期刊名：Fractal and Fractional

期刊主页：https://www.mdpi.com/journal/fractalfract

本专题精选发表于 Fractal and Fractional 的 15 篇代表性研究，涵盖分数阶混沌系统、忆阻神经网络、热弹性、电力系统、无人机、车辆悬架及磁悬浮等研究方向，重点探讨同步控制、稳定性分析、智能优化等问题，体现了分数阶方法在复杂系统建模、控制优化及安全通信等领域的广泛应用价值。

1. Dynamic Analysis and Sliding Mode Synchronization Control of Chaotic Systems with Conditional Symmetric Fractional-Order Memristors

具有条件对称分数阶忆阻器的混沌系统动力学分析与滑模同步控制

Tian, H.; Zhao, M.; Liu, J.; Wang, Q.; Yu, X.; Wang, Z. Dynamic Analysis and Sliding Mode Synchronization Control of Chaotic Systems with Conditional Symmetric Fractional-Order Memristors. Fractal Fract. 2024, 8, 307.

https://www.mdpi.com/2504-3110/8/6/307

2. Designing Heuristic-Based Tuners for Fractional-Order PID Controllers in Automatic Voltage Regulator Systems Using a Hyper-Heuristic Approach

基于超启发式方法的自动电压调节器系统分数阶 PID 控制器启发式调参方法设计

Zambrano-Gutierrez, D.F.; Valencia-Rivera, G.H.; Avina-Cervantes, J.G.; Amaya, I.; Cruz-Duarte, J.M. Designing Heuristic-Based Tuners for Fractional-Order PID Controllers in Automatic Voltage Regulator Systems Using a Hyper-Heuristic Approach. Fractal Fract. 2024, 8, 223.

https://www.mdpi.com/2504-3110/8/4/223

3. A Two-Temperature Fractional DPL Thermoelasticity Model with an Exponential Rabotnov Kernel for a Flexible Cylinder with Changeable Properties

具有可变材料性质的柔性圆柱体中基于指数型 Rabotnov 核的双温度分数阶双相滞后热弹性模型

Abouelregal, A.E.; Alhassan, Y.; Althagafi, H.; Alsharif, F. A Two-Temperature Fractional DPL Thermoelasticity Model with an Exponential Rabotnov Kernel for a Flexible Cylinder with Changeable Properties. Fractal Fract. 2024, 8, 182.

https://www.mdpi.com/2504-3110/8/4/182

4. A Fractional-Order ADRC Architecture for a PMSM Position Servo System with Improved Disturbance Rejection

具有改进扰动抑制性能的永磁同步电机位置伺服系统的自抗扰控制（ADRC）架构

Wang, S.; Gan, H.; Luo, Y.; Luo, X.; Chen, Y. A Fractional-Order ADRC Architecture for a PMSM Position Servo System with Improved Disturbance Rejection. Fractal Fract. 2024, 8, 54.

https://www.mdpi.com/2504-3110/8/1/54

5. Time-Varying Function Matrix Projection Synchronization of Caputo Fractional-Order Uncertain Memristive Neural Networks with Multiple Delays via Mixed Open Loop Feedback Control and Impulsive Control

基于混合开环反馈控制与脉冲控制的具有多重时滞的 Caputo 分数阶不确定忆阻神经网络时变函数矩阵投影同步

Fan, H.; Rao, Y.; Shi, K.; Wen, H. Time-Varying Function Matrix Projection Synchronization of Caputo Fractional-Order Uncertain Memristive Neural Networks with Multiple Delays via Mixed Open Loop Feedback Control and Impulsive Control. Fractal Fract. 2024, 8, 301.

https://www.mdpi.com/2504-3110/8/5/301

6. A Novel Softsign Fractional-Order Controller Optimized by an Intelligent Nature-Inspired Algorithm for Magnetic Levitation Control

基于智能自然启发式算法优化的新型 Softsign 分数阶控制器及其在磁悬浮控制中的应用

Izci, D.; Ekinci, S.; Mohd Tumari, M.Z.; Ahmad, M.A. A Novel Softsign Fractional-Order Controller Optimized by an Intelligent Nature-Inspired Algorithm for Magnetic Levitation Control. Fractal Fract. 2025, 9, 801. https://doi.org/10.3390/fractalfract9120801

https://www.mdpi.com/2504-3110/9/12/801

7. Robust Fractional-Order PI/PD Controllers for a Cascade Control Structure of Servo Systems

用于伺服系统级联控制结构的鲁棒分数阶 PI/PD 控制器

Chuong, V.L.; Nam, N.H.; Giang, L.H.; Vu, T.N.L. Robust Fractional-Order PI/PD Controllers for a Cascade Control Structure of Servo Systems. Fractal Fract. 2024, 8, 244. https://doi.org/10.3390/fractalfract8040244

https://www.mdpi.com/2504-3110/8/4/244

8. Fractional-Order Load Frequency Control of an Interconnected Power System with a Hydrogen Energy-Storage Unit

含氢储能单元的互联电力系统分数阶负荷频率控制

Wang, P.; Chen, X.; Zhang, Y.; Zhang, L.; Huang, Y. Fractional-Order Load Frequency Control of an Interconnected Power System with a Hydrogen Energy-Storage Unit. Fractal Fract. 2024, 8, 126.

https://www.mdpi.com/2504-3110/8/3/126

9. Automatic Voltage Regulator Betterment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO

基于 TLBO 优化的新型模糊 FOPI+FOPD 自动电压调节器性能改进

Shouran, M.; Alenezi, M. Automatic Voltage Regulator Betterment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO. Fractal Fract. 2025, 9, 21.

https://www.mdpi.com/2504-3110/9/1/21

10. Power Quality Conditioners-Based Fractional-Order PID Controllers Using Hybrid Jellyfish Search and Particle Swarm Algorithm for Power Quality Enhancement

基于混合水母搜索与粒子群算法的电能质量调节器分数阶 PID 控制器及电能质量提升

Aldosary, A. Power Quality Conditioners-Based Fractional-Order PID Controllers Using Hybrid Jellyfish Search and Particle Swarm Algorithm for Power Quality Enhancement. Fractal Fract. 2024, 8, 140.

https://www.mdpi.com/2504-3110/8/3/140

11. Optimizing Load Frequency Control of Multi-Area Power Renewable and Thermal Systems Using Advanced Proportional–Integral–Derivative Controllers and Catch Fish Algorithm

基于先进比例–积分–微分控制器与捕捞鱼算法的多区域可再生能源及热力发电系统负荷频率控制优化

Alnefaie, S.A.; Alkuhayli, A.; Al-Shaalan, A.M. Optimizing Load Frequency Control of Multi-Area Power Renewable and Thermal Systems Using Advanced Proportional–Integral–Derivative Controllers and Catch Fish Algorithm. Fractal Fract. 2025, 9, 355.

https://www.mdpi.com/2504-3110/9/6/355

12. An Enhanced Multiple Unmanned Aerial Vehicle Swarm Formation Control Using a Novel Fractional Swarming Strategy Approach

基于新型分数阶集群策略的多无人机集群编队控制优化

Wadood, A.; Yousaf, A.-F.; Alatwi, A.M. An Enhanced Multiple Unmanned Aerial Vehicle Swarm Formation Control Using a Novel Fractional Swarming Strategy Approach. Fractal Fract. 2024, 8, 334.

https://www.mdpi.com/2504-3110/8/6/334

13. A Fractional-Order Model Predictive Control Strategy with Takagi–Sugeno Fuzzy Optimization for Vehicle Active Suspension System

一种针对车辆主动悬挂系统的采用 Takagi–Sugeno 模糊优化的分数阶模型预测控制策略

Liu, Q.; Hu, B.; Liu, W.; Li, J.; Yu, W.; Li, G.; Hu, G. A Fractional-Order Model Predictive Control Strategy with Takagi–Sugeno Fuzzy Optimization for Vehicle Active Suspension System. Fractal Fract. 2024, 8, 610.

https://www.mdpi.com/2504-3110/8/10/610

14. Controllability of Fractional Complex Networks

分数阶复杂网络的可控性

Bao, X.; Ma, W.; Li, X. Controllability of Fractional Complex Networks. Fractal Fract. 2024, 8, 43.

https://www.mdpi.com/2504-3110/8/1/43

15. Finite-Time Projective Synchronization in Fractional-Order Inertial Memristive Neural Networks: A Novel Approach to Image Encryption

分数阶惯性忆阻神经网络中的有限时间投影同步：一种新型图像加密方法

Weng, H.; Yang, Y.; Hao, R.; Liu, F. Finite-Time Projective Synchronization in Fractional-Order Inertial Memristive Neural Networks: A Novel Approach to Image Encryption. Fractal Fract. 2024, 8, 631.

https://www.mdpi.com/2504-3110/8/11/631

期刊介绍

主编：Carlo Cattani, University of Tuscia, Italy

期刊主题涵盖分形与分数阶微积分的基础理论及其在多个科学和工程领域中的应用研究。现已被 SCIE（Web of Science）、Scopus 等重要数据库收录，并在多个分类中位居 Q1 区：JCR “Mathematics, Interdisciplinary Applications” 22/137；Scopus “Mathematics – Analysis” 6/210，“Mathematics – Statistics and Probability” 23/303, “Physics and Astronomy--Statistical and Nonlinear Physics” 9/63。

2025 Impact Factor：3.5

2025 CiteScore：6.8

Time to First Decision：19.3 Days

Acceptance to Publication：2.8 Days