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Citations	Article
216	Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory by Yusuf Bahri Özçelik and Aytaç Altan
146	Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption by Wei Feng, Quanwen Wang, Hui Liu, Yu Ren, Junhao Zhang, Shubo Zhang, Kun Qian and Heping Wen
109	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
102	Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative by Ausif Padder, Laila Almutairi, Sania Qureshi, Amanullah Soomro, Afroz Afroz, Evren Hincal and Asifa Tassaddiq
98	Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods by Yifan Zhou, Wenwei Li, Yuxiang Peng, Shengwen Tang, Lei Wang, Yan Shi, Yang Li, Yang Wang, Zhicheng Geng and Kai Wu
87	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
72	Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method by Humaira Yasmin, Noufe H. Aljahdaly, Abdulkafi Mohammed Saeed and Rasool Shah
66	Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method by Mohammed Bakheet Almatrafi
61	An Improved Marine Predators Algorithm-Tuned Fractional-Order PID Controller for Automatic Voltage Regulator System by Mohd Zaidi Mohd Tumari, Mohd Ashraf Ahmad, Mohd Helmi Suid and Mok Ren Hao
58	The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time by Farhana Tasnim, Md Ali Akbar and Mohamed S. Osman

Citations	Article
51	Dynamic Analysis and Implementation of FPGA for a New 4D Fractional-Order Memristive Hopfield Neural Network by Fei Yu, Shankou Zhang, Dan Su, Yiya Wu, Yumba Musoya Gracia and Huige Yin
50	Chaotic Pattern and Solitary Solutions for the (21)-Dimensional Beta-Fractional Double-Chain DNA System by Tianyong Han, Kun Zhang, Yueyong Jiang and Hadi Rezazadeh
50	Integrating Fractional-Order Hopfield Neural Network with Differentiated Encryption: Achieving High-Performance Privacy Protection for Medical Images by Wei Feng, Keyuan Zhang, Jing Zhang, Xiangyu Zhao, Yao Chen, Bo Cai, Zhengguo Zhu, Heping Wen and Conghuan Ye
46	Robust Design of Two-Level Non-Integer SMC Based on Deep Soft Actor-Critic for Synchronization of Chaotic Fractional Order Memristive Neural Networks by Majid Roohi, Saeed Mirzajani, Ahmad Reza Haghighi and Andreas Basse-O’Connor
43	Dynamic Analysis and Sliding Mode Synchronization Control of Chaotic Systems with Conditional Symmetric Fractional-Order Memristors by Huaigu Tian, Mingwei Zhao, Jindong Liu, Qiao Wang, Xiong Yu and Zhen Wang
39	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
36	Applications of Fractional-Order Calculus in Robotics by Abhaya Pal Singh and Kishore Bingi
33	A Brief Review of Fractional Calculus as a Tool for Applications in Physics: Adsorption Phenomena and Electrical Impedance in Complex Fluids by Giovanni Barbero, Luiz. R. Evangelista, Rafael S. Zola, Ervin K. Lenzi and Antonio M. Scarfone
31	Predator–Prey Interaction with Fear Effects: Stability, Bifurcation and Two-Parameter Analysis Incorporating Complex and Fractal Behavior by Qamar Din, Raja Atif Naseem and Muhammad Sajjad Shabbir
30	Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors by Fei Yu, Wuxiong Zhang, Xiaoli Xiao, Wei Yao, Shuo Cai, Jin Zhang, Chunhua Wang and Yi Li

Citations	Article
50	Integrating Fractional-Order Hopfield Neural Network with Differentiated Encryption: Achieving High-Performance Privacy Protection for Medical Images by Wei Feng, Keyuan Zhang, Jing Zhang, Xiangyu Zhao, Yao Chen, Bo Cai, Zhengguo Zhu, Heping Wen and Conghuan Ye
24	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
21	Optical Solutions of the Nonlinear Kodama Equation with the M-Truncated Derivative via the Extended (G^′/G)-Expansion Method by Zhao Li
20	A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces by Behrouz Parsa Moghaddam, Mahmoud A. Zaky, António Mendes Lopes and Alexandra Galhano
20	Relationship Between Pore-Size Distribution and 1D Compressibility of Different Reconstituted Clays Based on Fractal Theory by Yanhao Zheng, Tanfang Zhu, Junqi Chen, Kun Shan and Junru Li
19	Dynamic Analysis and FPGA Implementation of a Fractional-Order Memristive Hopfield Neural Network with Hidden Chaotic Dual-Wing Attractors by Shaoqi He, Fei Yu, Rongyao Guo, Mingfang Zheng, Tinghui Tang, Jie Jin and Chunhua Wang
18	Multi-Focus Image Fusion Based on Fractal Dimension and Parameter Adaptive Unit-Linking Dual-Channel PCNN in Curvelet Transform Domain by Liangliang Li, Sensen Song, Ming Lv, Zhenhong Jia and Hongbing Ma
17	Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System by Zhao Li and Ejaz Hussain
16	Novel Approximations to the Multi-Dimensional Fractional Diffusion Models Using the Tantawy Technique and Two Other Transformed Methods by Weaam Alhejaili, Adnan Khan, Amnah S. Al-Johani and Samir A. El-Tantawy
16	Automatic Picking Method for the First Arrival Time of Microseismic Signals Based on Fractal Theory and Feature Fusion by Huicong Xu, Kai Li, Pengfei Shan, Xuefei Wu, Shuai Zhang, Zeyang Wang, Chenguang Liu, Zhongming Yan, Liang Wu and Huachuan Wang

Citations	Article
16	Automatic Picking Method for the First Arrival Time of Microseismic Signals Based on Fractal Theory and Feature Fusion by Huicong Xu, Kai Li, Pengfei Shan, Xuefei Wu, Shuai Zhang, Zeyang Wang, Chenguang Liu, Zhongming Yan, Liang Wu and Huachuan Wang
13	State-Dependent Variable Fractional-Order Hyperchaotic Dynamics in a Coupled Quadratic Map: A Novel System for High-Performance Image Protection by Wei Feng, Zixian Tang, Xiangyu Zhao, Zhentao Qin, Yao Chen, Bo Cai, Zhengguo Zhu, Heping Wen and Conghuan Ye
8	Modeling Fractional Dust-Acoustic Shock Waves in a Complex Plasma Using Novel Techniques by Weaam Alhejaili, Linda Alzaben and Samir A. El-Tantawy
7	Iterative Investigation of the Nonlinear Fractional Cahn–Allen and Fractional Clannish Random Walker’s Parabolic Equations by Using the Hybrid Decomposition Method by Sarfaraz Ahmed, Ibtisam Aldawish, Syed T. R. Rizvi and Aly R. Seadawy
6	Optical Multi-Peakon Dynamics in the Fractional Cubic–Quintic Nonlinear Pulse Propagation Model Using a Novel Integral Approach by Ejaz Hussain, Aljethi Reem Abdullah, Khizar Farooq and Usman Younas
6	A General Framework for the Multiplicity of Positive Solutions to Higher-Order Caputo and Hadamard Fractional Functional Differential Coupled Laplacian Systems by Kaihong Zhao, Xiaoxia Zhao and Xiaojun Lv
4	The Tantawy Technique for Modeling Fractional Kinetic Alfvén Solitary Waves in an Oxygen–Hydrogen Plasma in Earth’s Upper Ionosphere by Shaukat Ali Shan, Wedad Albalawi, Rania A. Alharbey and Samir A. El-Tantawy
4	Nonlinear Stochastic Wave Behavior: Soliton Solutions and Energy Analysis of Kairat-II and Kairat-X Systems by Syed T. R. Rizvi, Lotfi Jlali, Iqra Anjum, Husnain Abad, Emad Solouma and Aly R. Seadawy
4	A Fractional-Order SSIM-Based Gaussian Loss with Long-Range Memory for Dense VSLAM by Junyang Zhao, Huixin Zhu, Zhili Zhang, Mingtao Feng, Han Yu and Yuxuan Li
4	Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence by Xiaofeng Wang and Shaonan Guo

Citations	Article
216	Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory by Yusuf Bahri Özçelik and Aytaç Altan
198	Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions by Md Ashik Iqbal, Ye Wang, Md Mamun Miah and Mohamed S. Osman
178	Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates by Shengwen Tang, Yang Wang, Zhicheng Geng, Xiaofei Xu, Wenzhi Yu, Hubao A and Jingtao Chen
160	Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach by Phumudzo Lloyd Seabe, Claude Rodrigue Bambe Moutsinga and Edson Pindza
146	Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption by Wei Feng, Quanwen Wang, Hui Liu, Yu Ren, Junhao Zhang, Shubo Zhang, Kun Qian and Heping Wen
142	Fractal Analysis on Pore Structure and Hydration of Magnesium Oxysulfate Cements by First Principle, Thermodynamic and Microstructure-Based Methods by Jiasheng Huang, Wenwei Li, Desheng Huang, Lei Wang, E Chen, Chengyou Wu, Baoshan Wang, Hongyang Deng, Shengwen Tang, Yan Shi and Yang Li
138	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
136	Investigation and Application of Fractal Theory in Cement-Based Materials: A Review by Lei Wang, Xiaoman Zeng, Huamei Yang, Xingdong Lv, Fanxing Guo, Yan Shi and Asad Hanif
125	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
109	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr

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11983	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
11420	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
9886	Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods by Yifan Zhou, Wenwei Li, Yuxiang Peng, Shengwen Tang, Lei Wang, Yan Shi, Yang Li, Yang Wang, Zhicheng Geng and Kai Wu
9336	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
8232	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
8014	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
7134	Day of the Week Effect on the World Exchange Rates through Fractal Analysis by Werner Kristjanpoller and Benjamin Miranda Tabak
7105	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
6893	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
6380	Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning by Chuantai Jin and Yong Li

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9336	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
7134	Day of the Week Effect on the World Exchange Rates through Fractal Analysis by Werner Kristjanpoller and Benjamin Miranda Tabak
5999	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
5526	Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data by Kevser Şimşek, Nisa Özge Önal Tuğrul, Kamil Karaçuha, Vasil Tabatadze and Ertuğrul Karaçuha
5472	Proposal for the Application of Fractional Operators in Polynomial Regression Models to Enhance the Determination Coefficient R² on Unseen Data by Anthony Torres-Hernandez, Rafael Ramirez-Melendez and Fernando Brambila-Paz
5272	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
5029	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
4966	A Brief Review of Fractional Calculus as a Tool for Applications in Physics: Adsorption Phenomena and Electrical Impedance in Complex Fluids by Giovanni Barbero, Luiz. R. Evangelista, Rafael S. Zola, Ervin K. Lenzi and Antonio M. Scarfone
4883	Predator–Prey Interaction with Fear Effects: Stability, Bifurcation and Two-Parameter Analysis Incorporating Complex and Fractal Behavior by Qamar Din, Raja Atif Naseem and Muhammad Sajjad Shabbir
4853	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli

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5472	Proposal for the Application of Fractional Operators in Polynomial Regression Models to Enhance the Determination Coefficient R² on Unseen Data by Anthony Torres-Hernandez, Rafael Ramirez-Melendez and Fernando Brambila-Paz
5029	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
4853	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
4387	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho
4073	Time-Varying Market Efficiency: A Focus on Crude Oil and Commodity Dynamics by Young-Sung Kim, Do-Hyeon Kim, Dong-Jun Kim and Sun-Yong Choi
4003	Deep Learning for Leukemia Classification: Performance Analysis and Challenges Across Multiple Architectures by Hari Mohan Rai, B. Omkar Lakshmi Jagan, N. Thiruapthi Rao, Thayyaba Khatoon Mohammed, Neha Agarwal, Hanaa A. Abdallah and Saurabh Agarwal
3658	Fractal Properties of the Cosmic Web by Jaan Einasto
3392	UK Carbon Price Dynamics: Long-Memory Effects and AI-Based Forecasting by Zeno Dinca, Camelia Oprean-Stan and Daniel Balsalobre-Lorente
2962	Stylized Facts of High-Frequency Bitcoin Time Series by Yaoyue Tang, Karina Arias-Calluari, Morteza Nattagh Najafi, Michael S. Harré and Fernando Alonso-Marroquin
2946	Exploring Multifractal Asymmetric Detrended Cross-Correlation Behavior in Semiconductor Stocks by Werner Kristjanpoller

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2962	Stylized Facts of High-Frequency Bitcoin Time Series by Yaoyue Tang, Karina Arias-Calluari, Morteza Nattagh Najafi, Michael S. Harré and Fernando Alonso-Marroquin
2776	Bidirectional Mamba-Enhanced 3D Human Pose Estimation for Accurate Clinical Gait Analysis by Chengjun Wang, Wenhang Su, Jiabao Li and Jiahang Xu
2495	Artificial Intelligence-Based Plant Disease Classification in Low-Light Environments by Hafiz Ali Hamza Gondal, Seong In Jeong, Won Ho Jang, Jun Seo Kim, Rehan Akram, Muhammad Irfan, Muhammad Hamza Tariq and Kang Ryoung Park
2327	Nonlinear Dynamics of RMB Exchange Rate Volatility: A Multifractal Perspective Within the G-Expectation Framework by Weilan Zhang and Zhigang Huang
2275	Fractal Technology for Sustainable Growth in the AI Era: Fractal Principles for Industry 5.0 by Young Chan Ko, Soon Wan Kweon, Byoung Geun Moon, Jong-Moon Park and Hyoung Jin Kim
2225	Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles by Khaloud Aljahwari, Abdullah Abdullah, Prabhakar Jepiti and Sungjoon Lim
2076	When RNN Meets CNN and ViT: The Development of a Hybrid U-Net for Medical Image Segmentation by Ziru Wang and Ziyang Wang
1929	From Fractal Geometry to Fractal Cognition: Experimental Tools and Future Directions for Studying Recursive Hierarchical Embedding by Mauricio J. D. Martins
1880	Fractional Mathematical Modelling: Theory, Methods and Applications by Faranak Rabiei, Dongwook Kim and Zeeshan Ali
1850	Fractal-Guided Token Pruning for Efficient Vision Transformers by Seong Rok Kim and Minhyeok Lee

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38980	Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach by Phumudzo Lloyd Seabe, Claude Rodrigue Bambe Moutsinga and Edson Pindza
17148	Fractal Antennas: An Historical Perspective by Jaume Anguera, Aurora Andújar, Jeevani Jayasinghe, V. V. S. S. Sameer Chakravarthy, P. S. R. Chowdary, Joan L. Pijoan, Tanweer Ali and Carlo Cattani
15471	Utilizing Fractals for Modeling and 3D Printing of Porous Structures by AMM Sharif Ullah, Doriana Marilena D’Addona, Yusuke Seto, Shota Yonehara and Akihiko Kubo
15342	Fractal, Scale Free Electromagnetic Resonance of a Single Brain Extracted Microtubule Nanowire, a Single Tubulin Protein and a Single Neuron by Komal Saxena, Pushpendra Singh, Pathik Sahoo, Satyajit Sahu, Subrata Ghosh, Kanad Ray, Daisuke Fujita and Anirban Bandyopadhyay
15328	Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates by Shengwen Tang, Yang Wang, Zhicheng Geng, Xiaofei Xu, Wenzhi Yu, Hubao A and Jingtao Chen
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6230	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4326	Some New Versions of Fractional Inequalities for Exponential Trigonometric Convex Mappings via Ordered Relation on Interval-Valued Settings by Muhammad Bilal Khan, Adriana Cătaş, Najla Aloraini and Mohamed S. Soliman
2122	Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory by Yusuf Bahri Özçelik and Aytaç Altan
2088	Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review by Ahmed M. Nassef, Mohammad Ali Abdelkareem, Hussein M. Maghrabie and Ahmad Baroutaji
1900	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
1763	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1760	Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods by Yifan Zhou, Wenwei Li, Yuxiang Peng, Shengwen Tang, Lei Wang, Yan Shi, Yang Li, Yang Wang, Zhicheng Geng and Kai Wu
1714	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1658	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
1599	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr

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1226	Estimation of Fractal Dimension and Segmentation of Brain Tumor with Parallel Features Aggregation Network by Haseeb Sultan, Nadeem Ullah, Jin Seong Hong, Seung Gu Kim, Dong Chan Lee, Seung Yong Jung and Kang Ryoung Park
1133	Fractal-Based Multi-Criteria Feature Selection to Enhance Predictive Capability of AI-Driven Mineral Prospectivity Mapping by Tao Sun, Mei Feng, Wenbin Pu, Yue Liu, Fei Chen, Hongwei Zhang, Junqi Huang, Luting Mao and Zhiqiang Wang
1130	Predator–Prey Interaction with Fear Effects: Stability, Bifurcation and Two-Parameter Analysis Incorporating Complex and Fractal Behavior by Qamar Din, Raja Atif Naseem and Muhammad Sajjad Shabbir
1124	Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation by Shitan Ning, Peng Xia, Fang Hao, Jinqiang Tian, Yong Fu and Ke Wang
1090	Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors by Fei Yu, Wuxiong Zhang, Xiaoli Xiao, Wei Yao, Shuo Cai, Jin Zhang, Chunhua Wang and Yi Li
1088	Smooth and Efficient Path Planning for Car-like Mobile Robot Using Improved Ant Colony Optimization in Narrow and Large-Size Scenes by Likun Li, Liyu Jiang, Wenzhang Tu, Liquan Jiang and Ruhan He
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1067	Urban Meteorology, Pollutants, Geomorphology, Fractality, and Anomalous Diffusion by Patricio Pacheco, Eduardo Mera, Gustavo Navarro and Carolina Parodi
1016	Fractional-Order Modeling and Nonlinear Dynamic Analysis of Forward Converter by Xiaogang Wang and Zetian Zhang
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769	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho
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637	Study on Surface Roughness and True Fracture Energy of Recycled Aggregate Concrete Using Fringe Projection Technology by Meiling Dai, Weiyi Hu, Chengge Hu, Xirui Wang, Jiyu Deng and Jincai Chen
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617	Multifractal Analysis of Tight Sandstone Using Micro-CT Methods: A Case from the Lower Cretaceous Quantou Formation, Southern Songliao Basin, NE China by Lei Li, Zhongcheng Li, Haotian Han, Chao Liu, Yilin Li, Wanchun Zhao, Jianyi Wang and Zhidong Bao
608	Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis by Leiming Zhang, Min Wang, Bin Zhang, Xun Xi, Ying Zhang and Jiliang Pan
597	A Fractal Characteristics Analysis of the Pore Throat Structure in Low-Permeability Sandstone Reservoirs: A Case Study of the Yanchang Formation, Southeast Ordos Basin by Huanmeng Zhang, Xiaojun Li, Junfeng Liu, Yiping Wang, Ling Guo, Zhiyu Wu and Yafei Tian

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532	Chaotic Dynamics and Fractal Geometry in Ring Lattice Systems of Nonchaotic Rulkov Neurons by Brandon B. Le
505	Multifractal Characterization of Marine Shale Pore Structure Alteration Induced by Supercritical CO₂–Water–Rock Interaction by Haonan Wei, Yi Du, Changqing Fu, Gaoqiang Fu, Yingfang Zhou, Jinfeng Ma, Zhenliang Wang, Zhejun Pan and Wei Gao
497	Hardware-in-the-Loop Experimental Validation of a Fault-Tolerant Control System for Quadcopter UAV Motor Faults by Muhammad Abdullah, Adil Zulfiqar, Muhammad Zeeshan Babar, Jamal Hussain Arman, Ghulam Hafeez, Ahmed S. Alsafran and Muhyaddin Rawa
480	Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control by Ali Aloui, Louiza Diabi, Omar Kahouli, Adel Ouannas, Lilia El Amraoui and Mohamed Ayari
477	Bidirectional Mamba-Enhanced 3D Human Pose Estimation for Accurate Clinical Gait Analysis by Chengjun Wang, Wenhang Su, Jiabao Li and Jiahang Xu
466	Flash Flood Risk Classification Using GIS-Based Fractional Order k-Means Clustering Method by Hanze Li, Jie Huang, Xinhai Zhang, Zhenzhu Meng, Yazhou Fan, Xiuguang Wu, Liang Wang, Linlin Hu and Jinxin Zhang
448	Multifractal Characteristics of Heterogeneous Pore-Throat Structure and Insight into Differential Fluid Movability of Saline-Lacustrine Mixed Shale-Oil Reservoirs by Wei Yang, Ming Xie, Haodong Hou, Zhenxue Jiang, Yan Song, Shujing Bao, Yingyan Li, Yang Gao, Shouchang Peng, Ke Miao and Weihao Sun
426	Microscopic Pore Structure Heterogeneity on the Breakthrough Pressure and Sealing Capacity of Carbonate Rocks: Insight from Monofractal and Multifractal Investigation by Siqi Ouyang, Yiqian Qu, Yuting Cheng, Yupeng Wu and Xiuxiang Lü
421	Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis by Jinpeng Wu, Bin Hu, Jing Li, Xiangyu Zhang, Xin Dai and Kai Cui
414	Fractional Calculus in Nuclear Multistep Decay: Analytical Solutions, Existence and Uniqueness Analysis of the Actinium Series by Mohammed Shqair, Areej Almuneef, Emad Jaradat, Rahat Zarin and Ahmed Hagag

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7611	Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach by Phumudzo Lloyd Seabe, Claude Rodrigue Bambe Moutsinga and Edson Pindza
6419	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
6230	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4938	Fractional Definite Integral by Manuel Ortigueira and José Machado
4326	Some New Versions of Fractional Inequalities for Exponential Trigonometric Convex Mappings via Ordered Relation on Interval-Valued Settings by Muhammad Bilal Khan, Adriana Cătaş, Najla Aloraini and Mohamed S. Soliman
4255	Fractal Antennas: An Historical Perspective by Jaume Anguera, Aurora Andújar, Jeevani Jayasinghe, V. V. S. S. Sameer Chakravarthy, P. S. R. Chowdary, Joan L. Pijoan, Tanweer Ali and Carlo Cattani
3583	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3557	Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates by Shengwen Tang, Yang Wang, Zhicheng Geng, Xiaofei Xu, Wenzhi Yu, Hubao A and Jingtao Chen
3458	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3398	Investigation on Pore Structure and Permeability of Concrete–Rock Interfacial Transition Zones Based on Fractal Theory by Juan Yue, Jinchang Sheng, Huimin Wang, Yunjin Hu, Kailai Zhang, Yulong Luo, Qing Zhou and Meili Zhan

Most Cited & Viewed Special Issues

Most Cited Special Issues
Most Viewed Special Issues

Avg. Citations	Special Issue
11.09	Advances in Fractional-Order Chaotic and Complex Systems Guest Editors Chunhua Wang , Fei Yu and Wei Yao \| Number of Papers: 11
9.27	Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition Guest Editors Arman Oshnoei and Mahdieh Sadat Sadabadi \| Number of Papers: 11
8.8	Analysis and Modeling of Fractional-Order Dynamical Networks Guest Editors Fei Wang and Feifei Du \| Number of Papers: 10
8.8	Metric Spaces with Its Application to Fractional Differential Equations Guest Editors Khurram Shabbir , Monica-Felicia Bota and Liliana Guran \| Number of Papers: 10
8.3	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
7.57	Fractional Integral Inequalities and Applications, 2nd Edition Guest Editors Artion Kashuri and Hari Mohan Srivastava \| Number of Papers: 14
7.5	Fractal and Fractional in Geotechnical Engineering Guest Editors Shao-Heng He, Zhi Ding and Panpan Guo \| Number of Papers: 14
7.38	Applications of Fractal Analysis in Underground Engineering Guest Editors Shihao Tu , Lei Zhang , Chen Wang , Cun Zhang , Defu Zhu and Kaijun Miao \| Number of Papers: 13
7.24	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
6.94	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16

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Views	Special Issue
44215	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
43906	Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs Guest Editors Zine El Abiddine Fellah , Jizhen Zhang and Quanzhong Guan \| Number of Papers: 24
41945	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
40837	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
34992	Symmetry and Solutions of Fractional Differential Equations with Their Developments Guest Editors Lihong Zhang, Ravi P. Agarwal , Bashir Ahmad and Guotao Wang \| Number of Papers: 17
33772	Fractal and Fractional in Geotechnical Engineering Guest Editors Shao-Heng He, Zhi Ding and Panpan Guo \| Number of Papers: 14
30828	Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems Guest Editors Kaibo Shi , Zhinan Peng , Xin Wang and Xiao Cai \| Number of Papers: 13
30537	Complexity, Fractality and Fractional Dynamics Applied to Science and Engineering Guest Editors Alexandra M. S. F. Galhano, Sergio Adriani David and António Lopes \| Number of Papers: 12
30284	Mathematical and Physical Analysis of Fractional Dynamical Systems Guest Editors Dimplekumar N. Chalishajar and Kasinathan Ravikumar \| Number of Papers: 16
29269	Fractional Integral Inequalities and Applications, 2nd Edition Guest Editors Artion Kashuri and Hari Mohan Srivastava \| Number of Papers: 14

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