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Citations	Article
179	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
105	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
93	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
84	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
82	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
77	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
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	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
66	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
179	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
105	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
84	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
49	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
34	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
34	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
34	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
33	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
31	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
29	A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor by Xuan Wang, Yinghong Cao, Hongjie Li and Bo Li

Citations	Article
34	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
27	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
20	Applications of Fractional-Order Calculus in Robotics by Abhaya Pal Singh and Kishore Bingi
18	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
15	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	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
14	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
13	Mittag-Leffler Synchronization in Finite Time for Uncertain Fractional-Order Multi-Delayed Memristive Neural Networks with Time-Varying Perturbations via Information Feedback by Hongguang Fan, Xijie Chen, Kaibo Shi, Yaohua Liang, Yang Wang and Hui Wen
13	An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions by Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, Ruhaila Md Kasmani and Sania Qureshi
11	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

Citations	Article
15	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
9	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
7	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
7	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
6	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	Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System by Zhao Li and Ejaz Hussain
5	Mechanical Response of Mudstone Based on Acoustic Emission Fractal Features by Xianyin Chang, Yunpei Liang and Qican Ran
5	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
5	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
4	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran

Citations	Article
196	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
179	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
145	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
131	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
130	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
123	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
114	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
105	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	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
94	Fractal Analysis on Pore Structure and Modeling of Hydration of Magnesium Phosphate Cement Paste by Yuxiang Peng, Shengwen Tang, Jiasheng Huang, Can Tang, Lei Wang and Yufei Liu

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10632	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
8646	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
7429	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
7105	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6566	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
5633	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee
5562	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
5409	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
5374	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov

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8646	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
7105	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
5374	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
4639	Multi-Machine Power System Transient Stability Enhancement Utilizing a Fractional Order-Based Nonlinear Stabilizer by Arman Fathollahi and Björn Andresen
4632	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
4593	Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning by Chuantai Jin and Yong Li
4562	*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
4330	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
4309	A Novel Method of Blockchain Cryptocurrency Price Prediction Using Fractional Grey Model by Yunfei Yang, Jiamei Xiong, Lei Zhao, Xiaomei Wang, Lianlian Hua and Lifeng Wu
4237	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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4158	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
2733	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
2651	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
2434	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
2423	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
2346	Adaptive Morphing Activation Function for Neural Networks by Oscar Herrera-Alcántara and Salvador Arellano-Balderas
2274	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż
2249	Applications of Fractional-Order Calculus in Robotics by Abhaya Pal Singh and Kishore Bingi
2133	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
2094	FLRNN-FGA: Fractional-Order Lipschitz Recurrent Neural Network with Frequency-Domain Gated Attention Mechanism for Time Series Forecasting by Chunna Zhao, Junjie Ye, Zelong Zhu and Yaqun Huang

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2651	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
1673	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran
1400	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
1311	A Comparative Study of Fractal Models Applied to Artificial and Natural Data by Gil Silva, Fernando Pellon de Miranda, Mateus Michelon, Ana Ovídio, Felipe Venturelli, João Parêdes, João Ferreira, Letícia Moraes, Flávio Barbosa and Alexandre Cury
1248	New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity by Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala and Badreddine Meftah
1236	Dynamical Analysis of Mpox Disease with Environmental Effects by Mlyashimbi Helikumi, Fredrick Ojija and Adquate Mhlanga
1185	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
1183	Construction of the Closed Form Wave Solutions for TFSMCH and (1 + 1) Dimensional TFDMBBM Equations via the EMSE Technique by Md. Asaduzzaman and Farhana Jesmin
1158	Discrete Element Study of Particle Size Distribution Shape Governing Critical State Behavior of Granular Material by Mingdong Jiang, Daniel Barreto, Zhi Ding and Kaifang Yang
1105	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

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14811	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
14020	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
10978	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
10939	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
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10632	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
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6572	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
5715	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4197	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
2068	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
1911	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1590	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
1528	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
1493	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee
1418	A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2) by Jing Yang, Xiaorong Hou and Yajun Li
1389	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério

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5715	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
1528	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
1389	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1331	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
1309	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1222	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
1115	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
957	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
948	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
918	*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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627	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
620	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
620	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
596	Predicting the Deformation of a Slope Using a Random Coefficient Panel Data Model by Zhenxia Yuan, Yadong Bian, Weijian Liu, Fuzhou Qi, Haohao Ma, Sen Zheng and Zhenzhu Meng
595	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
593	Damage Law and Reasonable Width of Coal Pillar under Gully Area: Linking Fractal Characteristics of Coal Pillar Fractures to Their Stability by Zhaopeng Wu, Yunpei Liang, Kaijun Miao, Qigang Li, Sichen Liu, Qican Ran, Wanjie Sun, Hualong Yin and Yun Ma
590	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
576	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
567	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
561	Fractional-Order Modeling and Identification for an SCR Denitrification Process by Wei Ai, Xinlei Lin, Ying Luo and Xiaowei Wang

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465	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
435	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran
412	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
372	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
350	Dynamic Failure Mechanism and Fractal Features of Fractured Rocks Under Quasi-Triaxial Static Pressures and Repeated Impact Loading by Peng Li, Yan Liu, Jie Zhang, Zhihong Dong, Xinghui Wu, Shengjun Miao and Meifeng Cai
343	An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets by Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Naeem Saleem, Maggie Aphane and Asima Razzaque
336	Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay by Madeaha Alghanmi and Shahad Alqurayqiri
329	Discrete Element Study of Particle Size Distribution Shape Governing Critical State Behavior of Granular Material by Mingdong Jiang, Daniel Barreto, Zhi Ding and Kaifang Yang
324	Design of a Novel Fractional Whale Optimization-Enhanced Support Vector Regression (FWOA-SVR) Model for Accurate Solar Energy Forecasting by Abdul Wadood, Hani Albalawi, Aadel Mohammed Alatwi, Hafeez Anwar and Tariq Ali
316	Topology of Locally and Non-Locally Generalized Derivatives by Dimiter Prodanov

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6572	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
6226	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
5715	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4830	Fractional Definite Integral by Manuel Ortigueira and José Machado
4197	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
3779	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
3425	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3280	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3119	Which Derivative? by Manuel Ortigueira and José Machado
3096	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

Most Cited & Viewed Special Issues

Most Cited Special Issues
Most Viewed Special Issues

Avg. Citations	Special Issue
27.18	Recent Advances in Fractional-Order Neural Networks: Theory and Application Guest Editors Zhouchao Wei and Lulu Lu \| Number of Papers: 11
19.25	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
18.17	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
15.67	Fractional Order Systems with Application to Electrical Power Engineering Guest Editors Arman Oshnoei and Behnam Mohammadi-Ivatloo \| Number of Papers: 12
9.17	Applications of Iterative Methods in Solving Nonlinear Equations Guest Editors Francisco I. Chicharro , Neus Garrido and Paula Triguero-Navarro \| Number of Papers: 12
9.06	Recent Advances in Fractional Differential Equations and Their Applications Guest Editors Xiaoli Chen and Dongfang Li \| Number of Papers: 17
7.64	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
7.23	Fractional Calculus and Hypergeometric Functions in Complex Analysis Guest Editors Gheorghe Oros and Georgia Irina Oros \| Number of Papers: 13
6.69	Feature Papers for Numerical and Computational Methods Section Guest Editor Riccardo Caponetto \| Number of Papers: 13
6.3	Feature Papers for the 'General Mathematics, Analysis' Section Guest Editors Ivanka Stamova and Gani Stamov \| Number of Papers: 10

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Views	Special Issue
54142	Recent Advances in Fractional-Order Neural Networks: Theory and Application Guest Editors Zhouchao Wei and Lulu Lu \| Number of Papers: 11
44050	Recent Advances in Fractional Differential Equations and Their Applications Guest Editors Xiaoli Chen and Dongfang Li \| Number of Papers: 17
35336	Fractal Analysis and Its Applications in Geophysical Science Guest Editors Mei Yin , Mengxi Zhang and Yi Rui \| Number of Papers: 17
34626	Advances in Fractional Modeling and Computation Guest Editors Yuri Mitkov Dimitrov , Venelin Todorov , Slavi Georgiev and Jordan Hristov \| Number of Papers: 21
32117	Fractional Order Systems with Application to Electrical Power Engineering Guest Editors Arman Oshnoei and Behnam Mohammadi-Ivatloo \| Number of Papers: 12
31809	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
28522	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
28461	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
28378	Recent Advances in Computational Physics with Fractional Application, 2nd Edition Guest Editors Lanre Akinyemi , Solomon Manukure and Mehmet Senol \| Number of Papers: 18
28021	Recent Advances in Time/Space-Fractional Evolution Equations Guest Editors Mokhtar Kirane , Changpin Li and Yufeng Xu \| Number of Papers: 15

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