FDA Express Vol. 48, No. 2
FDA Express Vol. 48, No. 2, Aug. 31, 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 48_No 2_2023.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
12th Conference on Fractional Differentiation and its Applications
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application
◆ Books Fractional Dynamics, Anomalous Transport and Plasma Science ◆ Journals Communications in Nonlinear Science and Numerical Simulation Journal of Scientific Computing ◆ Paper Highlight
Constitutive modeling of human cornea through fractional calculus approach
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Variable-order fractional calculus: A change of perspective
By: Roberto Garrappa, Andrea Giusti, etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 102 Published: November 2021
By:Al-Jarrah, A; Alquran, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Rakah, M; Gouari, Y; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Exploring the role of fractal-fractional operators in mathematical modelling of corruption
By:Awadalla, M; Rahman, MU; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Obeid, M; Abd El Salam, MA and Younis, JA
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Artificial neural network for solving the nonlinear singular fractional differential equations
By:Althubiti, S; Kumar, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Linearized transformed L1 finite element methods for semi-linear time-fractional parabolic problems
By:Han, YX; Huang, X; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume:258 Published:Dec 31 2023
By:Bahrami-Chenaghlou, F; Habibzadeh-Sharif, A and Ahmadpour, A
OPTICS AND LASER TECHNOLOGY Volume:167 Published: Dec 2023
Qualitative Behaviour of a Caputo Fractional Differential System
By: Fan, RX; Yan, N; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 22 Published: Dec 2023
Controllability Results of Hilfer Fractional Derivative Through Integral Contractors
By:Jothimani, K; Valliammal, N; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 22 Published: Dec 2023
By:Dong, JB; Wu, Y; etc.
GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES Volume: 9 Published: Dec 2023
A new X-ray images enhancement method using a class of fractional differential equation.
By: Aldoury, Rasha Saad; Al-Saidi, Nadia M G; etc.
METHODSX Volume:11 Published: 2023-06-22
By:Li, XM; Zhou, SW; etc.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE Volume:126 Published:Nov 2023
By:Jelic, S and Zorica, D
APPLIED MATHEMATICAL MODELLING Volume: 123 Page:688-728 Published: Nov 2023
By:Wang, Y; Sun, L; etc.
ENERGY Volume:282 Published: Nov 1 2023
QRFODD: Quaternion Riesz fractional order directional derivative for color image edge detection
By:Kaur, K; Jindal, N and Singh, K
SIGNAL PROCESSING Volume:212 Published: Nov 2023
Improved Sliding DFT Filter With Fractional and Integer Frequency Bin-Index
By:Tyagi, T
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 70 Page:11831-11836 Published:Nov 2023
By:Chinnaboon, B; Panyatong, M and Chucheepsakul, S
COMPOSITE STRUCTURES Volume: 322 Published: Oct 15 2023
By:Hu, LL; Yu, H and Xia, XH
INFORMATION SCIENCES Volume: 646 Published: Oct 2023
========================================================================== 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: Oct. 31, 2023
All details on this conference are now available at: https://icfda2024.sciencesconf.org.
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application
( A special issue of Fractal and Fractional )
Dear Colleagues: Differential equations with fractional-order derivatives have important applications in physics, chemistry, control systems, signal processing, etc. Fractional diffusion models are fundamental mathematical models for the evolution of probability densities. Analytical methods for solving such equations are rarely effective, so it is often necessary to use numerical methods.
This Special Issue will be devoted to collecting recent results on theory, numerical methods and application of fractional diffusion equations and other fractional differential equations. Topics that are invited for submission include (but are not limited to):
- Theoretical results and numerical methods for fractional diffusion equations;
- Application of fractional diffusion equations;
- Numerical methods for fractional oscillating differential equations;
- Approximation methods for nonsmooth functions;
- Numerical methods for singular integral equations;
- Models for fractional differential equations;
- Theory and numerical methods for fractional-order system identification;
- Application of fractional-order system identification.
Keywords:
- Fractional diffusion equations
- Fractional oscillating differential equations
- Nonsmooth functions
- Singular integral equations
- Fractional-order system identification
- Modeling
- Application
Organizers:
Prof. Dr. Boying Wu
Prof. Dr. Xiuying Li
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 September 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/fract_diff_equ.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Christos H. Skiadas )
Details:https://doi.org/10.1007/978-3-030-04483-1 Book Description: This book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff.
The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and Lévy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut¸ and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.
Author Biography:
Christos H. Skiadas ManLab, Technical University of Crete, Chania, Crete, Greece
Contents:
Front Matter
From Branly Coherer to Chua Memristor
Abstract; The Origin of Arc Plasma Science; The Birth of Wireless Telegraphy; Coherer-Based Computer Memories; Branly Coherer: The Very First Memristor; Conclusion; Notes; References;
Magnetron Modes and the Chimera State
Abstract; Introduction; Why Build a Magnetron; The Magnetron Family; The Military Imperative; Post WWII Magnetron Development and Use; Frequency Stability and Noise; Summary; References;
The Fokker-Planck Equation and the First Exit Time Problem. A Fractional Second Order Approximation
Abstract; The Stochastic Model; General Solution; Specific Solution; A First Approximation Form; A Second Order Fractional Correction; Summary and Conclusions; References;
Anomalous Diffusion by the Fractional Fokker-Planck Equation and Lévy Stable Processes
Abstract; Introduction; Modelling of Anomalous Diffusion by the Langevin Equation; Modelling Anomalous Transport; Summary and Conclusions; References;
Analysis of Low-Frequency Instabilities in Low-Temperature Magnetized Plasmap
Abstract; Introduction; Hallmarks of Fractality; Potential Relaxation Instability; Electrostatic Ion-Cyclotron Instability; Interaction Between Potential Relaxation Instability and Electrostatic Ion-Cyclotron Instability; Experimental Confirmation of the Interaction Between Potential Relaxation Instability and Electrostatic Ion-Cyclotron Instability; Conclusions; References;
Theoretical Modeling of the Interaction Between Two Complex Space Charge Structures in Low-Temperature Plasma
Abstract; Introduction; Theoretical Investigations of the Electronic Oscillations in Discharge Plasmas; Experimental Investigations of Space Charge Structures Generated in a Spherical Cathode with an Orifice; Conclusion; References;
Some Applications of Fractional Derivatives in Many-Particle Disordered Large Systems
Abstract; Introduction; The Liouville Fractional Derivative with Respect to Time in Quantum Equations; The Riesz Fractional Derivative with Respect to the Spatial Coordinate in the Equation for the Green’s Function; Fractional Analysis of Instability in a Gas Discharge; Conclusion; Notes; References;
Similarities Between Dynamics at Atomic and Cosmological Scales
Abstract; On a Multifractal Theory of Motion in a Non-differentiable Space; Consequences of Non-differentiability on a Space Manifold; Fractal Fluid Geodesics; Fractality and Its Implications; Fractal Geodesics in the Schrödinger Type Representation. Applications; Fractal Motions in Central Field; Quantifiable Dynamics at Infragalactic Scale Resolutions. Theoretical and Experimental Aspects; Quantifiable Dynamics at Extragalactic Scale Resolutions. Theoretical and Experimental Aspects; Atomic-Planetary Nebulae Analogies; Phase and Group Velocities. Fractal Type Uncertainty Relations and Their Implications; Concluding Remarks; References;
Plasma Perturbations and Cosmic Microwave Background Anisotropy in the Linearly Expanding Milne-Like Universe
Abstract; Introduction; Perturbations of Plasma and Vacuum; CMB Spectrum; Results and Discussion; Notes; References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Communications in Nonlinear Science and Numerical Simulation (Selected) Qing-Hao Zhang, Jun-Guo Lu Panqing Gao, Hai Zhang, Renyu Ye, Ivanka Stamova, Jinde Cao Arcady Ponosov, Lev Idels, Ramazan I. Kadiev Hamed Mohebalizadeh, Hojatollah Adibi, Mehdi Dehghan Parisa Rahimkhani Fei Wang, Chuan Zhang, Ning Li Yiheng Wei, Linlin Zhao, Yidong Wei, Jinde Cao Yao Xu, Wenbo Li, Chunmei Zhang, Wenxue Li Yuling Guo, Zhongqing Wang A. Khatoon, A. Raheem, A. Afreen Niharika Bhootna, Monika Singh Dhull, Arun Kumar, Nikolai Leonenko Hui-Min Zhu, Jia Zheng, Zhi-Yong Zhang Jiarong Zuo, Juan Yang Toufik Bentrcia, Abdelaziz Mennouni Shengda Zeng, Tahar Haddad, Abderrahim Bouach Journal of Scientific Computing ( Selected ) Wenyu Lei, George Turkiyyah & Omar Knio Bengt Fornberg & Cécile Piret Roberto Garrappa & Andrea Giusti Hongfei Fu, Bingyin Zhang & Xiangcheng Zheng Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov & Baoli Yin Lalit Kumar, Sivaji Ganesh Sista & Konijeti Sreenadh Yun-Chi Huang, Lot-Kei Chou & Siu-Long Lei Wei Fan, Xindi Hu & Shengfeng Zhu Jing Sun, Daxin Nie & Weihua Deng Zheng Yang & Fanhai Zeng Yao-Yuan Cai, Hai-Wei Sun & Sik-Chung Tam Zhiyong Xing & Liping Wen Zheng Ma & Chengming Huang Dongdong Hu, Yayun Fu, Wenjun Cai & Yushun Wang Shengyue Li & Wanrong Cao ======================================================================== Paper Highlight Quantifying nonlocal bedload transport: A regional-based nonlocal model for bedload transport from local to global scales ZhiPeng Li, Saiyu Yuan, Hongwu Tang, Yantao Zhu, HongGuang Sun
Robust stability of fractional-order systems with mixed uncertainties: The 0< ɑ<1 case
Lyapunov theorem for stability analysis of nonlinear nabla fractional order systems
Approximate solutions for neutral stochastic fractional differential equations
Humbert generalized fractional differenced ARMA processes
Approximate symmetry of time-fractional partial differential equations with a small parameter
Approximation properties of residual neural networks for fractional differential equations
Well-posedness of fractional Moreau’s sweeping processes of Caputo type
Finite Element Discretizations for Variable-Order Fractional Diffusion Problems
Computation of Fractional Derivatives of Analytic Functions
A Computational Approach to Exponential-Type Variable-Order Fractional Differential Equations
A Corrected L1 Method for a Time-Fractional Subdiffusion Equation
Fractional Collocation Method for Third-Kind Volterra Integral Equations with Nonsmooth Solutions
Publication information: Advances in Water Resources Volume 177, July 2023, 104444.
https://doi.org/10.1016/j.advwatres.2023.104444 Abstract Recent studies have emphasized the importance of nonlocal models in characterizing bedload transport in natural rivers, particularly in mixed-size gravel beds or steep hillslopes. Nonlocality denotes that a quantity (flux) at a specific location is dependent on the conditions in the surrounding area, as opposed to solely at the location itself. This concept applies in bedload transport even in planar flumes, where particles are entrained at an upstream position and travel a finite distance, ultimately contributing nonlocally to the sediment flux. However, existing bedload transport models, such as the advection–diffusion equation (ADE) or the fractional derivative equation (FDE) models, are inadequate in characterizing the nonlocal transport behavior of bedload at a regional scale. Large errors may arise from the lack of an accurate description of the nonlocal bedload transport processes at regional scales. This study proposes a regional-based nonlocal bedload transport model, which is conceptualized from the probabilistic Exner-based equations and the peridynamic (PD) differential operator. The PD model encapsulates the nonlocal motion of bedload sediments on the basis of the PD differential operator, by utilizing a pre-defined weight function and influence domain. Comparisons demonstrate that the PD model serves as a generalized tool connecting the local and the global models with different PD functions and influence domains. Its variability on kernel function and influence domain, enable it conveniently describe sub-, super-, and normal diffusion behaviors of bedload transport. Keywords Bedload transport; Nonlocal; Regional scale; PD differential operator; MSD －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Constitutive modeling of human cornea through fractional calculus approach Dibyendu Mandal; Himadri Chattopadhyay; Kumaresh Halder Publication information: Physics of Fluids 35, 031907 (2023) Abstract In this work, the fractional calculus approach is considered for modeling the viscoelastic behavior of human cornea. It is observed that the degree of both elasticity and viscosity is easy to describe in terms of the fractional order parameters in such an approach. Modeling of the human cornea when subjected to simple stress up to the level of 250 MPa by fractional order Maxwell model along with the Fractional Kelvin Voigt Viscoelastic Model is reported. For the Maxwell governing fractional equation, two fractional parameters α and β have been considered to model the stress–strain relationship of the human cornea. The analytical solution of the fractional equation has been obtained for different values of α and β using Laplace transform methods. The effect of the fractional parameter values on the stress-deformation nature has been studied. A comparison between experimental values and calculated values for different fractional order of the Maxwell model equation defines the parameters which depict the real-time stress–strain relationship of the human cornea. It has been observed that the fractional model converges to the classical Maxwell model as a special case for α = β = 1. Keywords Constitutive modeling; Human cornea; Fractional calculus ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
https://doi.org/10.1063/5.0138730
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