FDA Express Vol. 53, No. 2
FDA Express Vol. 53, No. 2, Nov. 30, 2024
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 53_No 2_2024.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
International Conference on Fractional Calculus and Applications
Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis
◆ Books ◆ Journals Computers & Mathematics with Applications Fractional Calculus and Applied Analysis ◆ Paper Highlight
Unification of popular artificial neural network activation functions
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Sarumi, IO; Furati, KM and Khaliq, AQM
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:230 Pages:20-38 Published: Apr 2025
By:Nisar, KS; Farman, M; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 113 Pages:60-73 Published:Feb 2025
By:Atangana, A and Nwaigwe, C
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume:30 Pages:814-839 Published: Dec 31 2024
A novel fractionalized investigation of tuberculosis disease
By:Meena, M; Purohit, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Computational analysis of corruption dynamics insight into fractional structures
By:Akgül, A; Farman, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Fractional-order composite sliding mode control for 4-DOF tower crane systems with given-performance
By:Zhang, TF; Yang, YN; etc.
AUTOMATION IN CONSTRUCTION Volume:168 Published:Dec 15 2024
By:Aldawish, I and Ibrahim, RW
JOURNAL OF KING SAUD UNIVERSITY SCIENCE Volume:36 Published:Dec 2024
By:Akshey and Singh, TR
IRANIAN JOURNAL OF SCIENCE Volume:140 Published: Nov 2024
Two-grid finite element methods for space-fractional nonlinear Schrodinger equations
By:Chen, YP and Hu, HZ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 459 Published: May 15 2025
By:Liu, X; Chen, LL; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume:140 Published: Jan 2025
By:Eshaghi, S; Ordokhani, Y; etc.
NONLINEAR DYNAMICS Volume: 140 Published: Nov 2024
By: Jornet, M
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 139 Published: Nov 4 2024
Mittag-Leffler stability and application of delayed fractional-order competitive neural networks
By:Zhang, FH; Huang, TW; etc.
NEURAL NETWORKS Volume:179 Published: Nov 2024
By:Wang, KJ
ALEXANDRIA ENGINEERING JOURNAL Volume: 110 Pages:629-635 Published:Jan 2025
By:Nisar, KS; Farman, M; etc.
SCIENTIFIC REPORTS SIMULATION Volume: 14 Published: Oct 29 2024
By:Naik, PA; Farman, M; etc.
SCIENTIFIC REPORTS Volume:14 Published:Oct 2024
By:Ahmed, H; Jmal, A and Ben Makhlouf, A
NONLINEAR DYNAMICS Volume: Early Access Published:Oct 2024
By:Li, LW; Lu, YF; etc.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING Volume: Early Access Published: Oct 2024
By:Jornet, M
CHINESE JOURNAL OF PHYSICS Volume: 92 Pages:623-630 Published:Dec 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
International Conference on Fractional Calculus and Applications
( December 26 - 30, 2024 in Sousse, Tunisia. )
Dear Colleagues: The International Conference on Fractional Calculus and Applications is a prestigious event that serves as a platform for researchers, scientists, and practitioners to exchange ideas and explore the latest advancements in the field of fractional calculus. The conference aims to foster collaboration and innovation in this rapidly evolving field. Our conference features keynote speeches, paper presentations, poster sessions, and networking opportunities, providing participants with a comprehensive overview of the current trends and developments in fractional calculus. Through engaging discussions and interactive sessions, attendees can gain valuable insights, expand their knowledge, and contribute to the advancement of fractional calculus and its applications.
Keywords:
- Fractional Differential Equations
- Fractional Partial Differential Equations
- Theory of existence and uniqueness of solutions
- Stability analysis
- Boundary value problems
- Inverse problems
- Fractional Control Systems
- Renewable Energy Systems
- FPGA Implementation in Telecommunication Networks
- Risk Management and Financial Modeling
- Optimization of Network Performance
- Applications in Physics, Engineering, Biology, and more.
Organizers:
Prof. Abdellatif Ben Makhlouf
Prof. Omar Naifar
Important Dates:
Deadline for conference receipts: 1 November 2024.
All details on this conference are now available at: https://icofca.com/.
Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis
( A special issue of Fractal and Fractional )
Dear Colleagues, This Special Issue is a follow-up to the first volume, entitled "Fractional Calculus and Hypergeometric Functions in Complex Analysis", which was well received. This new initiative, which builds upon the initial idea of the previous Special Issue by enlarging the focus of the targeted research, attempts to collect the most recent advancements in research regarding fractional calculus or/and quantum calculus combined with special functions in studies related to complex analysis.
Fractional calculus is a known and prolific tool in various scientific and engineering domains, as well as in theoretical studies regarding different branches of mathematics. In particular, comprehensive research has developed within the domain of geometric function theory, with the inclusion of fractional calculus. Furthermore, notable results have been obtained through enhancing investigative tools with quantum calculus aspects and through the impressive characteristics of special functions, among which hypergeometric functions are the most notable type.
Scholars with an interest in any of these topics or in combining them with applications in other domains related to complex analysis are encouraged to submit their research in order to further the success of this Special Issue.
The topics to be covered include, but are not restricted to, the following:
- New definitions and applications in fractional calculus and quantum calculus operators;
- Applications of fractional calculus involving various special functions in complex analysis topics;
- Applications of quantum calculus involving various special functions in complex analysis topics;
- Orthogonal polynomials, including Jacobi polynomials and their special cases, 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 special functions in differential subordinations and superordiantions and their special forms of strong differential subordination and superordination and fuzzy differential subordiantion and superordination;
- Different applications of quantum calculus combined with fractional calculus and/or special functions in geometric function theory.
Keywords:
- Univalent functions
- Special functions
- Fractional operator
- Q–operator
- Differential subordination
- Differential superordination
- Quantum calculus
Organizers:
Prof. Dr. Gheorghe Oros
Dr. Georgia Irina Oros
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 December 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/F2082M84PQ.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Fractional and Fractal Derivative Models for Anomalous Sediment Transport
( Authors: HongGuang Sun , Zhipeng Li and Shiqian Nie )
Details:https://doi.org/10.1515/9783111348834 Book Description: This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivative models) to accurately characterize anomalous sediment transport in turbulent flow. This book will systematically investigate anomalous sediment transport inexperiments, physical analysis, stochastic model and field applications.
- Covers the physical and mathematical aspects of anomalous diffusion in sediment transport
- Reviews recent work in the literature
- Includes experimental data and program codes
Author Biography:
HongGuang Sun, Zhipeng Li, Shiqian Nie, Hohai University, China
Contents:
Front Matter
Introduction
Physical analysis of particle movement in turbulence
Vertical distribution of suspended sediment under steady flow
Fractal derivative models for suspended-sediment transport in steady flows
Nonlocal bed-load transport model from regional to global scales
Continuous time random walk model for anomalous diffusion in bed-load transport
Fractal derivative models for bed-load transport
Anomalous bed-load transport behaviors on fractal riverbed
Perspectives
Bibliography
Index
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Computers & Mathematics with Applications (Selected) Qinwu Xu Farzaneh Safari, Yanjun Duan Himanshu Kumar Dwivedi, Rajeev Junqing Jia, Xiaoqing Chi, Xiaoyun Jiang Muhammad Usman, Muhammad Hamid, etc. Shiping Zhou, Yanzhi Zhang Yanping Chen, Qiling Gu, Jian Huang Lanyu Qing, Xiaolin Li Yan Wang, Zhi Qian Yuehua Jiang, HongGuang Sun, Yong Zhang Björn Bahr, Markus Faustmann, Jens Markus Melenk Ji Lin,Lianpeng Shi,etc. Xing Liu, Hui Li Juanjuan Gao, Jiebao Sun Zhoushun Zheng, Xinyue Ni,etc. Fractional Calculus and Applied Analysis ( Volume 27, Issue 6 ) Elena Boguslavskaya, Elina Shishkina Stefano Bonaccorsi, Mirko D’Ovidio Dariusz Idczak Alexandra V. Antoniouk, Anatoly N. Kochubeio Laura Gambera, Salvatore Eleonora Denich, Paolo Novati Junan Shi, Hongchao Jia, Dachun Yang Dragana Jankov Maširević Eya Zougar Khaoula Bouguetof, Zaineb Mezdoud, Omar Kebiri & Carsten Hartmann Amadou Diop, Mamadou Moustapha Mbaye, Yong-Kui Chang & Gaston Mandata N’Guérékata Mohsen Timoumi Jorge Littin Curinao Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky & Abhilash Tushir P. Prakash, K. S. Priyendhu & R. Sahadevan Antonio Iannizzotto & Dimitri Mugnai Jianlun Liu, Hong-Rui Sun & Ziheng Zhang Xueying Chen Yuhang Li, Zhichang Guo, Jingfeng Shao, Yao Li & Boying Wu Francisco Damasceno Freitas & Laice Neves de Oliveira Meijie Kong & Hongfei Fu Yubin Liu & Li Peng Mohammad Mostafanejad ======================================================================== Paper Highlight Variable-order fractional diffusion: Physical interpretation and simulation within the multiple trapping model Renat T. Sibatov, Pavel L'Vov, HongGuang Sun
A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian
An implementation of hp-FEM for the fractional Laplacian
Fractional-order cross-diffusion system for multiplicative noise removal
Lagrange multiplier structure-preserving algorithm for time-fractional Allen-Cahn equation
Fractional Wiener chaos: Part 1
Sticky Brownian motions on star graphs
Fractional Sobolev type spaces of functions of two variables via Riemann-Liouville derivatives
Discrete-time general fractional calculus
On the computation of the Mittag-Leffler function of fractional powers of accretive operators
The McKay Iv Bessel distribution revisited
Mixed fractional stochastic heat equation with additive fractional-colored noise
Time-fractional discrete diffusion equation for Schrödinger operator
Optimal solvability for the fractional p-Laplacian with Dirichlet conditions
Radial symmetry of positive solutions for a tempered fractional p-Laplacian system
Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations
Unification of popular artificial neural network activation functions
Publication information: Applied Mathematics and Computation Volume 482, 1 December 2024, 128960
https://doi.org/10.1016/j.amc.2024.128960 Abstract The physical interpretation of a variable-order fractional diffusion equation within the framework of the multiple trapping model is presented. This interpretation enables the development of a numerical Monte Carlo algorithm to solve the associated subdiffusion equation. An important feature of the model is variation in energy density of localized states, when the detailed balance condition between localized and mobile particles is satisfied. The variable order anomalous diffusion equations under consideration can be applied to the description of transient subdiffusion in inhomogeneous materials, the order of which depends on the considered spatial and/or time scale. Examples of numerical solutions for different situations are demonstrated. Considering variable-order fractional drift, we calculate and analyze the transient current curves of the time-of-flight method for samples with varying density of localized states. Highlights The physical interpretation of a variable-order fractional diffusion equation is provided. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Mohammad Mostafanejad Publication information: Fractional Calculus and Applied Analysis, Volume 27 (2024). Abstract This study presents a novel method for comprehending the rheological behavior of biomaterials utilized in bone regeneration. The focus is on gelatin, alginate, and hydroxyapatite nanoparticle composites to enhance their mechanical properties and osteoconductive potential. Traditional rheological models are insufficient for accurately characterizing the behavior of these composites due to their complexity and heterogeneity. To address this issue, we utilized fractional calculus rheological models, such as the Scott-Blair, Fractional Kelvin-Voigt, Fractional Maxwell, and Fractional Kelvin-Zener models, to accurately represent the viscoelastic properties of the hydrogels. Our findings demonstrate that the fractional calculus approach is superior to classical models in describing the intricate, time-dependent behaviors of the hydrogel-hydroxyapatite composites. Furthermore, the addition of hydroxyapatite not only improves the mechanical strength of hydrogels but also enhances their bioactivity. These findings demonstrate the potential of these composites in bone tissue engineering applications.The study highlights the usefulness of fractional calculus in biomaterials science, providing new insights into the design and optimization of hydrogel-based scaffolds for regenerative medicine. Keywords Fractional calculus (primary), Mittag-Leffler functions, Activation functions, Neural networks, Image classification ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Monte Carlo algorithm for solving variable-order subdiffusion equations is proposed.
Transient current in samples with varying density of localized states is analyzed.
Unification of popular artificial neural network activation functions
https://doi.org/10.1007/s13540-024-00347-4
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