Most Cited & Viewed

Most Cited & Viewed Papers

Citations Article
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
 
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
 
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
 
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
 
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
 
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
 
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
 
Applications of Fractional-Order Calculus in Robotics
by Abhaya Pal Singh and Kishore Bingi
 
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
 
Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion
by Yuqian Yang, Qingwen Qi, Jingyao Hu, Jiashu Dai and Chengdong Yang
Views Article
Some Insights into the Sierpiński Triangle Paradox
by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations
by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems
by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
Day of the Week Effect on the World Exchange Rates through Fractal Analysis
by Werner Kristjanpoller and Benjamin Miranda Tabak
Review of the Fractional Black-Scholes Equations and Their Solution Techniques
by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
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
Chance or Chaos? Fractal Geometry Aimed to Inspect the Nature of Bitcoin
by Esther Cabezas-Rivas, Felipe Sánchez-Coll and Isaac Tormo-Xaixo
The Impact of Turkish Economic News on the Fractality of Borsa Istanbul: A Multidisciplinary Approach
by Mehmet Ali Balcı, Ömer Akgüller, Larissa M. Batrancea and Anca Nichita
Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning
by Chuantai Jin and Yong Li
Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension
by Oleksandr Tomchuk
Downloads Article
Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension
by Oleksandr Tomchuk
Review of the Fractional Black-Scholes Equations and Their Solution Techniques
by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications
by Albert Sabban
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
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
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
Estimation of Fractal Dimension and Segmentation of Brain Tumor with Parallel Features Aggregation Network
by Haseeb Sultan, Nadeem Ullah, Jin Seong Hong, Seung Gu Kim, Dong Chan Lee, Seung Yong Jung and Kang Ryoung Park
Fractal-Based Multi-Criteria Feature Selection to Enhance Predictive Capability of AI-Driven Mineral Prospectivity Mapping
by Tao Sun, Mei Feng, Wenbin Pu, Yue Liu, Fei Chen, Hongwei Zhang, Junqi Huang, Luting Mao and Zhiqiang Wang
Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations
by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
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

Most Cited & Viewed Special Issues

Published: Last 36 months
Avg. Citations Special Issue
 
21.09
Advances in Fractional-Order Chaotic and Complex Systems
Guest Editors , and | Number of Papers: 11
 
11.91
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
Guest Editors and Mahdieh Sadat Sadabadi | Number of Papers: 11
 
11.4
Analysis and Modeling of Fractional-Order Dynamical Networks
Guest Editors Fei Wang and | Number of Papers: 10
 
9.58
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
7.55
Advances in Fractional Differential Operators and Their Applications, 2nd Edition
Guest Editors , and | Number of Papers: 11
Published: Last 36 months
Views Special Issue
 
54089
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
34787
Fractional Systems, Integrals and Derivatives: Theory and Application
Guest Editors and | Number of Papers: 20
 
33402
Analysis and Numerical Computations of Nonlinear Fractional and Classical Differential Equations
Guest Editors , , , and Ahmed Refaie Ali | Number of Papers: 22
 
31924
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
Guest Editors and Mahdieh Sadat Sadabadi | Number of Papers: 11
 
31012
Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives
Guest Editors Phumlani Dlamini and Simphiwe Simelane | Number of Papers: 15
 
27235
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
Guest Editors , and | Number of Papers: 12
 
25389
Analysis of Fractional Stochastic Differential Equations and Their Applications
Guest Editors Zhiguo Luo and Danfeng Luo | Number of Papers: 15
 
23299
Advances in Fractional Differential Operators and Their Applications, 2nd Edition
Guest Editors , and | Number of Papers: 11
 
23151
Fractional Order Complex Systems: Advanced Control, Intelligent Estimation and Reinforcement Learning Image Processing​ Algorithms, Second Edition
Guest Editors , , Driss Boutat and | Number of Papers: 17
 
22367
Fractional and Fractal Methods in Biomedical Imaging and Time Series Learning
Guest Editors , Chengjun Wang and | Number of Papers: 13
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