期刊名：Fractal and Fractional

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

分栏主页：https://www.mdpi.com/journal/fractalfract/sections/Mathematical_Physics

“数学物理分栏”是Fractal and Fractional 期刊的一个栏目，主要发表针对现实世界问题的理论研究和实际应用成果。数学物理学的主要目标是通过数学形式的语言，对现实世界问题形成独特的理解。其研究范围涵盖理论视角以及非线性科学中数学物理领域新观点的应用。所有涉及数学物理学的相关领域均属于本栏目的研究范畴。

1. Optical Solutions of the Nonlinear Kodama Equation with the M-Truncated Derivative via the Extended (G′/G)-Expansion Method

基于扩展 (G/G)-展开法的 M-截断导数非线性 Kodama 方程光学解研究

https://www.mdpi.com/2504-3110/9/5/300

Li, Z. Optical Solutions of the Nonlinear Kodama Equation with the M-Truncated Derivative via the Extended (G′/G)-Expansion Method. Fractal Fract. 2025, 9, 300.

2. Soliton Dynamics of the Nonlinear Kodama Equation with M-Truncated Derivative via Two Innovative Schemes: The Generalized Arnous Method and the Kudryashov Method

基于两种创新方案（广义Arnous法与Kudryashov法）研究含M-截断导数的非线性Kodama方程的孤子动力学

https://www.mdpi.com/2504-3110/9/7/436

Farooq, K.; Tedjani, A.H.; Li, Z.; Hussain, E. Soliton Dynamics of the Nonlinear Kodama Equation with M-Truncated Derivative via Two Innovative Schemes: The Generalized Arnous Method and the Kudryashov Method. Fractal Fract. 2025, 9, 436.

3. Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel’d–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques

利用两种高效方法探索工业工程中时间分数阶耦合Drinfel’d–Sokolov–Wilson方程的新型孤子解

https://www.mdpi.com/2504-3110/8/6/352

Hossain, M.N.; Miah, M.M.; Alosaimi, M.; Alsharif, F.; Kanan, M. Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel’d–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques. Fractal Fract. 2024, 8, 352.

4. Abundant Closed-Form Soliton Solutions to the Fractional Stochastic Kraenkel–Manna–Merle System with Bifurcation, Chaotic, Sensitivity, and Modulation Instability Analysis

分数阶随机Kraenkel–Manna–Merle系统在含分岔、混沌、敏感性及调制不稳定性分析方面的丰富封闭形式孤子解

https://www.mdpi.com/2504-3110/8/6/327

Borhan, J.R.M.; Miah, M.M.; Alsharif, F.; Kanan, M. Abundant Closed-Form Soliton Solutions to the Fractional Stochastic Kraenkel–Manna–Merle System with Bifurcation, Chaotic, Sensitivity, and Modulation Instability Analysis. Fractal Fract. 2024, 8, 327.

5. Chaotic pattern and solitary solutions for the (2+1)-dimensional Beta-fractional double-chain DNA system

(2+1)维Beta分数阶双链DNA系统的混沌模式与孤子解

https://www.mdpi.com/2504-3110/8/7/415

Han, T.; Zhang, K.; Jiang, Y.; Rezazadeh, H. Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System. Fractal Fract. 2024, 8, 415.

6. Comparative Analysis of the Chaotic Behavior of a Five-Dimensional Fractional Hyperchaotic System with Constant and Variable Order

具有常数阶和可变阶的五维分数阶超混沌系统的混沌行为比较分析

https://www.mdpi.com/2504-3110/8/7/421

Alqahtani, A.M.; Chaudhary, A.; Dubey, R.S.; Sharma, S. Comparative Analysis of the Chaotic Behavior of a Five-Dimensional Fractional Hyperchaotic System with Constant and Variable Order. Fractal Fract. 2024, 8, 421.

7. Multifractal Detrended Cross-Correlations between Green Bonds and Commodity Markets: An Exploration of the Complex Connections between Green Finance and Commodities from the Econophysics Perspective

绿色债券与大宗商品市场之间的多重分形去趋势交叉相关性：从经济物理学视角探索绿色金融与大宗商品之间的复杂联系

https://www.mdpi.com/2504-3110/8/2/117

Acikgoz, T.; Gokten, S.; Soylu, A.B. Multifractal Detrended Cross-Correlations between Green Bonds and Commodity Markets: An Exploration of the Complex Connections between Green Finance and Commodities from the Econophysics Perspective. Fractal Fract. 2024, 8, 117.

8. Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors

分数阶Hirota–Satsuma 耦合KdV方程的解析解及其分岔、敏感性和混沌行为分析

https://www.mdpi.com/2504-3110/8/10/585

Gu, Y.; Jiang, C.; Lai, Y. Analytical Solutions of the Fractional Hirota–Satsuma Coupled KdV Equation along with Analysis of Bifurcation, Sensitivity and Chaotic Behaviors. Fractal Fract. 2024, 8, 585.

9. The Investigation of Nonlinear Time-Fractional Models in Optical Fibers and the Impact Analysis of Fractional-Order Derivatives on Solitary Waves

光纤中非线性时间分数阶模型的研究及分数阶导数对孤波的影响分析

https://www.mdpi.com/2504-3110/8/11/627

Afridi, M.I.; Islam, T.; Akbar, M.A.; Osman, M.S. The Investigation of Nonlinear Time-Fractional Models in Optical Fibers and the Impact Analysis of Fractional-Order Derivatives on Solitary Waves. Fractal Fract. 2024, 8, 627.

10. Analysis of Impact Crushing Characteristics of Steel Fiber Reinforced Recycled Aggregate Concrete Based on Fractal Theory

基于分形理论的钢纤维增强再生骨料混凝土冲击破碎特性分析

https://www.mdpi.com/2504-3110/8/9/505

Zhang, X.; Zhu, Y.; Wang, J.; Zhou, G.; Huang, Y. Analysis of Impact Crushing Characteristics of Steel Fiber Reinforced Recycled Aggregate Concrete Based on Fractal Theory. Fractal Fract. 2024, 8, 505.

11. Full-Scale Pore Structure Characterization and Its Impact on Methane Adsorption Capacity and Seepage Capability: Differences between Shallow and Deep Coal from the Tiefa Basin in Northeastern China

全尺度孔隙结构表征及其对甲烷吸附能力和渗漏能力的影响：中国东北铁法盆地浅层与深层煤的差异

https://www.mdpi.com/2504-3110/8/1/48

Zhang, N.; Wang, S.; Wu, J.; Li, Z.; Wang, X. Full-Scale Pore Structure Characterization and Its Impact on Methane Adsorption Capacity and Seepage Capability: Differences between Shallow and Deep Coal from the Tiefa Basin in Northeastern China. Fractal Fract. 2024, 8, 48.

12. Matrix Compression and Pore Heterogeneity in the Coal-Measure Shale Reservoirs of the Qinshui Basin: A Multifractal Analysis

沁水盆地煤系页岩储层的基质压缩与孔隙异质性：多重分形分析

https://www.mdpi.com/2504-3110/8/10/580

Zhong, B.; Zhu, Y.; Feng, G.; Xiang, J.; Wang, Y. Matrix Compression and Pore Heterogeneity in the Coal-Measure Shale Reservoirs of the Qinshui Basin: A Multifractal Analysis. Fractal Fract. 2024, 8, 580.

13. A Fractional Derivative Insight into Full-Stage Creep Behavior in Deep Coal

基于分数阶导数的深部煤层全阶段蠕变行为研究

https://www.mdpi.com/2504-3110/9/7/473

Yang, S.; Song, H.; Zhou, H.; Xie, S.; Zhang, L.; Zhou, W. A Fractional Derivative Insight into Full-Stage Creep Behavior in Deep Coal. Fractal Fract. 2025, 9, 473.

14. Optical Multi-Peakon Dynamics in the Fractional Cubic–Quintic Nonlinear Pulse Propagation Model Using a Novel Integral Approach

基于新型积分方法的分数阶三次-五次非线性脉冲传播模型中的光学多峰动力学研究

https://www.mdpi.com/2504-3110/9/10/631

Hussain, E.; Abdullah, A.R.; Farooq, K.; Younas, U. Optical Multi-Peakon Dynamics in the Fractional Cubic–Quintic Nonlinear Pulse Propagation Model Using a Novel Integral Approach. Fractal Fract. 2025, 9, 631.

15. Adsorption–Desorption at Anomalous Diffusion: Fractional Calculus Approach

反常扩散中的吸附–脱附：分数阶微积分方法

https://www.mdpi.com/2504-3110/9/7/408

Bazhlekov, I.; Bazhlekova, E. Adsorption–Desorption at Anomalous Diffusion: Fractional Calculus Approach. Fractal Fract. 2025, 9, 408.

16. A Novel Approach to Solving Fractional Navier–Stokes Equations Using the Elzaki Transform

利用Elzaki变换求解分数阶Navier–Stokes 方程的新方法

https://www.mdpi.com/2504-3110/9/6/396

Elzaki, T.M.; Abd Elmohmoud, E.M. A Novel Approach to Solving Fractional Navier–Stokes Equations Using the Elzaki Transform. Fractal Fract. 2025, 9, 396.

17. Numerical and Analytical Study of the Magnetic Field Distribution in a Three-Solenoid System

三螺线管系统磁场分布的数值与解析研究

https://www.mdpi.com/2504-3110/9/6/383

Behtouei, M.; Bacci, A.; Carillo, M.; Comelli, M.; Faillace, L.; Migliorati, M.; Verra, L.; Spataro, B. Numerical and Analytical Study of the Magnetic Field Distribution in a Three-Solenoid System. Fractal Fract. 2025, 9, 383.

18. The Effect of pH Solution in the Sol–Gel Process on the Process of Formation of Fractal Structures in Thin SnO₂ Films

溶胶-凝胶过程中溶液 pH 值对 SnO₂ 薄膜分形结构形成的影响

https://www.mdpi.com/2504-3110/9/6/353

Bondar, E.; Lebedev, I.; Fedosimova, A.; Dmitriyeva, E.; Ibraimova, S.; Nikolaev, A.; Shongalova, A.; Kemelbekova, A.; Begunov, M. The Effect of pH Solution in the Sol–Gel Process on the Process of Formation of Fractal Structures in Thin SnO₂ Films. Fractal Fract. 2025, 9, 353.

期刊介绍

主编：Carlo Cattani, University of Tuscia, Italy

期刊主题涵盖包括分形和分数阶微积分基础研究及其在不同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，JCR category rank: 22/136 (Q1)。

2025 Impact Factor：3.5

2025 CiteScore：6.8

Time to First Decision：17.2 Days

Acceptance to Publication：3.4 Days