FDA Express Vol. 54, No. 1
FDA Express Vol. 54, No. 1, Jan. 31, 2025
All issues: http://jsstam.org.cn/fda/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: xybxyb@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 54_No 1_2025.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
Fractional Differential Equations: Computation and Modelling with Applications
◆ Books Fractional-Order Sliding Mode Control: Methodologies and Applications ◆ Journals Communications in Nonlinear Science and Numerical Simulation ◆ Paper Highlight
The quasi-reversibility method for recovering a source in a fractional evolution equation
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Wang, S; Ma, J and Du, N
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:231 Published: May 2025
Liu, ZY; Feng, BS; etc.
APPLIED INTELLIGENCE Volume: 55 Published: Apr 2025
Sain, D; Praharaj, M; etc.
COMPUTERS & ELECTRICAL ENGINEERING Volume:123 Published: Apr 2025
Yu, J; Yin, YW; etc.
NEURAL NETWORKS Volume: 184 Published: Apr 2025
Vivek, S; Panda, SK; etc.
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 422 Published: Mar 2025
Hedayati, S; Nozari, HA and Rostami, SJS
CHAOS SOLITONS & FRACTALS Volume: 192 Published: Mar 2025
Peng, Q; Lin, SM and Tan, MC
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 142 Published: Mar 2025
Shirali, S; Moghaddam, SZ and Aliasghary, M
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS Volume: 164 Published: Mar 2025
Dynamics of rabies disease model under Atangana-Baleanu fractional derivative
Zainab, M; Aslam, A; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 115 Published: Mar 2025
Fuzzy fractional-order control of rubber tired gantry cranes
Tuan, L
MECHANICAL SYSTEMS AND SIGNAL PROCESSING Volume:225 Published: Feb 2025
Srati, M; Oulmelk, A; etc.
JOURNAL OF COMPUTATIONAL PHYSICS Volume: 523 Published: Feb 2025
Khalighi, M; Lahti, L;etc.
MATHEMATICAL BIOSCIENCES Volume: 380 Published: Feb 2025
Vivek, S; Panda, SK and Vijayakumar, V
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS Volume: 204 Published: Feb 2025
Fractional-order interactive systems of calcium, IP3 and nitric oxide in neuronal cells
Pawar, A and Pardasani, KR
PHYSICA SCRIPTA Volume: 100 Published: Feb 2025
Optimal control of glucose-insulin dynamics via delay differential model with fractional-order
Rihan, FA and Udhayakumar, K
ALEXANDRIA ENGINEERING JOURNAL Volume: 114 Published: Feb 2025
Yi, XP; Gong, ZH; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 141 Published: Feb 2025
Nisar, KS; Farman, M; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 113 Published: Feb 2025
Kuzminskas, H; Teixeira, MCM; etc.
MEASUREMENT SCIENCE AND TECHNOLOGY Volume: 36 Published: Jan 2025
Xiong, Y; Li, YS; etc.
NEURAL PROCESSING LETTERS Volume: 57 Published: Jan 2025
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
( A special issue of Fractal and Fractional )
Dear Colleagues, In the last few decades, the application of fractional calculus to real-world problems has grown rapidly, with the use of dynamical systems described by fractional differential equations (FDEs) as one of the ways to understand complex materials and processes. Due to the ability to model the non-locality, memory, spatial heterogeneity and anomalous diffusion inherent in many real-world problems, the application of FDEs has been attracting much attention in many fields of science and is still under development. However, generally, the fractional mathematical models from science and engineering are so complex that analytical solutions are not available. Therefore, numerical solution has been an effective tool to deal with fractional mathematical models.
This Special Issue aims to promote communication between researchers and practitioners on the application of fractional calculus, present the latest development of fractional differential equations, report state-of-the-art and in-progress numerical methods and discuss future trends and challenges. We cordially invite you to contribute by submitting original research articles or comprehensive review papers. This Special Issue will cover the following topics, but these are not exhaustive:
- Mathematical modeling of fractional dynamic systems;
- Analytical or semi-analytical solution of fractional differential equations;
- Numerical methods to solve fractional differential equations, e.g., the finite difference method, the finite element method, the finite volume method, the spectral method, etc.;
- Fast algorithm for the time or space fractional derivative;
- Mathematical analysis for fractional problems and numerical analysis for the numerical scheme;
- Applications of fractional calculus in physics, biology, chemistry, finance, signal and image processing, hydrology, non-Newtonian fluids, etc.
Keywords:
- Numerical methods
- Mathematical modeling
- Fractional calculus
- Fractional differential equations
- Numerical analysis
- Fast algorithm
Organizers:
Dr. Libo Feng
Prof. Dr. Yang Liu
Dr. Lin Liu
Important Dates:
Deadline for conference receipts: 25 February 2025.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/NSAFDE_II.
Fractional Differential Equations: Computation and Modelling with Applications
( A special issue of Fractal and Fractional )
Dear Colleagues, Nowadays, many researchers from various fields have become interested in the topic of fractional calculus based on integrals and derivatives of fractional order. It has numerous applications in the widespread field of science and engineering, including wave and fluid dynamics, mathematical biology, financial systems, structural dynamics, robotics, artificial intelligence, etc. Therefore, fractional models have become relevant when dealing with phenomena with memory effects instead of relying on ordinary or partial differential equations. Fractional calculus offers superior tools to cope with the time-dependent effects noticed compared to integer-order calculus, which forms the mathematical foundation of most mathematical systems. As a result, fractional calculus is crucial to model real-life problems and finding mathematical solutions is a great challenge. Since fractional differential equations are used to model real-life problems, many mathematical methods (numerical/analytical/exact) are being developed to obtain the solutions to fractional differential equations/models/systems. In this Special Issue, we invite review and original research papers dealing with recent developments in fractional calculus along with all theoretical/analytical/numerical, as well as practical developments in various science and engineering, including mathematics and physics. This Special Issue will be focused upon, but not limited to, the following:
- Fractional-order differential/partial/integral equations;
- New fractional-order operators and their properties;
- Existence and uniqueness of solutions;
- Computational efficient methods (analytical/numerical) for fractional order systems;
- Special functions in fractional calculus;
- Fractional models in physics, biology, medicine, engineering, etc.;
- Neural computations with fractional calculus;
- Bifurcation and chaos;
- Artificial Intelligence;
- Fuzzy fractional calculus;
- Mathematical modelling of fractional complex systems;
- Deterministic and stochastic fractional differential equations;
- Fractional calculus with uncertainties and modelling;
- Fractional delay differential equations;
- Fractal-fractional models.
Keywords:
- Fractional derivatives and integrals
- Fractional operators
- Fractal-fractional derivatives and integrals
- Mathematical modelling
- Computational efficient methods
- Uncertainty and artificial intelligence
- Nonsingular kernels
Organizers:
Dr. Rajarama Mohan Jena
Prof. Dr. Snehashish Chakraverty
Important Dates:
Deadline for manuscript submissions: 20 February 2025.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/6H09E1PSTB.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Fractional-Order Sliding Mode Control: Methodologies and Applications
( Authors: Guanghui Sun , Chengwei Wu , Xiaolei Li , Zhiqiang Ma , Shidong Xu , Xiangyu Shao )
Details:https://doi.org/10.1007/978-3-031-60847-6 Book Description: This book delves deep into fractional-order control and fractional-order sliding mode techniques, addressing key challenges in the control design of linear motor systems and control for the deployment of space tethered systems. Innovative strategies such as adaptive fractional-order sliding mode control and fractional-order fuzzy sliding mode control schemes are devised to enhance system performance. Divided into three parts, it covers a brief view of fractional-order control strength in modeling and control, fractional-order sliding mode control of linear motor systems, and fractional-order sliding mode control for the deployment of space tethered systems. Each chapter offers valuable insights and solutions. Simulations and experiments validate the efficacy of these approaches, making this book essential for researchers, engineers, and practitioners in control systems and aerospace engineering.
Author Biography:
Guanghui Sun, Chengwei Wu, Xiaolei Li, Xiangyu Shao, School of Astronautics, Harbin Institute of Technology, Harbin, China
Zhiqiang Ma, School of Astronautics, Northwestern Polytechnical University, Xian, China
Shidong Xu, State Key Laboratory of Mechanics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Contents:
Front Matter
Introduction
Brief View of Fractional-Order Control Strength in Modelling and Control
Fractional-Order SMC of Linear Motor Systems
Fractional-Order SMC for the Deployment of Space Tethered System
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Communications in Nonlinear Science and Numerical Simulation (Selected) Sania Qureshi, Amanullah Soomro, Ioannis K. Argyros, etc. Xiaolu Lin, Shenzhou Zheng Yan Wang, Baoli Yin, Yang Liu, etc. Ying Jing, Youguo Wang, Qiqing Zhai. Mahmood Parsamanesh, Mehmet Gümüş Chencheng Lian, Baochen Meng, Huimin Jing, etc. Chandra Sekhar Mahato, Siddhartha Biswas Yangyang Shi, Hongjun Gao Yuxing Li, Yilan Lou, Chunli Zhang Bohdan Datsko, Vasyl Gafiychuk Yang Cao, Zhijun Tan Lulu Xu, Juan Yu, Cheng Hu Jiake Sun, Junmin Wang Teng Fu, JinRong Wang (Selected) P. Rahimkhani, Y. Ordokhani, M. Razzaghi Priyanka Harjule, Rinki Sharma, Rajesh Kumar Z. Mahmoudi, M. Mehdizadeh Khalsaraei, M. Nosrati Sahlan, etc. Zhouqing Tang, Huihai Wang, Wanting Zhu, etc. Shahrzad Hedayati, Hasan Abbasi Nozari, Seyed Jalil Sadati Rostami Abdul Mateen, Zhiyue Zhang, Hüseyin Budak , etc. Kiran Asma, Muhammad Asif Zahoor Raja, ChuanYu Chang, etc. Marko Kostić, Halis Can Koyuncuoğlu, Tuğçe Katıcan Roshana Mukhtar, ChuanYu Chang, Muhammad Asif Zahoor Raja, etc. Mengjiao Zhang, Hongyan Zang, Zhongxin Liu Waqar Ul Hassan, Khurram Shabbir, Ahmed Zeeshan DaSheng Mou, JiaHao Zhang, YunHao Jia, etc. P. Prakash, K. S. Priyendhu, M. Lakshmanan Mario I. Molina Dimplekumar Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, etc. ======================================================================== Paper Highlight Predicting Transient Anomalous Transport in Two-Dimensional Discrete Fracture Networks With Dead-End Fractures Hongguang Sun, Dawei Lei, Yong Zhang, Jiazhong Qian, Xiangnan Yu
Multiscale grayscale dispersion entropy: A new nonlinear dynamics metric for time series analysis
A fast and high-order localized meshless method for fourth-order time-fractional diffusion equations
Relative controllability of neutral delay differential equations on quaternion skew field
Dynamics and synchronization of fractional-order Rulkov neuron coupled with discrete fracmemristor
The fractional nonlinear magnetoinductive impurity
Publication information: Water Resources Research, 19 January 2025.
https://doi.org/10.1029/2024WR038731 Abstract Pollutant transport in discrete fracture networks (DFNs) exhibits complex dynamics that challenge reliable model predictions, even with detailed fracture data. To address this issue, this study derives an upscaled integral-differential equation to predict transient anomalous diffusion in two-dimensional (2D) DFNs. The model includes both transmissive and dead-end fractures (DEFs), where stagnant water zones in DEFs cause non-uniform flow and transient sub-diffusive transport, as shown by both literature and DFN flow and transport simulations using COMSOL. The upscaled model's main parameters are quantitatively linked to fracture properties, especially the probability density function of DEF lengths. Numerical experiments show the model's accuracy in predicting the full-term evolution of conservative tracers in 2D DFNs with power-law distributed fracture lengths and two orientation sets. Field applications indicate that while model parameters for transient sub-diffusion can be predicted from observed DFN distributions, predicting parameters controlling solute displacement in transmissive fractures requires additional field work, such as tracer tests. Parameter sensitivity analysis further correlates late-time solute transport dynamics with fracture properties, such as fracture density and average length. Potential extensions of the upscaled model are also discussed. This study, therefore, proves that transient anomalous transport in 2D DFNs with DEFs can be at least partially predicted, offering an initial step toward improving model predictions for pollutant transport in real-world fractured aquifer systems. Key Points Transport in 2D fracture networks with dead-end fractures (DEFs) can be partially predicted by an upscaled integral-differential equation －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Liangliang Sun, Zhaoqi Zhang, Yunxin Wang Publication information: Fractional Calculus and Applied Analysis, 17 January 2025. Abstract In this paper, a quasi-reversibility method is used to solve an inverse spatial source problem of multi-term time-space fractional parabolic equation by observation at the terminal measurement data. We are mainly concerned with the case where the time source can be changed sign, which is practically important but has not been well explored in literature. Under certain conditions on the time source, we establish the uniqueness of the inverse problem, and also a Hölder-type conditional stability of the inverse problem is firstly given. Meanwhile, we prove a stability estimate of optimal order for the inverse problem. Then some convergence estimates for the regularized solution are proved under an a-priori and an a-posteriori regularization parameter choice rule. Finally, several numerical experiments illustrate the effectiveness of the proposed method in one-dimensional case. Keywords Multi-term time-space fractional parabolic equation, Inverse source problem, Quasi-reversibility method, Conditional stability ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Transient sub-diffusion parameters are linked to DEFs' distribution properties, while solute displacement parameters require field-fitting
The upscaled model can be readily enhanced with additional terms/parameters to capture subtle real-world transport processes and factors
The quasi-reversibility method for recovering a source in a fractional evolution equation
https://doi.org/10.1007/s13540-025-00370-z
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