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Citations	Article
197	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
124	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
110	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
91	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
88	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
82	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
74	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	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh

Citations	Article
124	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
39	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	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	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
34	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
32	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
30	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
28	General Methods to Synchronize Fractional Discrete Reaction–Diffusion Systems Applied to the Glycolysis Model by Tareq Hamadneh, Amel Hioual, Rania Saadeh, Mohamed A. Abdoon, Dalal Khalid Almutairi, Thwiba A. Khalid and Adel Ouannas
28	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
28	Predator–Prey Interaction with Fear Effects: Stability, Bifurcation and Two-Parameter Analysis Incorporating Complex and Fractal Behavior by Qamar Din, Raja Atif Naseem and Muhammad Sajjad Shabbir

Citations	Article
30	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
20	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
17	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
16	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
14	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
14	An Adsorption Model Considering Fictitious Stress by Xiaohua Tan, Xinjian Ma, Xiaoping Li and Yilong Li
14	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
13	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
13	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
13	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
13	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
12	Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System by Zhao Li and Ejaz Hussain
12	Optical Solutions of the Nonlinear Kodama Equation with the M-Truncated Derivative via the Extended (G^′/G)-Expansion Method by Zhao Li
8	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	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
6	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
5	Slope Deformation Prediction Combining Particle Swarm Optimization-Based Fractional-Order Grey Model and K-Means Clustering by Zhenzhu Meng, Yating Hu, Shunqiang Jiang, Sen Zheng, Jinxin Zhang, Zhenxia Yuan and Shaofeng Yao
5	Analytical and Dynamical Study of Solitary Waves in a Fractional Magneto-Electro-Elastic System by Sait San, Beenish and Fehaid Salem Alshammari
4	A Fractal Characteristics Analysis of the Pore Throat Structure in Low-Permeability Sandstone Reservoirs: A Case Study of the Yanchang Formation, Southeast Ordos Basin by Huanmeng Zhang, Xiaojun Li, Junfeng Liu, Yiping Wang, Ling Guo, Zhiyu Wu and Yafei Tian

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
197	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
156	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
126	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
124	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
123	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
110	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
103	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir

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32364	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
11135	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
10090	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
8755	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
8127	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
7401	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6134	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
5831	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
5666	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
5651	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

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7401	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6134	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
5666	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
5135	Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning by Chuantai Jin and Yong Li
5042	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
4933	*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
4871	Chance or Chaos? Fractal Geometry Aimed to Inspect the Nature of Bitcoin by Esther Cabezas-Rivas, Felipe Sánchez-Coll and Isaac Tormo-Xaixo
4853	Multi-Machine Power System Transient Stability Enhancement Utilizing a Fractional Order-Based Nonlinear Stabilizer by Arman Fathollahi and Björn Andresen
4584	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4025	Mathematical Modeling of Breast Cancer Based on the Caputo–Fabrizio Fractal-Fractional Derivative by Muhammad Idrees, Abeer S. Alnahdi and Mdi Begum Jeelani

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5666	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
3792	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
3221	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
3198	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
2978	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
2918	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
2865	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
2790	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż
2556	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
2306	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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3198	A Multidisciplinary Approach to Triangular Shapes: Philosophy, Art, Mathematical Properties, and Application Purposes for High-Frequency Signal Processing Using Sierpiński Geometry by Romolo Marcelli
2978	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
2034	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
1830	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
1674	Dynamical Analysis of Mpox Disease with Environmental Effects by Mlyashimbi Helikumi, Fredrick Ojija and Adquate Mhlanga
1630	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho
1573	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
1535	SafeWitness: Crowdsensing-Based Geofencing Approach for Dynamic Disaster Risk Detection by Yongmun Cho, Mincheol Shin, Ka Lok Man and Mucheol Kim
1274	Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization by Tauqeer Ahmad, Muhammad Sulaiman, David Bassir, Fahad Sameer Alshammari and Ghaylen Laouini
1258	Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators by Chenkuan Li, Nate Fingas and Ying Ying Ou

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32364	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
15369	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
14338	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
12055	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
12028	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
11877	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
11135	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
10090	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
9431	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
8755	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi

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6898	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
5861	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4220	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
2026	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1697	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
1652	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
1634	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
1494	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1459	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1458	A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2) by Jing Yang, Xiaorong Hou and Yajun Li

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5861	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
1459	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1201	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
1030	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
1014	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
990	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
975	*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
940	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
914	Mixed Multi-Chaos Quantum Image Encryption Scheme Based on Quantum Cellular Automata (QCA) by Nehal Abd El-Salam Mohamed, Hala El-Sayed and Aliaa Youssif
873	Fractional-Order Modeling of Piezoelectric Actuators with Coupled Hysteresis and Creep Effects by Yifan Xu, Ying Luo, Xin Luo, Yangquan Chen and Wei Liu

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714	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
694	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
693	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
668	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
644	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
641	Fractional-Order Modeling and Identification for an SCR Denitrification Process by Wei Ai, Xinlei Lin, Ying Luo and Xiaowei Wang
639	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
630	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
602	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
590	Estimation of Fractal Dimension and Segmentation of Body Regions for Deep Learning-Based Gender Recognition by Dong Chan Lee, Min Su Jeong, Seong In Jeong, Seung Yong Jung and Kang Ryoung Park

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384	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
346	Uncertainty-Aware Self-Attention Model for Time Series Prediction with Missing Values by Jiabao Li, Chengjun Wang, Wenhang Su, Dongdong Ye and Ziyang Wang
311	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
299	Graph-Based Stock Volatility Forecasting with Effective Transfer Entropy and Hurst-Based Regime Adaptation by Sangheon Lee and Poongjin Cho
296	Optimizing Load Frequency Control of Multi-Area Power Renewable and Thermal Systems Using Advanced Proportional–Integral–Derivative Controllers and Catch Fish Algorithm by Saleh A. Alnefaie, Abdulaziz Alkuhayli and Abdullah M. Al-Shaalan
294	A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations by Bashir Ahmad, Hafed A. Saeed and Sotiris K. Ntouyas
291	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
288	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
286	Estimation of Fractal Dimensions and Classification of Plant Disease with Complex Backgrounds by Muhammad Hamza Tariq, Haseeb Sultan, Rehan Akram, Seung Gu Kim, Jung Soo Kim, Muhammad Usman, Hafiz Ali Hamza Gondal, Juwon Seo, Yong Ho Lee and Kang Ryoung Park
283	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

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6898	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
6293	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
5861	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4867	Fractional Definite Integral by Manuel Ortigueira and José Machado
4220	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
3852	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
3465	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3322	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3241	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
3229	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
20.58	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
19.92	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
8.64	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
7.06	Recent Advances in Computational Physics with Fractional Application, 2nd Edition Guest Editors Lanre Akinyemi , Solomon Manukure and Mehmet Senol \| Number of Papers: 18
6.67	Advances in Nonlinear Functional Analysis on Fractional Differential Equations Guest Editor Bipan Hazarika \| Number of Papers: 12
6.4	Feature Papers for the 'General Mathematics, Analysis' Section Guest Editors Ivanka Stamova and Gani Stamov \| Number of Papers: 10
6.15	Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition Guest Editor Rodica Luca \| Number of Papers: 13
5.9	Fractional Order Controllers for Non-linear Systems Guest Editors Chendrayan Dineshkumar and Velusamy Vijayakumar \| Number of Papers: 10
5.86	Fractal and Fractional in Geotechnical Engineering Guest Editors Shao-Heng He, Zhi Ding and Panpan Guo \| Number of Papers: 14
5.73	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

More Special Issues...

Views	Special Issue
38083	Advances in Fractional Modeling and Computation Guest Editors Yuri Mitkov Dimitrov , Venelin Todorov , Slavi Georgiev and Jordan Hristov \| Number of Papers: 21
34107	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
32229	Fractal Analysis and Its Applications in Rock Engineering Guest Editors Lihai Tan , Xiaohan Yang and Gaofeng Liu \| Number of Papers: 21
30838	Recent Advances in Computational Physics with Fractional Application, 2nd Edition Guest Editors Lanre Akinyemi , Solomon Manukure and Mehmet Senol \| Number of Papers: 18
29983	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
29134	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
29002	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
28523	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
28209	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
27258	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

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