FDA Express Vol. 55, No. 2, May. 31, 2025
FDA Express Vol. 55, No. 2,
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Institute of Soft Matter Mechanics, Hohai University
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Fractional Systems, Integrals and Derivatives: Theory and Application
Fractal and Fractional in Construction Materials
◆ Books Fractional-Order Activation Functions for Neural Networks ◆ Journals Computers & Mathematics with Applications Mathematics and Computers in Simulation ◆ Paper Highlight
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Lyu, K and Cheng, H
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume:146 Published: Jul 2025
Liu, JX; Shen, TF and Shen, XH
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION Volume:15 Published: Aug 2025
Wen, J; Liu, YL; etc.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION Volume:15 Published: Aug 2025
Qiao, L; Li, RH; etc.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION Volume:15 Published: Aug 2025
Xu, SY and Zhao, HY
STATISTICS & PROBABILITY LETTERS Volume:223 Published: Aug 2025
Baroudi, S; Kassidi, A; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 147 Published: Aug 2025
Degefa, T; Ramakrishnan, B; etc.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS Volume: 175 Published: Aug 2025
Wang, X; Wang, XP; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 147 Published: Aug 2025
Zheng, BB; Dai, W and Wang, ZS
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 147 Published: Aug 2025
Broad learning system based on fractional order optimization
Zhang, D; Zhang, T; etc.
NEURAL NETWORKS Volume:188 Published: Aug 2025
Exact null controllability of a fractional nonlocal delay evolution system
Zhu, SG and Li, G
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION Volume: 15 Published: Aug 2025
Mittag-Leffler ultimate boundedness of fractional-order nonautonomous delay systems
Bao, BZ and Xu, LG
CHAOS SOLITONS & FRACTALS Volume: 197 Published: Aug 2025
El-Tantawy, SA; Khan, D; etc.
BRAZILIAN JOURNAL OF PHYSICS Volume: 55 Published: Aug 2025
Kratuloek, K; Kumam, P; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 31 Published: Dec 2025
Global Calderón-Zygmund theory for fractional Laplacian type equations
Byun, SS; Kim, K and Kumar, D
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 436 Published: Aug 2025
Chai, L; Liu, Y; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 500 Published: Sep 2025
Physics-informed neural fractional differential equations
Vellappandi, M and Lee, S
APPLIED MATHEMATICAL MODELLING Volume: 145 Published: Sep 2025
Ma, X; He, QP; etc.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE Volume: 155 Published: Sep 2025
Yi, YL; Fei, MF; etc.
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 44 Published: Sep 2025
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Fractional Systems, Integrals and Derivatives: Theory and Application
( A special issue of Fractal and Fractional )
Dear Colleagues,
The present Special Issue is dedicated to new research in fractional calculus related to fractional integrals and derivatives. Our main interest is focused on works devoted to fractional differential equations or systems with different types of fractional orders: constant, variable or distributed types; as well as fractional equation or systems without delay; or those with delayed argument (retarded or neutral types). Articles devoted to partial fractional and stochastic differential equations with fractional derivatives are welcome too. The works can contain results concerning the existence and/or uniqueness of the solutions, different kinds of integral representations of these solutions, and their continuous dependence from the given data. Qualitative results concerning the asymptotic behaviour of solutions, and various types of stability properties, namely Lyapunov’s type, finite time stability, Mittag–Leffler stability, robust stability, Ulam–Hyers–Rassias stability, and so on, are also invited.
In addition, articles containing new applications, including fractional variants of well-known classical models in different scientific areas as economics, physics, engineering, and so on, are also welcome. We also encourage works that compare the advantages and disadvantages of fractional derivatives with integrable singular kernels, and those with regularized kernels calculating not only the mathematical (technical) convenience but also convenience from an applicability point of view, namely fractional models with which type kernels give a more adequate description of the dynamics of the studied physical or economical real-world phenomena.
Keywords: Organizers: Prof. Dr. Andrey Zahariev Important Dates: Deadline for conference receipts: 30 June 2025. All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/4B8C846988. Fractal and Fractional in Construction Materials ( A special issue of Fractal and Fractional ) • Fractal and fractional characterization of construction materials; Organizers: Important Dates: Deadline for manuscript submissions: 30 June 2025 . All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/9IBRNH4SAX. =========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ ( Authors: Kishore Bingi, Ramadevi Bhukya, Venkata Ramana Kasi ) Details: https://doi.org/10.1007/978-3-031-88091-9 Book Description: This book suggests the development of single and multi-layer fractional-order neural networks that incorporate fractional-order activation functions derived using fractional-order derivatives. Activation functions are essential in neural networks as they introduce nonlinearity, enabling the models to learn complex patterns in data. However, traditional activation functions have limitations such as non-differentiability, vanishing gradient problems, and inactive neurons at negative inputs, which can affect the performance of neural networks, especially for tasks involving intricate nonlinear dynamics. To address these issues, fractional-order derivatives from fractional calculus have been proposed. These derivatives can model complex systems with non-local or non-Markovian behavior. The aim is to improve wind power prediction accuracy using datasets from the Texas wind turbine and Jeju Island wind farm under various scenarios. The book explores the advantages of fractional-order activation functions in terms of robustness, faster convergence, and greater flexibility in hyper-parameter tuning. It includes a comparative analysis of single and multi-layer fractional-order neural networks versus conventional neural networks, assessing their performance based on metrics such as mean square error and coefficient of determination. The impact of using machine learning models to impute missing data on the performance of networks is also discussed. This book demonstrates the potential of fractional-order activation functions to enhance neural network models, particularly in predicting chaotic time series. The findings suggest that fractional-order activation functions can significantly improve accuracy and performance, emphasizing the importance of advancing activation function design in neural network analysis. Additionally, the book is a valuable teaching and learning resource for undergraduate and postgraduate students conducting research in this field. Author Biography: Department of Electrical and Electronics Engineering, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia Contents: Introduction ======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Computers & Mathematics with Applications (Selected) Kang Ya, LuXiao Yun Zhang Mohamed Bensalah Qiu Ya Wang Xinyu Diao, Bo Yu Jiarui Wang, Yining Yang, etc. Xiran Cao, Zhengze Rong, etc. Xinyan Li Kexin Sun, Minfu Feng Rong Huang, Zhifeng Weng, Jianhua Yuan Yiqun Li, Hong Wang, Wuchen Li Yating Huang, Zhenyou Wang M. Yousuf, M. Alshayqi, S. S. Alzahrani M. Fardi, B. Azarnavid, S. Mohammadi Muhammad Suliman, Muhammad Ibrahim, etc. Mariam Al Maskari, Samir Karaa Mathematics and Computers in Simulation (Selected) Sangeeta Kumawat, Sanjay Bhatter, etc. Khadija Tul Kubra, Rooh Ali, etc. Z. Zaabouli, L. Afraites, A. Laghrib Jiayi Liu, Ruihong Li, Dongmei Huang Emmanuel Lorin, Howl Nhan Shanwei Li, Yimamu Maimaiti Feifei Du, Jun-Guo Lu, Qing-Hao Zhang Qian Yi, An Chen, Hengfei Ding Lalchand Verma, Ramakanta Meher, Darshak P. Pandya Pingrui Zhang, Xiaoyun Jiang, Junqing Jia Vsevolod Bohaienko, Fasma Diele, etc. Dipam Das, Debasish Bhattacharjee Tarekegn Dinku, Boka Kumsa, etc. Dingding Cao, Changpin Li Said Ounamane, Lakhlifa Sadek, etc. ======================================================================== Paper Highlight Invariant tori for the fractional nonlinear Schrödinger equation with nonlinearity periodically depending on spatial variable Jieyu Liu, Jing Zhang Publication information: Fractional Calculus and Applied Analysis, Volume 28, 05 May 2025. https://doi.org/10.1007/s13540-025-00409-1 Abstract In this paper, we focus on a type of fractional nonlinear Schrödinger equation with odd periodic boundary conditions, where the nonlinearity periodically depending on spatial variable x. By an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible systems with unbounded perturbation, we obtain that there exists a lot of smooth quasi-periodic solutions with small amplitude for fractional nonlinear Schrödinger equations. Key Points Neural networks, Fractional Euler-Bernoulli equation, Fractional operators －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Yao Liu, Shengjie Yan, Yingjie Liang Publication information: Journal of Building Engineering, Volume 102, 15 May 2025. Abstract This paper proposes a multiscale local structural derivative model to describe anomalous diffusion in fresh cement pastes, which combines a subdiffusion model in power law form with an ultraslow diffusion model in logarithmic form. The model contains four parameters, diffusion coefficient, characteristic time and two derivative orders, which are verified by using mean squared displacement (MSD) data of particles diffusion in fresh cement pastes at different curing ages. The properties of MSD largely depend on the values of the derivative orders, which results in multiscale diffusion process. Compared with the fractal derivative anomalous diffusion model and local structural derivative ultraslow diffusion model, the proposed model has much lower errors in characterization of the particles diffusion in fresh cement pastes. It also indicates that the particles diffusion exhibits a multiscale feature in the fresh cement pastes, especially in smaller time scales. Interestingly, all four fitted parameters exhibit exponential functions that increase with the curing age and are subject to modification due to external factors affecting the rheology of the cement pastes. Highlights • This study proposes a local structural derivative model to characterize anomalous diffusion in fresh cement pastes. ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
- Distributed order fractional derivative
- Variable order fractional derivative
- Fractional differential equations/systems
- Functional-differential equations/systems
- Stability analysis of fractional-order systems
Prof. Dr. Hristo Kiskinov
Dear Colleagues,
Construction materials, including concrete, cement mortar, asphalt, ferric metal, fiber-reinforced materials, bamboo, polymer, etc., have been widely used in civil engineering. In recent years, fractal theory has been widely adopted in many research fields, such as civil engineering and materials science to probe the origin of materials properties (such as rheology, permeability, diffusivity, and thermal transportation). Fractal geometry is a new branch of nonlinear science, proposed and fundamentally established in the 1970s, focusing on the irregularities as well as the haphazard phenomena and self-similarity in nature.
This Special Issue aims to collect the recent advances made in Fractal and Fractional in construction materials globally. The submitted manuscripts will be peer reviewed, and those accepted will be published in the open-access journal Fractal and Fractional. This issue will cover topics of interest that include, but are not limited to, the following topics:
• Fractal and fractional combined with other theoretical, numerical, and/or experimental methods, in the evaluation of the mechanical performance of construction materials;
• Fractal approach to study the geotechnical engineering, cement-based materials, fiber-reinforced materials, rock and soil materials, geopolymer materials, asphalt and other materials for road pavements, and innovative sustainable materials;
• Fractal approach to study the properties such as transportation and durability, volume stability and mechanical properties, and cracks and fractures;
• Other fractal-based approaches used in construction materials.
Dr. Lei Wang
School of Electrical Engineering, Vellore Institute of Technology, Vellore, India
School of Electrical Engineering, Vellore Institute of Technology, Vellore, India
Fractional-Order Activation Functions
Fractional-Order Neural Networks
Forecasting of Texas Wind Turbines’ Generated Power
Forecasting of Jeju Islands Wind Turbines’ Generated Power
Forecasting of Renewable Energy Using Fractional-Order Neural Networks
Fractional Feedforward Neural Network-Based Smart Grid Stability Prediction Model
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model
Time-space fractional anisotropic diffusion equations for multiplicative noise removal
A time-fractional optimal transport: Formulation and algorithm
A novel time-fractional decomposition model for image denoising integrating Caputo derivative
Data-driven fractional algebraic system solver
Estimating the region of attraction on fractional-order complex networks with time-varying delay
High order difference method for fractional convection equation
Fractional truncated exponential method for linear fractional optimal control problems
A multiscale local structural derivative model to characterize anomalous diffusion in fresh cement pastes
https://doi.org/10.1016/j.jobe.2025.111949
• The results show that the proposed model can well fit the data at different curing ages.
• The proposed model is feasible in describing the multiscale diffusion behavior of particles in fresh cement pastes.
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