Most Cited & Viewed

Most Cited & Viewed Papers

Citations Article
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
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
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
 
A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels
by Khalid Hattaf
 
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
 
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
 
The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time
by Farhana Tasnim, Md Ali Akbar and Mohamed S. Osman
 
Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique
by Humaira Yasmin, Noufe H. Aljahdaly, Abdulkafi Mohammed Saeed and Rasool Shah
 
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
 
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
Views Article
An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool
by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis
by Min-Jae Lee and Sun-Yong Choi
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
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
A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels
by Khalid Hattaf
A Brief Survey of Paradigmatic Fractals from a Topological Perspective
by Julián Patiño Ortiz, Miguel Patiño Ortiz, Miguel-Ángel Martínez-Cruz and Alexander S. Balankin
Downloads Article
Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension
by Oleksandr Tomchuk
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
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
Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis
by Min-Jae Lee and Sun-Yong Choi
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
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
An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool
by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
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

Most Cited & Viewed Special Issues

Published: Last 36 months
Avg. Citations Special Issue
 
14.91
Advances in Fractional-Order Chaotic and Complex Systems
Guest Editors , and | Number of Papers: 11
 
10.45
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
Guest Editors and Mahdieh Sadat Sadabadi | Number of Papers: 11
 
10
Fractional Order Controllers for Non-linear Systems
Guest Editors and | Number of Papers: 10
 
9.8
Analysis and Modeling of Fractional-Order Dynamical Networks
Guest Editors Fei Wang and | Number of Papers: 10
 
9.5
Metric Spaces with Its Application to Fractional Differential Equations
Guest Editors , Monica-Felicia Bota and | Number of Papers: 10
 
8.69
Applications of Fractal Analysis in Underground Engineering
Guest Editors , , , , Defu Zhu and Kaijun Miao | Number of Papers: 13
 
8.64
Fractional Integral Inequalities and Applications, 2nd Edition
Guest Editors and | Number of Papers: 14
 
8.29
Fractal and Fractional in Geotechnical Engineering
Guest Editors Shao-Heng He, Zhi Ding and | Number of Papers: 14
 
7.63
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
7.56
Advances in Fractional Integral and Derivative Operators with Applications
Guest Editor | Number of Papers: 16
Published: Last 36 months
Views Special Issue
 
48104
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
46038
Advances in Fractional Integral and Derivative Operators with Applications
Guest Editor | Number of Papers: 16
 
42641
Fractional Order Controllers for Non-linear Systems
Guest Editors and | Number of Papers: 10
 
37464
Symmetry and Solutions of Fractional Differential Equations with Their Developments
Guest Editors Lihong Zhang, , and | Number of Papers: 17
 
36384
Fractal and Fractional in Geotechnical Engineering
Guest Editors Shao-Heng He, Zhi Ding and | Number of Papers: 14
 
33502
Complexity, Fractality and Fractional Dynamics Applied to Science and Engineering
Guest Editors Alexandra M. S. F. Galhano, and | Number of Papers: 12
 
33077
Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems
Guest Editors , , Xin Wang and | Number of Papers: 13
 
31415
Applications of Fractional-Order Grey Models
Guest Editors Shuli Yan and | Number of Papers: 14
 
30842
Fractional Integral Inequalities and Applications, 2nd Edition
Guest Editors and | Number of Papers: 14
 
30794
Fractional Systems, Integrals and Derivatives: Theory and Application
Guest Editors and | Number of Papers: 20
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