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Citations	Article
206	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
138	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
132	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
101	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
93	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
93	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
81	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
74	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
74	Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration by Sheikh Zain Majid, Waqas Ali Faridi, Muhammad Imran Asjad, Magda Abd El-Rahman and Sayed M. Eldin
72	Multistability and Phase Synchronization of Rulkov Neurons Coupled with a Locally Active Discrete Memristor by Minglin Ma, Yaping Lu, Zhijun Li, Yichuang Sun and Chunhua Wang

Citations	Article
138	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
42	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
42	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
39	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
37	Real-Time Synchronisation of Multiple Fractional-Order Chaotic Systems: An Application Study in Secure Communication by Bachir Nail, Mahedi Abdelghani Atoussi, Slami Saadi, Imad Eddine Tibermacine and Christian Napoli
37	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
35	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
31	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
30	Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics by Muath Awadalla, Jihan Alahmadi, Kumama Regassa Cheneke and Sania Qureshi
30	A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory by Kaihong Zhao, Juqing Liu and Xiaojun Lv

Citations	Article
42	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
35	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
26	The Use of Artificial Intelligence in Data Analysis with Error Recognitions in Liver Transplantation in HIV-AIDS Patients Using Modified ABC Fractional Order Operators by Hasib Khan, Jehad Alzabut, D. K. Almutairi and Wafa Khalaf Alqurashi
21	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
20	Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network by Yujie Shen, Zhaowei Li, Xiang Tian, Kai Ji and Xiaofeng Yang
19	An Adsorption Model Considering Fictitious Stress by Xiaohua Tan, Xinjian Ma, Xiaoping Li and Yilong Li
15	A New Approach Based on Metaheuristic Optimization Using Chaotic Functional Connectivity Matrices and Fractal Dimension Analysis for AI-Driven Detection of Orthodontic Growth and Development Stage by Orhan Cicek, Yusuf Bahri Özçelik and Aytaç Altan
14	Mechanical Response of Mudstone Based on Acoustic Emission Fractal Features by Xianyin Chang, Yunpei Liang and Qican Ran
14	Chaos in Fractional-Order Glucose–Insulin Models with Variable Derivatives: Insights from the Laplace–Adomian Decomposition Method and Generalized Euler Techniques by Sayed Saber, Emad Solouma, Rasmiyah A. Alharb and Ahmad Alalyani
14	Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System by Zhao Li and Ejaz Hussain

Citations	Article
35	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
9	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
8	Multi-Focus Image Fusion Based on Dual-Channel Rybak Neural Network and Consistency Verification in NSCT Domain by Ming Lv, Sensen Song, Zhenhong Jia, Liangliang Li and Hongbing Ma
8	A Fractional Derivative Insight into Full-Stage Creep Behavior in Deep Coal by Shuai Yang, Hongchen Song, Hongwei Zhou, Senlin Xie, Lei Zhang and Wentao Zhou
6	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
6	Soliton Dynamics of the Nonlinear Kodama Equation with M-Truncated Derivative via Two Innovative Schemes: The Generalized Arnous Method and the Kudryashov Method by Khizar Farooq, Ali. H. Tedjani, Zhao Li and Ejaz Hussain
5	Exploring Novel Optical Soliton Molecule for the Time Fractional Cubic–Quintic Nonlinear Pulse Propagation Model by Syed T. R. Rizvi, Atef F. Hashem, Azrar Ul Hassan, Sana Shabbir, A. S. Al-Moisheer and Aly R. Seadawy
4	Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels by Maryam Alkandari, Dimitri Loutchko and Yuri Luchko
4	Fractal Characterization and NMR Analysis of Curing-Dependent Pore Structures in Cemented Tailings Waste RockBackfill by Jianhui Qiu, Xin Xiong and Keping Zhou
4	On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation by Cemil Tunç, Fehaid Salem Alshammari and Fahir Talay Akyıldız

Citations	Article
206	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
165	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
138	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
137	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
133	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
132	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
131	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
104	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir

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36483	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
12138	The Mathematics of ‘Natural Beauty’ in the Architecture of Andrea Palladio and Le Corbusier: An Analysis of Colin Rowe’s Theory of Formal Complexity Using Fractal Dimensions by Michael J. Dawes, Michael J. Ostwald and Ju Hyun Lee
11210	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
10193	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
9103	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
7783	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
7763	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
7143	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
6317	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
6071	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen

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7783	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
7763	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6071	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
5747	Chance or Chaos? Fractal Geometry Aimed to Inspect the Nature of Bitcoin by Esther Cabezas-Rivas, Felipe Sánchez-Coll and Isaac Tormo-Xaixo
5745	Day of the Week Effect on the World Exchange Rates through Fractal Analysis by Werner Kristjanpoller and Benjamin Miranda Tabak
5437	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
5400	*The Multiscale Principle in Nature (Principium luxuriæ): Linking Multiscale Thermodynamics to Living and Non-Living Complex Systems* by Patricio Venegas-Aravena and Enrique G. Cordaro
5358	The Impact of Turkish Economic News on the Fractality of Borsa Istanbul: A Multidisciplinary Approach by Mehmet Ali Balcı, Ömer Akgüller, Larissa M. Batrancea and Anca Nichita
5280	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
4792	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

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4416	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
4329	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
3994	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
3530	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
3254	Fractional Moore–Gibson–Thompson Heat Conduction for Vibration Analysis of Non-Local Thermoelastic Micro-Beams on a Viscoelastic Pasternak Foundation by Yahya Ahmed, Adam Zakria, Osman Abdalla Adam Osman, Muntasir Suhail and Mohammed Nour A. Rabih
3198	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
3138	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho
3124	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
3064	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
3036	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran

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4329	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
3994	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
2212	Fractal Properties of the Cosmic Web by Jaan Einasto
1979	Systemic Risk Contagion in China’s Financial–Real Estate Network: Modeling and Forecasting via Fractional-Order PDEs by Weiye Sun, Yulian An and Yijin Gao
1663	Stylized Facts of High-Frequency Bitcoin Time Series by Yaoyue Tang, Karina Arias-Calluari, Morteza Nattagh Najafi, Michael S. Harré and Fernando Alonso-Marroquin
1636	Nonlinear Dynamics of RMB Exchange Rate Volatility: A Multifractal Perspective Within the G-Expectation Framework by Weilan Zhang and Zhigang Huang
1561	Bidirectional Mamba-Enhanced 3D Human Pose Estimation for Accurate Clinical Gait Analysis by Chengjun Wang, Wenhang Su, Jiabao Li and Jiahang Xu
1522	Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators by Chenkuan Li, Nate Fingas and Ying Ying Ou
1471	Exploring SEIR Influenza Epidemic Model via Fuzzy ABC Fractional Derivatives with Crowley–Martin Incidence Rate by F. Gassem, Ashraf A. Qurtam, Mohammed Almalahi, Mohammed Rabih, Khaled Aldwoah, Abdelaziz El-Sayed and E. I. Hassan
1460	Fractional Mathematical Modelling: Theory, Methods and Applications by Faranak Rabiei, Dongwook Kim and Zeeshan Ali

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36483	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
16271	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
14879	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
13869	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
13722	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
13017	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
12138	The Mathematics of ‘Natural Beauty’ in the Architecture of Andrea Palladio and Le Corbusier: An Analysis of Colin Rowe’s Theory of Formal Complexity Using Fractal Dimensions by Michael J. Dawes, Michael J. Ostwald and Ju Hyun Lee
11210	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
10193	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
9739	*Examining the Position of Wright’s Fallingwater* in the Context of His Larger Body of Work: An Analysis Using Fractal Dimensions by Josephine Vaughan and Michael J. Ostwald**

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7258	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
5967	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4269	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
2158	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1926	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
1797	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
1617	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1602	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1531	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
1423	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

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5967	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
1617	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1316	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
1124	Application of Tilt Integral Derivative for Efficient Speed Control and Operation of BLDC Motor Drive for Electric Vehicles by Khairy Sayed, Hebatallah H. El-Zohri, Adel Ahmed and Mohamed Khamies
1109	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
1083	*The Multiscale Principle in Nature (Principium luxuriæ): Linking Multiscale Thermodynamics to Living and Non-Living Complex Systems* by Patricio Venegas-Aravena and Enrique G. Cordaro
984	Fractional-Order Modeling of Piezoelectric Actuators with Coupled Hysteresis and Creep Effects by Yifan Xu, Ying Luo, Xin Luo, Yangquan Chen and Wei Liu
915	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
914	Urban Meteorology, Pollutants, Geomorphology, Fractality, and Anomalous Diffusion by Patricio Pacheco, Eduardo Mera, Gustavo Navarro and Carolina Parodi
909	Research on Application of Fractional Calculus Operator in Image Underlying Processing by Guo Huang, Hong-ying Qin, Qingli Chen, Zhanzhan Shi, Shan Jiang and Chenying Huang

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758	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
664	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
612	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran
604	The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression by Pengjin Yang, Shengjun Miao, Kesheng Li, Xiangfan Shang, Pengliang Li and Meifeng Cai
595	Dynamic Analysis of a 10-Dimensional Fractional-Order Hyperchaotic System Using Advanced Hyperchaotic Metrics by Muhammad Sarfraz, Jiang Zhou, Mazhar Islam, Akhter Rasheed and Qi Liu
570	Automatic Voltage Regulator Betterment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO by Mokhtar Shouran and Mohammed Alenezi
540	Collinear Fractals and Bandt’s Conjecture by Bernat Espigule, David Juher and Joan Saldaña
509	Discrete Fractional-Order Modeling of Recurrent Childhood Diseases Using the Caputo Difference Operator by Yasir A. Madani, Zeeshan Ali, Mohammed Rabih, Amer Alsulami, Nidal H. E. Eljaneid, Khaled Aldwoah and Blgys Muflh
505	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
491	Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions by You Li, Ying Sun, Jingyu Luo, Jiayi Pang and Bingjie Liu

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391	Multi-Focus Image Fusion Based on Dual-Channel Rybak Neural Network and Consistency Verification in NSCT Domain by Ming Lv, Sensen Song, Zhenhong Jia, Liangliang Li and Hongbing Ma
371	A Kangaroo Escape Optimizer-Enabled Fractional-Order PID Controller for Enhancing Dynamic Stability in Multi-Area Power Systems by Sulaiman Z. Almutairi and Abdullah M. Shaheen
338	Statistical Insights into Spatial Patterns: A Panorama About Lacunarity by Erveton P. Pinto, Marcelo A. Pires, Thiago B. F. Antunes, Rone N. da Silva and Sílvio M. Duarte Queirós
331	Fractal and Multifractal Analysis as Methods of Quantifying Dendritic Complexity Changes in the Traumatic Brain Injury Model by Rada Jeremić, Nemanja Rajković, Sanja Peković, Sanja Dacić, Irena Lavrnja, Ivana Bjelobaba, Marija Jeremić, Vladimir Baščarević, Predrag Brkić, Nebojša T. Milošević and Ivan Zaletel
294	FGFNet: Fourier Gated Feature-Fusion Network with Fractal Dimension Estimation for Robust Palm-Vein Spoof Detection by Seung Gu Kim, Jung Soo Kim and Kang Ryoung Park
291	Neural Optimization Techniques for Noisy-Data Observer-Based Neuro-Adaptive Control for Strict-Feedback Control Systems: Addressing Tracking and Predefined Accuracy Constraints by Abdulaziz Garba Ahmad and Taher Alzahrani
289	Pore Structure Quantitative Characterization of Tight Sandstones Based on Deep Learning and Fractal Analysis by Xinglei Song, Congjun Feng, Teng Li, Qin Zhang, Jiaqi Zhou and Mengsi Sun
288	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
284	Exploring SEIR Influenza Epidemic Model via Fuzzy ABC Fractional Derivatives with Crowley–Martin Incidence Rate by F. Gassem, Ashraf A. Qurtam, Mohammed Almalahi, Mohammed Rabih, Khaled Aldwoah, Abdelaziz El-Sayed and E. I. Hassan
281	Existence of Solutions to Fractional Differential Equations with Mixed Caputo–Riemann Derivative by Mahir Almatarneh, Sonuc Zorlu and Nazim I. Mahmudov

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7258	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
6356	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
5967	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4908	Fractional Definite Integral by Manuel Ortigueira and José Machado
4269	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
4022	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
3520	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3390	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3386	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
3320	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

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7.6	Metric Spaces with Its Application to Fractional Differential Equations Guest Editors Khurram Shabbir , Monica-Felicia Bota and Liliana Guran \| Number of Papers: 10
7.42	Advances in Nonlinear Functional Analysis on Fractional Differential Equations Guest Editor Bipan Hazarika \| Number of Papers: 12
6.9	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
6.82	Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition Guest Editors Arman Oshnoei and Mahdieh Sadat Sadabadi \| Number of Papers: 11
6.79	Fractal and Fractional in Geotechnical Engineering Guest Editors Shao-Heng He, Zhi Ding and Panpan Guo \| Number of Papers: 14
6.31	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
6.21	Fractional Integral Inequalities and Applications, 2nd Edition Guest Editors Artion Kashuri and Hari Mohan Srivastava \| Number of Papers: 14
6.09	Recent Advances in the Spatial and Temporal Discretizations of Fractional PDEs Guest Editors Xian-Ming Gu , Hongbin Chen, Shulin Wu and Xiangcheng Zheng \| Number of Papers: 11
5.81	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
5.8	Fractional Order Complex Systems: Advanced Control, Intelligent Estimation and Reinforcement Learning Image Processing Algorithms Guest Editors Jin-Xi Zhang , Xuefeng Zhang , Driss Boutat and Da-Yan Liu \| Number of Papers: 15

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Views	Special Issue
43850	Advances in Fractional Modeling and Computation Guest Editors Yuri Mitkov Dimitrov , Venelin Todorov , Slavi Georgiev and Jordan Hristov \| Number of Papers: 21
38419	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
38244	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
35995	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
33209	Fractional Order Complex Systems: Advanced Control, Intelligent Estimation and Reinforcement Learning Image Processing Algorithms Guest Editors Jin-Xi Zhang , Xuefeng Zhang , Driss Boutat and Da-Yan Liu \| Number of Papers: 15
31427	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
29905	Fractal and Fractional in Geotechnical Engineering Guest Editors Shao-Heng He, Zhi Ding and Panpan Guo \| Number of Papers: 14
29455	Applications of Fractional-Order Systems to Automatic Control Guest Editors Germán Ardul Muñoz-Hernández and José Fermi Guerrero-Castellanos \| Number of Papers: 14
28083	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
27653	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

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