxation time. It is shown that the derived models have promising results that could be used to explain the experimentally observed behavior of PA signals measured on thin films with an inhomogeneous internal structure.
Keywords
Photothermal; Thermal diffusion; Subdiffusion; Superdiffusion; Generalized cattaneo equation
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