FDA Express Vol. 48, No. 3
FDA Express Vol. 48, No. 3, Sep. 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 48_No 3_2023.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
12th Conference on Fractional Differentiation and its Applications
Fractional Behaviors Analysis and Modelling
◆ Books Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators ◆ Journals ◆ Paper Highlight
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Alahmad, R; Al-Khaleel, M and Almefleh, H
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 438 Published: Mar 1 2024
Fractional regularity for conservation laws with discontinuous flux
By:Ghoshal, SS; Junca, S and Parmar, A
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 75 Published: Feb 2024
By:Cheng, XY and Wang, LZ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 437 Published: Feb 2024
By:Nasiri, T; Zakeri, A and Aminataei, A
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 437 Published: Feb 2024
The global classical solution to compressible system with fractional viscous term
By:Wang, S and Zhang, SZ
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 75 Published: Feb 2024
Calculations of fractional derivative option pricing models based on neural network
By:Song, LA; Yu, W; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 437 Published: Feb 2024
By:Yang, XJ; Wu, X and Song, QK
APPLIED MATHEMATICS AND COMPUTATION Volume:460 Published:Jan 1 2024
Maximum and anti-maximum principle for the fractional p-Laplacian with indefinite weights
By:Asso, O; Cuesta, M; etc.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume:529 Published: Jan 1 2024
Time fractional diffusion equation based on Caputo fractional derivative for image denoising
By: Chen, HG; Qiao, HL; etc.
OPTICS AND LASER TECHNOLOGY Volume: 168 Published: Jan 2024
A study of incomplete I-functions relating to certain fractional integral operators
By:Bhatter, S; Nishant; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Yin, QL; Gao, B and Shi, Z
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 17 Published: Dec 31 2023
By: Yang, KQ
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:31 Published: Dec 31 2023
By:Wei, XX; Liu, Y; etc.
INTERNATIONAL JOURNAL OF DIGITAL EARTH Volume:16 Page:2212-2232 Published:Dec 31 2023
A generalized study of the distribution of buffer over calcium on a fractional dimension
By:Bhatter, S; Jangid, K; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Xu, ZH; Li, YF; etc.
GEOCARTO INTERNATIONAL Volume:38 Published: Dec 31 2023
On family of the Caputo-type fractional numerical scheme for solving polynomial equations
By:Shams, M; Kausar, N; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
On the solution of generalized time-fractional telegraphic equation
By:Albalawi, KS; Shokhanda, R and Goswami, P
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published:Dec 31 2023
By:Hu, LL and Yu, H
APPLIED ARTIFICIAL INTELLIGENCE Volume: 37 Published: Dec 31 2023
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
========================================================================== 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 Behaviors Analysis and Modelling
( A special issue of Fractal and Fractional )
Dear Colleagues: An implicit link exists in the literature between fractional behaviors and fractional differentiation-based models. However, fractional behaviors and fractional-differentiation-based models are two distinct concepts. One designates a property or a particular behavior of a physical system, while the other designates a model class that can capture fractional behaviors.
Fractional behaviors appear in numerous domains (of physical, biological, thermal, etc. origin). They often result from stochastic physical phenomena (diffusion, diffusion reaction, adsorption, absorption, aggregation, fragmentation, etc.) that can operate on a fractal space of dimension d and that generate time kinetics (or fractional behaviors) in t^(ν/d). Fractional behaviors are ubiquitous, and faced with the drawbacks now associated with the fractional-differentiation-based models, new modeling tools must be found.
The goal of this Special Issue is to bring out new modeling tools for fractional behaviors (other than usual and strict fractional differentiation or integration-based operators), as well as to study their properties and their applications in engineering sciences. Considering fractional behaviors without being limited to fractional models opens up countless avenues of research in the field of model analysis and identification. To avoid unnecessary fractionalizations, this Special Issue also focuses on methods that allow characterizing the existence of fractional behavior in measured data and theoretical justifications for fractional behaviors.
Keywords:
- Fractional behaviors
- Modeling
- Volterra equations
- Non-singular kernels
- Non-linear models
- Time-varying models
- Partial differential equations
- Fractal
Organizers:
Prof. Dr. Jocelyn Sabatier
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 October 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FBAM.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
( Authors: George A. Anastassiou)
Details:https://doi.org/10.1007/978-3-319-89509-3 Book Description: This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. It also explores approximations under convexity and a new trend in approximation theory –approximation by sublinear operators with applications to max-product operators, which are nonlinear and rational providing very fast and flexible approximations. The results presented have applications in numerous areas of pure and applied mathematics, especially in approximation theory and numerical analysis in both ordinary and fractional senses. As such this book is suitable for researchers, graduate students, and seminars of the above disciplines, and is a must for all science and engineering libraries.
Author Biography:
George A. Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, USA
Contents:
Front Matter
Approximation by Positive Sublinear Operators
Abstract; Introduction; Main Results; Applications; References;
High Order Approximation by Max-Product Operators
Abstract; Introduction; Main Results; References;
Conformable Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Background; Main Results; Applications; References;
Caputo Fractional Approximation Using Positive Sublinear Operators
Abstract; Introduction; Main Results; Applications; References;
Canavati Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Main Results; Applications; References;
Iterated Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Main Results; Applications, Part A; Applications, Part B; References;
Mixed Conformable Fractional Approximation Using Positive Sublinear Operators
Abstract; Introduction; Background; Main Results; Applications, Part A; Applications, Part B; References;
Approximation of Fuzzy Numbers Using Max-Product Operators
Abstract; Background; Main Results; References;
High Order Approximation by Multivariate Sublinear and Max-Product Operators
Abstract; Background; Main Results; References;
High Order Approximation by Sublinear and Max-Product Operators Using Convexity
Abstract; Background; Main Results; References;
High Order Conformable Fractional Approximation by Max-Product Operators Using Convexity
Abstract; Background; Main Results; Applications; References;
High Order Approximation by Multivariate Sublinear and Max-Product Operators Under Convexity
Abstract; Background; Main Results; References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) Romeo Martínez, Armando Gallegos, Jorge E. Macías-Díaz Pavel Řehák Jungang Wang, Qingyang Si, Jia Chen, You Zhang Sen Wang, Xian-Feng Zhou, Denghao Pang, Wei Jiang Huan Liu, Hongfei Fu Zhang Chen, Bixiang Wang Xiaojing Dong, Yuanyang Yu Paola Loreti, Daniela Sforza, M. Yamamoto X. Y. Li, X. Y. Liu Fei Gao, Hui Zhan Lingzheng Kong, Liyan Zhu, Youjun Deng Zheng Yang, Fanhai Zeng Jiankang Liu, Wei Wei, Jinbin Wang, Wei Xu Nguyen Huy Tuan, Tomás Caraballo, Tran Ngoc Thach Bihao Su, Chenglong Xu, Changtao Sheng ( Selected ) Dongmei Wei, Hailing Liu, Yongmei Li, Fei Gao, Sujuan Qin, Qiaoyan Wen Parisa Rahimkhani, Mohammad Hossein Heydari Hadi Eghlimi, Mohammad Sadegh Asgari Sumati Kumari Panda, Velusamy Vijayakumar Kottakkaran Sooppy Nisar, K. Logeswari, C. Ravichandran, S. Sabarinathan Yin Fang, Bo-Wei Zhu, Wen-Bo Bo, Yue-Yue Wang, Chao-Qing Dai Chongyang Liu, Tuo Zhou, Zhaohua Gong, Xiaopeng Yi, Kok Lay Teo, Song Wang İbrahim Avcı, Azhar Hussain, Tanzeela Kanwal Anouar Ben-Loghfyry, Abderrahim Charkaoui K. El Anouz, A. El Allati, N. Metwally, A.S. Obada Ayaz Hussain Bukhari, Muhammad Asif Zahoor Raja, Hani Alquhayz, etc. Jian-Gen Liu, Xiao-Jun Yang Shenglong Chen, Jikai Yang, Zhiming Li, etc. Da-Sheng Mou, Chao-Qing Dai, Yue-Yue Wang Kiran Kumar Saha, N. Sukavanam ======================================================================== Paper Highlight Anomalous diffusion, nonergodicity, non-Gaussianity, and aging of fractional Brownian motion with nonlinear clocks Yingjie Liang, Wei Wang, Ralf Metzler, Andrey G. Cherstvy
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential
Uniqueness of solution with zero boundary condition for time-fractional wave equations
A linearly stabilized convolution quadrature method for the time-fractional Allen–Cahn equation
Limit behavior of the solution of Caputo-Hadamard fractional stochastic differential equations
Quantum speed limit for time-fractional open systems
Results on finite time stability of various fractional order systems
New frame of fractional neutral ABC-derivative with IBC and mixed delay
Data-driven prediction of spatial optical solitons in fractional diffraction
Robust optimal control of nonlinear fractional systems
The efficiency of fractional channels in the Heisenberg XYZ model
Symmetry group analysis of several coupled fractional partial differential equations
Existence and uniqueness of blow-up solution to a fully fractional thermostat model
Publication information: PHYSICAL REVIEW E, 108(3):034113, September 2023.
https://doi.org/10.1103/PhysRevE.108.034113 Abstract How do nonlinear clocks in time and/or space affect the fundamental properties of a stochastic process? Specifically, how precisely may ergodic processes such as fractional Brownian motion (FBM) acquire predictable nonergodic and aging features being subjected to such conditions? We address these questions in the current study. To describe different types of non-Brownian motion of particles—including power-law anomalous, ultraslow or logarithmic, as well as superfast or exponential diffusion—we here develop and analyze a generalized stochastic process of scaled-fractional Brownian motion (SFBM). The time- and space-SFBM processes are, respectively, constructed based on FBM running with nonlinear time and space clocks. The fundamental statistical characteristics such as non-Gaussianity of particle displacements, nonergodicity, as well as aging are quantified for time- and space-SFBM by selecting different clocks. The latter parametrize power-law anomalous, ultraslow, and superfast diffusion. The results of our computer simulations are fully consistent with the analytical predictions for several functional forms of clocks. We thoroughly examine the behaviors of the probability-density function, the mean-squared displacement, the time-averaged mean-squared displacement, as well as the aging factor. Our results are applicable for rationalizing the impact of nonlinear time and space properties superimposed onto the FBM-type dynamics. SFBM offers a general framework for a universal and more precise model-based description of anomalous, nonergodic, non-Gaussian, and aging diffusion in single-molecule-tracking observations. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Temperature profile and thermal piston component of photoacoustic response calculated by the fractional dual-phase-lag heat conduction theory A. Somer, S. Galovic, E.K. Lenzi, A. Novatski, K. Djordjevic Publication information: International Journal of Heat and Mass Transfer Volume 203, April 2023, 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 ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
https://doi.org/10.1016/j.ijheatmasstransfer.2022.123801
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