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Citations	Article
167	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
93	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
93	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
82	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
81	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
74	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
73	Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs by Wassim Alexan, Nader Alexan and Mohamed Gabr
69	Effects of Fly Ash Dosage on Shrinkage, Crack Resistance and Fractal Characteristics of Face Slab Concrete by Lei Wang, Zhiqiang Yu, Bo Liu, Feng Zhao, Shengwen Tang and Minmin Jin
69	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
64	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
167	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
93	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
81	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
64	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
60	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
51	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
48	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
46	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
41	A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation by Xiaoxuan Jiang, Jiawei Wang, Wan Wang and Haixiang Zhang
34	A Cotangent Fractional Derivative with the Application by Lakhlifa Sadek

Citations	Article
33	Fractals of Interpolative Kannan Mappings by Xiangting Shi, Umar Ishtiaq, Muhammad Din and Mohammad Akram
30	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
23	Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors by Fei Yu, Wuxiong Zhang, Xiaoli Xiao, Wei Yao, Shuo Cai, Jin Zhang, Chunhua Wang and Yi Li
21	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
16	Applications of Fractional-Order Calculus in Robotics by Abhaya Pal Singh and Kishore Bingi
14	Time-Varying Function Matrix Projection Synchronization of Caputo Fractional-Order Uncertain Memristive Neural Networks with Multiple Delays via Mixed Open Loop Feedback Control and Impulsive Control by Hongguang Fan, Yue Rao, Kaibo Shi and Hui Wen
14	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
13	A Dynamical Analysis and New Traveling Wave Solution of the Fractional Coupled Konopelchenko–Dubrovsky Model by Jin Wang and Zhao Li
13	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
12	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

Citations	Article
12	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
6	Theory on New Fractional Operators Using Normalization and Probability Tools by Marc Jornet
6	ADI Compact Difference Scheme for the Two-Dimensional Integro-Differential Equation with Two Fractional Riemann–Liouville Integral Kernels by Ziyi Chen, Haixiang Zhang and Hu Chen
6	Investigating a Nonlinear Fractional Evolution Control Model Using $W$ -Piecewise Hybrid Derivatives: An Application of a Breast Cancer Model by Hicham Saber, Mohammed A. Almalahi, Hussien Albala, Khaled Aldwoah, Amer Alsulami, Kamal Shah and Abdelkader Moumen
6	Operational Calculus of the Quantum Statistical Fermi–Dirac and Bose–Einstein Functions Leading to the Novel Fractional Kinetic Equations by Asifa Tassaddiq, Carlo Cattani, Rabab Alharbi, Ruhaila Md Kasmani and Sania Qureshi
5	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
5	Hyers–Ulam Stability of Fractal–Fractional Computer Virus Models with the Atangana–Baleanu Operator by Mohammed Althubyani and Sayed Saber
4	On the Fixed Point Theorem for Large Contraction Mappings with Applications to Delay Fractional Differential Equations by Mouataz Billah Mesmouli, Elvan Akın, Loredana Florentina Iambor, Osman Tunç and Taher S. Hassan
4	A New Fractional Boundary Element Model for Anomalous Thermal Stress Effects on Cement-Based Materials by Mohamed Abdelsabour Fahmy and Roqia Abdullah A. Jeli
4	Mechanical Response of Mudstone Based on Acoustic Emission Fractal Features by Xianyin Chang, Yunpei Liang and Qican Ran

Citations	Article
193	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
167	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
137	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
130	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
129	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
121	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
111	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
100	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
93	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
93	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

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26649	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
10307	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
8114	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
6857	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6782	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
6316	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
5508	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
5474	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee
4993	Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses by Ahmed Salem and Kholoud N. Alharbi
4867	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov

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8114	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
6857	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
6782	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
4993	Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses by Ahmed Salem and Kholoud N. Alharbi
4867	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov
4808	A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels by Khalid Hattaf
4453	Multi-Machine Power System Transient Stability Enhancement Utilizing a Fractional Order-Based Nonlinear Stabilizer by Arman Fathollahi and Björn Andresen
4406	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
4342	*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
4317	Cryptocurrency Price Prediction Using Frequency Decomposition and Deep Learning by Chuantai Jin and Yong Li

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3374	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
2544	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
2403	A Brief Review of Fractional Calculus as a Tool for Applications in Physics: Adsorption Phenomena and Electrical Impedance in Complex Fluids by Giovanni Barbero, Luiz. R. Evangelista, Rafael S. Zola, Ervin K. Lenzi and Antonio M. Scarfone
2375	Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets by Haider Ali, Muhammad Aftab, Faheem Aslam and Paulo Ferreira
2225	Fractional-Order Dynamics in Epidemic Disease Modeling with Advanced Perspectives of Fractional Calculus by Muhammad Riaz, Zareen A. Khan, Sadique Ahmad and Abdelhamied Ashraf Ateya
2206	Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel’d–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques by Md Nur Hossain, M. Mamun Miah, Moataz Alosaimi, Faisal Alsharif and Mohammad Kanan
2106	Applications of Fractional-Order Calculus in Robotics by Abhaya Pal Singh and Kishore Bingi
2097	Adaptive Morphing Activation Function for Neural Networks by Oscar Herrera-Alcántara and Salvador Arellano-Balderas
2093	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż
2058	Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment by Rehan Akram, Jin Seong Hong, Seung Gu Kim, Haseeb Sultan, Muhammad Usman, Hafiz Ali Hamza Gondal, Muhammad Hamza Tariq, Nadeem Ullah and Kang Ryoung Park

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3374	Some Insights into the Sierpiński Triangle Paradox by Miguel-Ángel Martínez-Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz and Alexander S. Balankin
2544	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
2093	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż
1984	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
1647	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
1537	Novel Fractional Order Differential and Integral Models for Wind Turbine Power–Velocity Characteristics by Ahmed G. Mahmoud, Mohamed A. El-Beltagy and Ahmed M. Zobaa
1394	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran
1388	Fractals as Pre-Training Datasets for Anomaly Detection and Localization by Cynthia I. Ugwu, Emanuele Caruso and Oswald Lanz
1295	Multifractal Methods in Characterizing Pore Structure Heterogeneity During Hydrous Pyrolysis of Lacustrine Shale by Xiaofei Liang, Qinhong Hu, Xiugang Pu, Wei Li, Qiming Wang, Mengdi Sun and Wenzhong Han
1282	Automatic Voltage Regulator Betterment Based on a New Fuzzy FOPI+FOPD Tuned by TLBO by Mokhtar Shouran and Mohammed Alenezi

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14448	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
13808	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
10587	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
10438	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
10414	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
10307	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
9224	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
8114	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
8069	Sets of Fractional Operators and Numerical Estimation of the Order of Convergence of a Family of Fractional Fixed-Point Methods by A. Torres-Hernandez and F. Brambila-Paz

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6337	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
4783	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4186	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
2948	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
2019	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
1853	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1806	Effects of Fly Ash Dosage on Shrinkage, Crack Resistance and Fractal Characteristics of Face Slab Concrete by Lei Wang, Zhiqiang Yu, Bo Liu, Feng Zhao, Shengwen Tang and Minmin Jin
1496	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
1470	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
1462	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee

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4783	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
1470	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
1318	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
1236	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
1236	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
1156	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
1144	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
1054	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
1004	Fractional-Order Control Techniques for Renewable Energy and Energy-Storage-Integrated Power Systems: A Review by Masoud Alilou, Hatef Azami, Arman Oshnoei, Behnam Mohammadi-Ivatloo and Remus Teodorescu
917	Approximation of Caputo Fractional Derivative and Numerical Solutions of Fractional Differential Equations by Yuri Dimitrov, Slavi Georgiev and Venelin Todorov

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729	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
663	Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors by Fei Yu, Wuxiong Zhang, Xiaoli Xiao, Wei Yao, Shuo Cai, Jin Zhang, Chunhua Wang and Yi Li
662	Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation by Shitan Ning, Peng Xia, Fang Hao, Jinqiang Tian, Yong Fu and Ke Wang
650	A Brief Review of Fractional Calculus as a Tool for Applications in Physics: Adsorption Phenomena and Electrical Impedance in Complex Fluids by Giovanni Barbero, Luiz. R. Evangelista, Rafael S. Zola, Ervin K. Lenzi and Antonio M. Scarfone
634	Robust Speed Control of Permanent Magnet Synchronous Motor Drive System Using Sliding-Mode Disturbance Observer-Based Variable-Gain Fractional-Order Super-Twisting Sliding-Mode Control by Ameen Ullah, Jianfei Pan, Safeer Ullah and Zhang Zhang
597	An Efficient Numerical Solution of a Multi-Dimensional Two-Term Fractional Order PDE via a Hybrid Methodology: The Caputo–Lucas–Fibonacci Approach with Strang Splitting by Imtiaz Ahmad, Abdulrahman Obaid Alshammari, Rashid Jan, Normy Norfiza Abdul Razak and Sahar Ahmed Idris
597	Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment by Rehan Akram, Jin Seong Hong, Seung Gu Kim, Haseeb Sultan, Muhammad Usman, Hafiz Ali Hamza Gondal, Muhammad Hamza Tariq, Nadeem Ullah and Kang Ryoung Park
584	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
580	Fractal Characteristics and Energy Evolution Analysis of Rocks under True Triaxial Unloading Conditions by Cheng Pan, Chongyan Liu, Guangming Zhao, Wei Yuan, Xiao Wang and Xiangrui Meng
580	Screen-Printed Metamaterial Absorber Using Fractal Metal Mesh for Optical Transparency and Flexibility by Jinwoo Choi, Daecheon Lim and Sungjoon Lim

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535	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
445	Fractal Dimensional Analysis of Building Facades: The Case of Office Buildings in Erbil City by Lana Abubakr Ali and Faris Ali Mustafa
436	Effect of Thermal Cracking on the Tensile Strength of Granite: Novel Insights into Numerical Simulation and Fractal Dimension by Jiliang Pan, Leiming Zhang, Yichen Ma, Ying Zhang and Xun Xi
422	Observer-Based Prescribed Performance Adaptive Neural Network Tracking Control for Fractional-Order Nonlinear Multiple-Input Multiple-Output Systems Under Asymmetric Full-State Constraints by Shuai Lu, Tao Yu and Changhui Wang
408	Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity by Minhyeok Lee and Soyeon Lee
394	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
383	Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab and Adarsh Sankaran
382	Soliton Solutions and Chaotic Dynamics of the Ion-Acoustic Plasma Governed by a (3+1)-Dimensional Generalized Korteweg–de Vries–Zakharov–Kuznetsov Equation by Amjad E. Hamza, Mohammed Nour A. Rabih, Amer Alsulami, Alaa Mustafa, Khaled Aldwoah and Hicham Saber
381	Modified and Improved TID Controller for Automatic Voltage Regulator Systems by Abdulsamed Tabak
375	Approaching Multifractal Complexity in Decentralized Cryptocurrency Trading by Marcin Wątorek, Marcin Królczyk, Jarosław Kwapień, Tomasz Stanisz and Stanisław Drożdż

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6337	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
6188	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
4805	Fractional Definite Integral by Manuel Ortigueira and José Machado
4783	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
4186	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
3730	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
3400	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
3251	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
3079	Which Derivative? by Manuel Ortigueira and José Machado
3004	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
25.09	Recent Advances in Fractional-Order Neural Networks: Theory and Application Guest Editors Zhouchao Wei and Lulu Lu \| Number of Papers: 11
18.33	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
16.33	Fractional Calculus in Signal, Imaging Processing and Machine Learning Guest Editor Yifei Pu \| Number of Papers: 12
14.08	Fractional Order Systems with Application to Electrical Power Engineering Guest Editors Arman Oshnoei and Behnam Mohammadi-Ivatloo \| Number of Papers: 12
11	Applications of Fractional-Order Calculus in Robotics Guest Editors Abhaya Pal Singh and Kishore Bingi \| Number of Papers: 11
8.75	Applications of Iterative Methods in Solving Nonlinear Equations Guest Editors Francisco I. Chicharro , Neus Garrido and Paula Triguero-Navarro \| Number of Papers: 12
8.53	Recent Advances in Fractional Differential Equations and Their Applications Guest Editors Xiaoli Chen and Dongfang Li \| Number of Papers: 17
7.43	Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics Guest Editor Yusuf Gürefe \| Number of Papers: 14
6.92	Fractional Calculus and Hypergeometric Functions in Complex Analysis Guest Editors Gheorghe Oros and Georgia Irina Oros \| Number of Papers: 13
6.36	*Feature Papers in Fractal and Fractional* 2022–2023** Guest Editor Ricardo Almeida \| Number of Papers: 11

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Views	Special Issue
51253	Recent Advances in Fractional-Order Neural Networks: Theory and Application Guest Editors Zhouchao Wei and Lulu Lu \| Number of Papers: 11
42625	Recent Advances in Fractional Differential Equations and Their Applications Guest Editors Xiaoli Chen and Dongfang Li \| Number of Papers: 17
38580	Advances in Fractional Differential Operators and Their Applications Guest Editors Angelo B. Mingarelli , Leila Gholizadeh Zivlaei and Mohammad Dehghan \| Number of Papers: 20
33387	Fractal Analysis and Its Applications in Geophysical Science Guest Editors Mei Yin , Mengxi Zhang and Yi Rui \| Number of Papers: 17
32566	Advances in Fractional Modeling and Computation Guest Editors Yuri Mitkov Dimitrov , Venelin Todorov , Slavi Georgiev and Jordan Hristov \| Number of Papers: 21
30926	Fractional Order Systems with Application to Electrical Power Engineering Guest Editors Arman Oshnoei and Behnam Mohammadi-Ivatloo \| Number of Papers: 12
30454	Advances in Fractional Integral and Derivative Operators with Applications Guest Editor Rekha Srivastava \| Number of Papers: 16
27936	Applications of Fractional-Order Calculus in Robotics Guest Editors Abhaya Pal Singh and Kishore Bingi \| Number of Papers: 11
27641	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
27182	Mathematical Inequalities in Fractional Calculus and Applications Guest Editors Seth Kermausuor and Eze Nwaeze \| Number of Papers: 16

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