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
 
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
 
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
 
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
 
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
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
Some Insights into the Sierpiński Triangle Paradox
by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
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
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
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
Chance or Chaos? Fractal Geometry Aimed to Inspect the Nature of Bitcoin
by Esther Cabezas-Rivas, Felipe Sánchez-Coll and Isaac Tormo-Xaixo
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
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
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

Most Cited & Viewed Special Issues

Published: Last 36 months
Avg. Citations Special Issue
 
19.45
Advances in Fractional-Order Chaotic and Complex Systems
Guest Editors , and | Number of Papers: 11
 
11.73
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
Guest Editors and Mahdieh Sadat Sadabadi | Number of Papers: 11
 
11.1
Analysis and Modeling of Fractional-Order Dynamical Networks
Guest Editors Fei Wang and | Number of Papers: 10
 
9.13
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
8.69
Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems
Guest Editors , , Xin Wang and | Number of Papers: 13
 
7
Advances in Fractional Differential Operators and Their Applications, 2nd Edition
Guest Editors , and | Number of Papers: 11
 
6.85
Fractional Mathematical Modelling: Theory, Methods and Applications
Guest Editors Faranak Rabiei, and | Number of Papers: 13
 
6.58
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
Guest Editors , and | Number of Papers: 12
 
6.3
Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics, 2nd Edition
Guest Editor | Number of Papers: 10
 
5.4
Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives
Guest Editors Phumlani Dlamini and Simphiwe Simelane | Number of Papers: 15
Published: Last 36 months
Views Special Issue
 
52833
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
Guest Editors , Jizhen Zhang and | Number of Papers: 24
 
35298
Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems
Guest Editors , , Xin Wang and | Number of Papers: 13
 
34052
Fractional Systems, Integrals and Derivatives: Theory and Application
Guest Editors and | Number of Papers: 20
 
31930
Fractional Mathematical Modelling: Theory, Methods and Applications
Guest Editors Faranak Rabiei, and | Number of Papers: 13
 
31891
Analysis and Numerical Computations of Nonlinear Fractional and Classical Differential Equations
Guest Editors , , , and Ahmed Refaie Ali | Number of Papers: 22
 
31212
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
Guest Editors and Mahdieh Sadat Sadabadi | Number of Papers: 11
 
30394
Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives
Guest Editors Phumlani Dlamini and Simphiwe Simelane | Number of Papers: 15
 
26508
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
Guest Editors , and | Number of Papers: 12
 
24683
Analysis of Fractional Stochastic Differential Equations and Their Applications
Guest Editors Zhiguo Luo and Danfeng Luo | Number of Papers: 15
 
22586
Advances in Fractional Differential Operators and Their Applications, 2nd Edition
Guest Editors , and | Number of Papers: 11
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