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Citations	Article
191	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
120	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
101	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
89	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
86	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
81	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
73	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
70	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
67	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
66	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

Citations	Article
191	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
120	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
89	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
37	Exploring Families of Solitary Wave Solutions for the Fractional Coupled Higgs System Using Modified Extended Direct Algebraic Method by Muhammad Bilal, Javed Iqbal, Rashid Ali, Fuad A. Awwad and Emad A. A. Ismail
37	Synchronization of Fractional-Order Delayed Neural Networks Using Dynamic-Free Adaptive Sliding Mode Control by Majid Roohi, Chongqi Zhang, Mostafa Taheri and Andreas Basse-O’Connor
37	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
35	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
34	Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation by Waleed Mohamed Abd-Elhameed, Youssri Hassan Youssri, Amr Kamel Amin and Ahmed Gamal Atta
32	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
29	Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains by Sabri T. M. Thabet, Miguel Vivas-Cortez, Imed Kedim, Mohammad Esmael Samei and M. Iadh Ayari

Citations	Article
37	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
25	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
20	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
17	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
16	Modeling Ebola Dynamics with a Φ-Piecewise Hybrid Fractional Derivative Approach by Tariq Alraqad, Mohammed A. Almalahi, Naglaa Mohammed, Ayman Alahmade, Khaled A. Aldwoah and Hicham Saber
15	Consensus of T-S Fuzzy Fractional-Order, Singular Perturbation, Multi-Agent Systems by Xiyi Wang, Xuefeng Zhang, Witold Pedrycz, Shuang-Hua Yang and Driss Boutat
13	Fractal-Fractional-Order Modeling of Liver Fibrosis Disease and Its Mathematical Results with Subinterval Transitions by Amjad E. Hamza, Osman Osman, Arshad Ali, Amer Alsulami, Khaled Aldwoah, Alaa Mustafa and Hicham Saber
12	An Adsorption Model Considering Fictitious Stress by Xiaohua Tan, Xinjian Ma, Xiaoping Li and Yilong Li
12	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
11	Analysis of Impact Crushing Characteristics of Steel Fiber Reinforced Recycled Aggregate Concrete Based on Fractal Theory by Xianggang Zhang, Yanan Zhu, Junbo Wang, Gaoqiang Zhou and Yajun Huang

Citations	Article
25	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
12	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
11	Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System by Zhao Li and Ejaz Hussain
10	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
10	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
10	Optical Solutions of the Nonlinear Kodama Equation with the M-Truncated Derivative via the Extended (G^′/G)-Expansion Method by Zhao Li
8	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
7	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
6	Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods by Mohamed Abdalla, Md. Mamunur Roshid, Mahtab Uddin and Mohammad Safi Ullah
6	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

Citations	Article
197	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
191	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
152	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
133	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
131	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
124	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
123	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
120	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
102	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
101	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

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31312	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
10942	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
9245	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
8055	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
7323	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
5906	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
5743	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
5731	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
5624	Some Certain Fuzzy Fractional Inequalities for Up and Down ℏ-Pre-Invex via Fuzzy-Number Valued Mappings by Muhammad Bilal Khan, Adriana Catas, Najla Aloraini and Mohamed S. Soliman
5111	Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses by Ahmed Salem and Kholoud N. Alharbi

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9245	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
7323	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
5906	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
5731	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
5108	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
4992	Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning by Chuantai Jin and Yong Li
4873	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
4828	*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
4823	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
4805	Multi-Machine Power System Transient Stability Enhancement Utilizing a Fractional Order-Based Nonlinear Stabilizer by Arman Fathollahi and Björn Andresen

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5108	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
3455	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
2989	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
2796	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
2783	Hover Flight Improvement of a Quadrotor Unmanned Aerial Vehicle Using PID Controllers with an Integral Effect Based on the Riemann–Liouville Fractional-Order Operator: A Deterministic Approach by Gustavo Delgado-Reyes, Jorge Salvador Valdez-Martínez, Pedro Guevara-López and Miguel Angel Hernández-Pérez
2676	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
2646	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż
2518	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
2427	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
2261	FPGA Realization of a Fractional-Order Model of Universal Memory Elements by Opeyemi-Micheal Afolabi, Vincent-Ademola Adeyemi, Esteban Tlelo-Cuautle and Jose-Cruz Nuñez-Perez

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2796	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
2676	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
2518	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
1710	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
1663	Enhancing Banking Transaction Security with Fractal-Based Image Steganography Using Fibonacci Sequences and Discrete Wavelet Transform by Alina Iuliana Tabirca, Catalin Dumitrescu and Valentin Radu
1587	Dynamical Analysis of Mpox Disease with Environmental Effects by Mlyashimbi Helikumi, Fredrick Ojija and Adquate Mhlanga
1558	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
1342	Control Error Convergence Using Lyapunov Direct Method Approach for Mixed Fractional Order Model Reference Adaptive Control by Gustavo E. Ceballos Benavides, Manuel A. Duarte-Mermoud and Lisbel Bárzaga Martell
1302	SafeWitness: Crowdsensing-Based Geofencing Approach for Dynamic Disaster Risk Detection by Yongmun Cho, Mincheol Shin, Ka Lok Man and Mucheol Kim
1298	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho

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31312	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
15188	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
14237	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
11663	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
11640	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
11512	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
10942	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
9389	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
9245	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
8278	Sets of Fractional Operators and Numerical Estimation of the Order of Convergence of a Family of Fractional Fixed-Point Methods by A. Torres-Hernandez and F. Brambila-Paz

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6802	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
5840	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4214	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
1994	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1625	Carbon Fibers and Graphite as Pore-Forming Agents for the Obtention of Porous Alumina: Correlating Physical and Fractal Characteristics by Litong Fang, Chang Chen and Yubin Wang
1617	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
1542	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
1468	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1445	A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2) by Jing Yang, Xiaorong Hou and Yajun Li
1416	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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5840	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
1617	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
1468	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1416	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1269	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
1186	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
1017	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
995	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
964	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
959	*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

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690	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
677	Fractal Dimension-Based Multi-Focus Image Fusion via Coupled Neural P Systems in NSCT Domain by Liangliang Li, Xiaobin Zhao, Huayi Hou, Xueyu Zhang, Ming Lv, Zhenhong Jia and Hongbing Ma
660	RGB-D Camera and Fractal-Geometry-Based Maximum Diameter Estimation Method of Apples for Robot Intelligent Selective Graded Harvesting by Bin Yan and Xiameng Li
653	Factors Controlling Differences in Morphology and Fractal Characteristics of Organic Pores of Longmaxi Shale in Southern Sichuan Basin, China by Yuanlin Wang, Denglin Han, Wei Lin, Yunqian Jia, Jizhen Zhang, Chenchen Wang and Binyu Ma
633	Voltage Controller Design for Offshore Wind Turbines: A Machine Learning-Based Fractional-Order Model Predictive Method by Ashkan Safari, Hossein Hassanzadeh Yaghini, Hamed Kharrati, Afshin Rahimi and Arman Oshnoei
624	Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System by Hani Albalawi, Sherif A. Zaid, Aadel M. Alatwi and Mohamed Ahmed Moustafa
623	Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation by Ganbayar Batchuluun, Seung Gu Kim, Jung Soo Kim, Tahir Mahmood and Kang Ryoung Park
612	Fractional-Order Modeling and Identification for an SCR Denitrification Process by Wei Ai, Xinlei Lin, Ying Luo and Xiaowei Wang
603	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
594	Pore Space Characteristics and Migration Changes in Hydrocarbons in Shale Reservoir by Yiqian Qu, Siqi Ouyang, Jianwen Gao, Jian Shi, Yiying Wu, Yuting Cheng, Zhen Zhou, Zhou Lyu, Wei Sun and Hanning Wu

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360	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
334	Analysis of the Spatiotemporal Patterns of Water Conservation in the Yangtze River Ecological Barrier Zone Based on the InVEST Model and SWAT-BiLSTM Model Using Fractal Theory: A Case Study of the Minjiang River Basin by Xianqi Zhang, Jiawen Liu, Jie Zhu, Wanhui Cheng and Yuehan Zhang
330	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
316	Physics-Informed Fractional-Order Recurrent Neural Network for Fast Battery Degradation with Vehicle Charging Snippets by Yanan Wang, Min Wei, Feng Dai, Daijiang Zou, Chen Lu, Xuebing Han, Yangquan Chen and Changwei Ji
308	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
301	Optimal Coordination of Directional Overcurrent Relays Using an Innovative Fractional-Order Derivative War Algorithm by Bakht Muhammad Khan, Abdul Wadood, Herie Park, Shahbaz Khan and Husan Ali
298	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
297	Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods by Mohamed Abdalla, Md. Mamunur Roshid, Mahtab Uddin and Mohammad Safi Ullah
297	Control Error Convergence Using Lyapunov Direct Method Approach for Mixed Fractional Order Model Reference Adaptive Control by Gustavo E. Ceballos Benavides, Manuel A. Duarte-Mermoud and Lisbel Bárzaga Martell
283	A Short Note on Fractal Interpolation in the Space of Convex Lipschitz Functions by Fatin Gota and Peter Massopust

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6802	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
6268	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
5840	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4856	Fractional Definite Integral by Manuel Ortigueira and José Machado
4214	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
3828	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
3458	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3304	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3211	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
3185	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
19.67	Numerical Simulations and Advanced Techniques for Nonlinear Fractional Evolution Models Guest Editors Ghazala Akram , Muhammad Abbas , Ali Akgül and Maasoomah Sadaf \| Number of Papers: 12
19.67	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
8.21	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
7.23	Feature Papers for Numerical and Computational Methods Section Guest Editor Riccardo Caponetto \| Number of Papers: 13
6.58	Advances in Nonlinear Functional Analysis on Fractional Differential Equations Guest Editor Bipan Hazarika \| Number of Papers: 12
6.56	Recent Advances in Computational Physics with Fractional Application, 2nd Edition Guest Editors Lanre Akinyemi , Solomon Manukure and Mehmet Senol \| Number of Papers: 18
6.3	Feature Papers for the 'General Mathematics, Analysis' Section Guest Editors Ivanka Stamova and Gani Stamov \| Number of Papers: 10
5.92	Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition Guest Editor Rodica Luca \| Number of Papers: 13
5.7	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
5.64	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

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Views	Special Issue
37000	Advances in Fractional Modeling and Computation Guest Editors Yuri Mitkov Dimitrov , Venelin Todorov , Slavi Georgiev and Jordan Hristov \| Number of Papers: 21
33344	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
31053	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
30079	Recent Advances in Computational Physics with Fractional Application, 2nd Edition Guest Editors Lanre Akinyemi , Solomon Manukure and Mehmet Senol \| Number of Papers: 18
29552	Numerical Simulations and Advanced Techniques for Nonlinear Fractional Evolution Models Guest Editors Ghazala Akram , Muhammad Abbas , Ali Akgül and Maasoomah Sadaf \| Number of Papers: 12
28945	Mathematical Inequalities in Fractional Calculus and Applications Guest Editors Seth Kermausuor and Eze Nwaeze \| Number of Papers: 16
28671	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
27808	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
27522	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
26693	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

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