FDA Express Vol. 49, No. 2
FDA Express Vol. 49, No. 2, Nov. 30, 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 49_No 2_2023.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
12th Conference on Fractional Differentiation and its Applications
Recent Advances in Fractional-Order Neural Networks: Theory and Application
◆ Books ◆ Journals Applied Mathematical Modelling ◆ Paper Highlight
Simulating hyperelasticity and fractional viscoelasticity in the human heart
Nonergodicity of confined superdiffusive fractional Brownian motion theory
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Variable-Order Fractional Scale Calculus
By: Duarte Valério and Manuel D. Ortigueira
MATHEMATICS Volume: 11 Published: Nov 2023
On the Fractional Derivative Duality in Some Transforms
By:Manuel Duarte Ortigueira, Gabriel Bengochea
MATHEMATICS Volume: 11 Published: Oct 2023
An Operational Approach to Fractional Scale-Invariant Linear Systems
By:Gabriel Bengochea ,Manuel Duarte Ortigueira
Fractal and Fractional Volume: 7 Published: July 2023
Discrete-Time Fractional Difference Calculus: Origins, Evolutions, and New Formalisms
By:Manuel Duarte Ortigueira
Fractal and Fractional Volume: 7 Published: June 2023
Renewal processes linked to fractional relaxation equations with variable order
By:Beghin, L; Cristofaro, L and Garrappa, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 531 Published: Mar 1 2024 |
By:Qing, NN; Yang, YQ; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 464 Published: Mar 1 2024
By:Roy, S; Das, S;
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume:71 Page:2465-2476 Published:Mar 2024
By:Baghani, H and Nieto, JJLu, GH; Tao, SP and Wang, MM
ANNALS OF FUNCTIONAL ANALYSIS Volume:15 Published: Mar 2024
By: Chen, JX and Luo, CY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 530 Published: Feb 15 2024
By:Yan, ZM
APPLIED MATHEMATICS AND OPTIMIZATION Volume: 89 Published: Feb 2024
Viscoelastic phenomena in methylcellulose aqueous systems: Application of fractional calculus
By:Miranda-Valdez, IY; Puente-Córdova, JG; etc.
FOOD HYDROCOLLOIDS Volume: 147 Published: Feb 2024
Fractional-order PID controller for blood pressure regulation using genetic algorithm
By: Krishna, PS and Rao, PVGK
BIOMEDICAL SIGNAL PROCESSING AND CONTROL Volume:88 Published: Feb 2024
By: Masti, I and Sayevand, K
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:216 Page:263-287 Published:Feb 2024
Fractional Scale Calculus: Hadamard vs. Liouville
By:Manuel D. Ortigueira and Gary W. Bohannan
Fractal and Fractional Volume: 7 Published: March 2023
By:Vivek, S and Vijayakumar, V
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Feb 2024
Existence and Multiplicity of Solutions for Fractional κ(ξ)-Kirchhoff-Type Equation
By:Sousa, JVD; Kucche, KD and Nieto, JJ
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Feb 2024
By:Li, HL; Cao, JD; etc.
FUZZY SETS AND SYSTEMS Volume: 475 Published:Jan 15 2024
Fractional ordering of activation functions for neural networks: A case study on Texas wind turbine
By:Ramadevi, B; Kasi, VR and Bingi, K
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE Volume: 127 Published: Jan 2024
By:Barary, Z; Cherati, AY and Nemati, S
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 128 Published: Jan 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
12th Conference on Fractional Differentiation and its Applications
( July 9-12, 2024 in Bordeaux, France )
Dear Colleagues: The FDA (Fractional Differentiation and its Applications) steering community is composed of individuals from diverse backgrounds, and regions who work on Fractional Calculus. Members of the committee are selected for their expertise in relevant fields and their ability to contribute to the success of the ICFDA future conferences. Together, the steering committee, with the local organizing committee, are responsible for making decisions regarding the structure and content of the conference, developing the program, selecting keynote speakers and presenters, and overseeing the logistics of the event.
Keywords:
- Automatic Control
- Biology
- Electrical Engineering
- Electronics
- Electromagnetism
- Electrochemistry
- Epidemics
- Finance and Economics
- Fractional-Order Calculus and Artificial Intelligence
- Fractional-Order Dynamics and Control
- Fractional-Order Earth Science
- Fractional-Order Filters
- Fractional-Order Modeling and Control in Biomedical Engineering
- Fractional-Order Phase-Locked Loops
- Fractional-Order Variational Principles
- Fractional-Order Transforms and Their Applications
- Fractional-Order Wavelet Applications to the Composite Drug Signals
- History of Fractional-Order Calculus
- Fractional-Order Image Processing
- Mathematical methods
- Mechanics
- Modeling
- Physics
- Robotics
- Signal Processing
- System identification
- Stability
- Singularities Analysis and Integral Representations for Fractional Differential Systems
- Special Functions Related to Fractional Calculus
- Thermal Engineering
- Viscoelasticity
Organizers:
Pierre Melchior (France) Bordeaux INP, France
Eric Lalliard Malti (France) Stellantis, France
Stéphane Victor (France) Université de Bordeaux, France
Guest Editors
Important Dates:
Deadline for conference receipts: Dec. 20, 2023
All details on this conference are now available at: https://icfda2024.sciencesconf.org.
Recent Advances in Fractional-Order Neural Networks: Theory and Application
( A special issue of Fractal and Fractional )
Dear Colleagues: The field of fractional-order neural networks refers to research that incorporates the concepts of fractional calculus into the related theory and application of neural networks. It is introduced to accurately describe the physical process and system state with heredity and memorability. With the in-depth study of fractional-order neural network models and dynamics analysis (e.g., stability, synchronization, bifurcation), more control methods and control techniques are applied to these systems, which will enrich the theoretical system of fractional-order neural networks. Additionally, fractional-order neural networks have infinite memory properties, which can further improve the design, characterization, and control capabilities of network models for many practical problems. These concepts have great application prospects and research value in biological nervous systems, circuit design and simulation, artificial intelligence, and other fields.
The focus of this Special Issue is to continue to advance research on topics relating to the theory, control, design, and application of fractional-order neural networks. Topics that are invited for submission include (but are not limited to):
- Fractional-order neural network model;
- Dynamic analysis and control of fractional-order neural networks;
- Circuit design and simulation of fractional-order neural networks;
- Applications of fractional-order neural networks for biology and biomedicine;
- Applications of fractional-order circuit models for artificial intelligence.
Keywords:
- Fractional calculus
- Dynamics analysis
- Biological nervous system
- Circuit design and simulation
- Artificial intelligence
Organizers:
Prof. Dr. Zhouchao Wei
Dr. Lulu Lu
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 December 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/RAFONNTA.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models
( Authors: Vishwesh Vyawahare , Paluri S. V. Nataraj)
Details:https://doi.org/10.1007/978-981-10-7587-2 Book Description: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems.Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.
Author Biography:
Vishwesh Vyawahare Ramrao Adik Institute of Technology, Navi Mumbai, India
Paluri S. V. Nataraj Indian Institute of Technology Bombay, Mumbai, India
Contents:
Front Matter
Fractional Calculus
Abstract; Introduction; Special Functions in Fractional Calculus; Fractional-order Integrals and Derivatives: Definitions; Fractional-order Differential Equations; Fractional-order Systems; Chapter Summary;
Introduction to Nuclear Reactor Modeling
Abstract; Introduction; Nuclear Reactor Theory; Slab Reactor; Mathematical Modeling of Nuclear Reactor; Anomalous Diffusion; Fractional Calculus Applications in Nuclear Reactor Theory; Chapter Summary;
Development and Analysis of Fractional-order Neutron Telegraph Equation
Abstract; Introduction; Motivation; Derivation of FO Neutron Telegraph Equation Model; Analysis of Mean-Squared Displacement; Solution Using Separation of Variables Method; Chapter Summary;
Development and Analysis of Fractional-order Point Reactor Kinetics Model
Abstract; Introduction; Point Reactor Kinetics Model; Derivation of FPRK Model; Solution of FPRK Model with One Effective Delayed Group; Chapter Summary;
Further Developments Using Fractional-order Point Reactor Kinetics Model
Abstract; Introduction; Fractional Inhour Equation; Inverse FPRK Model; Constant Delayed Neutron Production Rate Approximation; Prompt Jump Approximation; Zero Power Transfer Function of the Reactor; Chapter Summary;
Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback
Abstract; Introduction; Modeling of Reactivity Feedback in a Reactor; Fractional-order Nordheim–Fuchs Model; FPRK Model with Reactivity Feedback (Below Prompt Critical); Linearized FO Model with Reactivity Feedback; Chapter Summary;
Development and Analysis of Fractional-order Two-Group Models and Fractional-order Nodal Model
Abstract; Introduction; IO Two-Group Diffusion Model; Fractional-order Two-Group Telegraph-Subdiffusion Model; Fractional-order Two-Group Subdiffusion Model; Fractional-order Nodal Model; Chapter Summary;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Applied Mathematical Modelling (Selected) Xiaoya Li, Huaishuang Shao Xiangyu Sha, Aizhong Lu, Ning Zhang Ruifan Meng, Liu Cao, Qindan Zhang Xiaolong Zhang, Congjun Rao, Xinping Xiao, Fuyan Hu, Mark Goh Wanli Xie, Wen-Ze Wu, Zhenguo Xu, Caixia Liu, Keyun Zhao Peng-Fei Qu, Qi-Zhi Zhu, Li-Mao Zhang, Wei-Jian Li, Tao Ni, Tao You Samuel Chávez-Vázquez, Jorge E. Lavín-Delgado, José F. Gómez-Aguilar, etc. Slađan Jelić, Dušan Zorica Yunfei Gao, Bin Zhao, Mao Tang, Deshun Yin Toungainbo Cédric Kamdem, Kol Guy Richard, Tibi Béda Li Ma, Jing Li Emmanuel Addai, Lingling Zhang, Joshua K.K. Asamoah, John Fiifi Essel Hongbo Liu, Guoliang Dai, Fengxi Zhou, etc. Yong Gao, Hao Zhang, Xiao Chen, etc. Jian Deng, Mahesh Pandey ( Selected ) Chuang Yang, Zhe Gao, Haoyu Chai,etc. Chunlei Liu, Hongwei Wang, Qian Zhang, etc. Shaobo He, D. Vignesh, Lamberto Rondoni, etc. Renjie Han Oscar Martínez-Fuentes, Aldo Jonathan Muñoz-Vázquez, Guillermo Fernández-Anaya, etc. Mehran Rahmani & Sangram Redkar Aloisi Somer, Andressa Novatski, Gerson Kniphoff da Cruz,etc. Feifei Du & Jun-Guo Lu Lihua Dai, Xianning Liu & Yuming Chen Bichitra Kumar Lenka & Swaroop Nandan Bora Yongzhi Sheng, Jiahao Gan & Lei Xia Tao Zhang, Zhong-rong Lu, Ji-ke Liu, etc. Liping Chen, Xiaomin Li, António M. Lopes,etc. Sachin, Phool Singh & Kehar Singh Xiaona Song, Peng Sun, Shuai Song & Vladimir Stojanovic Mark Edelman ======================================================================== Paper Highlight Simulating hyperelasticity and fractional viscoelasticity in the human heart Will Zhang, Javiera Jilberto, Gerhard Sommer, Michael S. Sacks, Gerhard A. Holzapfel, David A. Nordsletten
Analysis of layered soil under general time-varying loadings by fractional-order viscoelastic model
The fractional neural grey system model and its application
Trajectory tracking of Stanford robot manipulator by fractional-order sliding mode control
New description of the mechanical creep response of rocks by fractional derivative theory
A bridge on Lomnitz type creep laws via generalized fractional calculus
A fractional order age-specific smoke epidemic model
Chaos and firing patterns in a discrete fractional Hopfield neural network model
Fractional robust data-driven control of nonlinear MEMS gyroscope
Global dynamics of a fractional-order SIS epidemic model with media coverage
New comparison results for nonlinear Caputo-type real-order systems with applications
Leader–follower consensus of uncertain variable-order fractional multi-agent systems
Nonlinear image authentication algorithm based on double fractional Mellin domain
Stability of fixed points in generalized fractional maps of the orders 0<α<1
Publication information: Computer Methods in Applied Mechanics and Engineering Volume 411, 1 June 2023, 116048.
https://doi.org/10.1016/j.cma.2023.116048 Abstract Biomechanics plays an important role in the diagnosis and treatment of pathological conditions of the heart. Computational models are paving the way for personalized therapeutic treatment but they rely on accurate constitutive equations for predicting their biomechanical behavior. Even so, viscoelasticity remains under-explored in computational modeling despite experimental observations. To facilitate the viscoelastic modeling of cardiovascular soft tissues, we previously developed a fractional viscoelastic modeling approach, which extends existing hyperelastic models. This has comparable computational costs to the conventional hyperelastic model and only requires two additional material parameters for the viscoelastic response. This approach was demonstrated to be able to accurately capture the viscoelastic response of the human myocardium. However, the numerical properties of this fractional viscoelastic approach have not yet been examined. In this work, we present its implementation in Finite Element Analysis, examine its numerical properties in uniaxial extension and 2D inflation test examples, and examine its physiological implication in a computational model of an idealized left ventricle in a fully idealized circulatory system. Optimal convergence properties were observed and the importance of viscoelasticity during passive filling, ventricular motion, and regional fiber strain and stresses were explained. Keywords Viscoelasticity; Cardiac biomechanics; Cardiac modeling; Computational modeling; Fractional viscoelasticity －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Nonergodicity of confined superdiffusive fractional Brownian motion Yingjie Liang, Wei Wang, Ralf Metzler, and Andrey G. Cherstvy Publication information: November 2023Physical Review E 108(5):L052101. Abstract Using stochastic simulations supported by analytics we determine the degree of nonergodicity of box-confined fractional Brownian motion for both sub- and superdiffusive Hurst exponents H. At H>1/2 the nonequivalence of the ensemble- and time-averaged mean-squared displacements (TAMSDs) is found to be most pronounced (with a giant spread of individual TAMSDs at H→1), with two distinct short-lag-time TAMSD exponents. ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
https://doi.org/10.1103/PhysRevE.108.L052101
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