You seem to have javascript disabled. Please note that many of the page functionalities won't work as expected without javascript enabled.

Search for Articles:

Title / Keyword

Author / Affiliation / Email

Journal

Article Type

Advanced Search

Section

Special Issue

Volume

Issue

Number

Page

$fractalfract-logo$

Submit to Fractal Fract Review for Fractal Fract

Journal Menu

Journal Browser

► Journal Browser

Most Cited & Viewed

Most Cited & Viewed Papers

Most Cited Papers
Most Viewed Papers
Most Downloaded Papers

Citations	Article
175	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
114	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
112	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
85	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
83	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
74	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
72	Influence of Groundwater Depth on Pile–Soil Mechanical Properties and Fractal Characteristics under Cyclic Loading by Bingxiang Yuan, Zhijie Li, Weijie Chen, Jin Zhao, Jianbing Lv, Jie Song and Xudong Cao
65	Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis by Lei Wang, Xiao Lu, Lisheng Liu, Jie Xiao, Ge Zhang, Fanxing Guo and Li Li
62	Influence of Different Alkali Sulfates on the Shrinkage, Hydration, Pore Structure, Fractal Dimension and Microstructure of Low-Heat Portland Cement, Medium-Heat Portland Cement and Ordinary Portland Cement by Yang Li, Hui Zhang, Minghui Huang, Haibo Yin, Ke Jiang, Kaitao Xiao and Shengwen Tang
61	*Fractional Order Modeling the Gemini Virus in Capsicum annuum* with Optimal Control by Kottakkaran Sooppy Nisar, Kumararaju Logeswari, Veliappan Vijayaraj, Haci Mehmet Baskonus and Chokkalingam Ravichandran**

Citations	Article
83	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
74	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
59	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
55	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
49	Influences of MgO and PVA Fiber on the Abrasion and Cracking Resistance, Pore Structure and Fractal Features of Hydraulic Concrete by Lei Wang, Xiaoman Zeng, Yang Li, Huamei Yang and Shengwen Tang
48	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
48	Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete by Lei Wang, Yajun Huang, Feng Zhao, Tingting Huo, E Chen and Shengwen Tang
44	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
43	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
42	The Influence of Fly Ash Dosages on the Permeability, Pore Structure and Fractal Features of Face Slab Concrete by Lei Wang, Shihua Zhou, Yan Shi, Yajun Huang, Feng Zhao, Tingting Huo and Shengwen Tang

Citations	Article
74	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
59	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
48	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
43	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
36	A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation by Xiaoxuan Jiang, Jiawei Wang, Wan Wang and Haixiang Zhang
16	Dilatancy Equation Based on the Property-Dependent Plastic Potential Theory for Geomaterials by Xuefeng Li, Houying Zhu and Qi Yuan
14	Investigating the Effects of a Fractional Operator on the Evolution of the ENSO Model: Bifurcations, Stability and Numerical Analysis by Yuqi Zhang, Peiluan Li, Changjin Xu, Xueqing Peng and Rui Qiao
13	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
12	Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation by Waleed Mohamed Abd-Elhameed, Youssri Hassan Youssri, Amr Kamel Amin and Ahmed Gamal Atta
11	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

Citations	Article
9	Solitary Waves Propagation Analysis in Nonlinear Dynamical System of Fractional Coupled Boussinesq-Whitham-Broer-Kaup Equation by M. Mossa Al-Sawalha, Safyan Mukhtar, Rasool Shah, Abdul Hamid Ganie and Khaled Moaddy
9	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
8	Variable-Step Multiscale Katz Fractal Dimension: A New Nonlinear Dynamic Metric for Ship-Radiated Noise Analysis by Yuxing Li, Yuhan Zhou and Shangbin Jiao
7	Extension of the Optimal Auxiliary Function Method to Solve the System of a Fractional-Order Whitham–Broer–Kaup Equation by Zainab Alsheekhhussain, Khaled Moaddy, Rasool Shah, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-Sawalha and Aisha Abdullah Alderremy
5	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
4	Multivariate Multiscale Higuchi Fractal Dimension and Its Application to Mechanical Signals by Yuxing Li, Shuai Zhang, Lili Liang and Qiyu Ding
4	Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics by Muath Awadalla, Jihan Alahmadi, Kumama Regassa Cheneke and Sania Qureshi
3	Fractal-Based Pattern Quantification of Mineral Grains: A Case Study of Yichun Rare-Metal Granite by Yue Liu, Tao Sun, Kaixing Wu, Hongwei Zhang, Jingwei Zhang, Xinwen Jiang, Quanwei Lin and Mei Feng
3	New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain by Mohammad Faisal Khan and Mohammed AbaOud
3	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban

Citations	Article
175	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
114	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
112	Homotopy Perturbation Method for the Fractal Toda Oscillator by Ji-Huan He, Yusry O. El-Dib and Amal A. Mady
110	Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate by Mehmet Yavuz and Ndolane Sene
93	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
87	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
85	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
83	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
74	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
72	Influence of Groundwater Depth on Pile–Soil Mechanical Properties and Fractal Characteristics under Cyclic Loading by Bingxiang Yuan, Zhijie Li, Weijie Chen, Jin Zhao, Jianbing Lv, Jie Song and Xudong Cao

More Articles...

Views	Article
12314	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
7822	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
6671	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
6579	Modeling the Chemical Pollution of the Area by the Random-Addition Method by Roman Ekhlakov, Ekaterina Romanova, Elena Dogadina, Sergey Korchagin, Sergey Gataullin, Józef Mosiej, Timur Gataullin and Petr Nikitin
6308	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
5138	*Examining the Position of Wright’s Fallingwater* in the Context of His Larger Body of Work: An Analysis Using Fractal Dimensions by Josephine Vaughan and Michael J. Ostwald**
4973	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
4888	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
4611	Fractal Analysis on Surface Topography of Thin Films: A Review by Wenmeng Zhou, Yating Cao, Haolin Zhao, Zhiwei Li, Pingfa Feng and Feng Feng
4443	Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses by Ahmed Salem and Kholoud N. Alharbi

Views	Article
12314	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
7822	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
4973	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
4443	Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses by Ahmed Salem and Kholoud N. Alharbi
4193	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee
3767	A Fractional Chemotaxis Navier–Stokes System with Matrix-Valued Sensitivities and Attractive–Repulsive Signals by Chao Jiang, Zuhan Liu and Yuzhu Lei
3558	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
3437	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
3129	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
3113	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

Views	Article
3558	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
2940	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
2762	*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
2397	A Novel Method of Blockchain Cryptocurrency Price Prediction Using Fractional Grey Model by Yunfei Yang, Jiamei Xiong, Lei Zhao, Xiaomei Wang, Lianlian Hua and Lifeng Wu
2307	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
2306	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
2283	Phase Synchronization and Dynamic Behavior of a Novel Small Heterogeneous Coupled Network by Mengjiao Wang, Jiwei Peng, Shaobo He, Xinan Zhang and Herbert Ho-Ching Iu
2064	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
2006	O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices by Shobhit K. Patel and Abdullah Baz
1998	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

Views	Article
3558	Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems by Anthony Torres-Hernandez, Fernando Brambila-Paz and Rafael Ramirez-Melendez
2762	*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
2006	O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices by Shobhit K. Patel and Abdullah Baz
1957	Chance or Chaos? Fractal Geometry Aimed to Inspect the Nature of Bitcoin by Esther Cabezas-Rivas, Felipe Sánchez-Coll and Isaac Tormo-Xaixo
1690	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
1646	Properties and Applications of Symmetric Quantum Calculus by Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir and Ahmed M. Zidan
1613	Mandelbrot Set as a Particular Julia Set of Fractional Order, Equipotential Lines and External Rays of Mandelbrot and Julia Sets of Fractional Order by Marius-F. Danca
1545	Navigating Choppy Waters: Interplay between Financial Stress and Commodity Market Indices by Haji Ahmed, Faheem Aslam and Paulo Ferreira
1542	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
1483	Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative by Md Ashik Iqbal, Abdul Hamid Ganie, Md Mamun Miah and Mohamed S. Osman

Views	Article
12314	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
12131	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
11842	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
8356	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir
7822	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
7716	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
7060	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
7006	A Fractional Complex Permittivity Model of Media with Dielectric Relaxation by Armando Ciancio and Bruno Felice Filippo Flora
6671	Fractals: An Eclectic Survey, Part-I by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
6579	Modeling the Chemical Pollution of the Area by the Random-Addition Method by Roman Ekhlakov, Ekaterina Romanova, Elena Dogadina, Sergey Korchagin, Sergey Gataullin, Józef Mosiej, Timur Gataullin and Petr Nikitin

More Articles...

Downloads	Article
4485	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
1635	The Solutions of Some Riemann–Liouville Fractional Integral Equations by Karuna Kaewnimit, Fongchan Wannalookkhee, Kamsing Nonlaopon and Somsak Orankitjaroen
1627	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
1552	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
1501	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
1455	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
1397	Iterated Functions Systems Composed of Generalized θ-Contractions by Pasupathi Rajan, María A. Navascués and Arya Kumar Bedabrata Chand
1394	Influence of Groundwater Depth on Pile–Soil Mechanical Properties and Fractal Characteristics under Cyclic Loading by Bingxiang Yuan, Zhijie Li, Weijie Chen, Jin Zhao, Jianbing Lv, Jie Song and Xudong Cao
1366	Fractal Calculus on Fractal Interpolation Functions by Arulprakash Gowrisankar, Alireza Khalili Golmankhaneh and Cristina Serpa
1352	Jafari Transformation for Solving a System of Ordinary Differential Equations with Medical Application by Ahmed I. El-Mesady, Yasser S. Hamed and Abdullah M. Alsharif

Downloads	Article
4485	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
1552	Fractals: An Eclectic Survey, Part II by Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary and Mohammad Sajid
1501	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
1455	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
1215	A Review on Fractional-Order Modelling and Control of Robotic Manipulators by Kishore Bingi, B Rajanarayan Prusty and Abhaya Pal Singh
1126	Forecasting the Volatility of the Stock Index with Deep Learning Using Asymmetric Hurst Exponents by Poongjin Cho and Minhyuk Lee
1116	A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2) by Jing Yang, Xiaorong Hou and Yajun Li
1022	Mechanical Behaviors and Acoustic Emission Fractal Characteristics of Bump-Prone Coal under Different Loading Rates by Bin Liu, Xiang Sun, Chunwei Ling, Zujun Huang and Hongwei Zhang
921	CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System by Wafaa S. Sayed, Merna Roshdy, Lobna A. Said, Norbert Herencsar and Ahmed G. Radwan
897	Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network by Fei Yu, Qiulin Yu, Huifeng Chen, Xinxin Kong, Abdulmajeed Abdullah Mohammed Mokbel, Shuo Cai and Sichun Du

Downloads	Article
646	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
627	Multicorn Sets of ${\bar{z}}^{k} + c^{m}$ via S-Iteration with h-Convexity by Asifa Tassaddiq, Muhammad Tanveer, Khuram Israr, Muhammad Arshad, Khurrem Shehzad and Rekha Srivastava
623	Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis by Min-Jae Lee and Sun-Yong Choi
564	An Overview of Mathematical Modelling in Cancer Research: Fractional Calculus as Modelling Tool by Lourenço Côrte Vieira, Rafael S. Costa and Duarte Valério
535	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
493	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
456	The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation by Huda Alsaud and Hassan Eltayeb
431	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
430	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
426	Probabilistic Machine Learning Methods for Fractional Brownian Motion Time Series Forecasting by Lyudmyla Kirichenko and Roman Lavrynenko

Downloads	Article
456	The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation by Huda Alsaud and Hassan Eltayeb
431	Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension by Oleksandr Tomchuk
385	Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications by Albert Sabban
377	A Low Power Analog Integrated Fractional Order Type-2 Fuzzy PID Controller by Vassilis Alimisis, Nikolaos P. Eleftheriou, Evangelos Georgakilas, Christos Dimas, Nikolaos Uzunoglu and Paul P. Sotiriadis
371	*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
353	A Quasilinearization Approach for Identification Control Vectors in Fractional-Order Nonlinear Systems by Miglena N. Koleva and Lubin G. Vulkov
349	Evolving Patterns in Irrational Numbers Using Waiting Times between Digits by Samuel Ogunjo and Holger Kantz
336	Review of the Fractional Black-Scholes Equations and Their Solution Techniques by Hongmei Zhang, Mengchen Zhang, Fawang Liu and Ming Shen
332	O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices by Shobhit K. Patel and Abdullah Baz
313	Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment by Ghaliah Alhamzi, Ravi Shanker Dubey, Badr Saad T. Alkahtani and G. L. Saini

Downloads	Article
5807	Towards a Generalized Beer-Lambert Law by Giampietro Casasanta and Roberto Garra
4604	Fractional Definite Integral by Manuel Ortigueira and José Machado
4485	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
3175	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
3135	Regularized Integral Representations of the Reciprocal Gamma Function by Dimiter Prodanov
2901	Generalized Memory: Fractional Calculus Approach by Vasily E. Tarasov
2764	Which Derivative? by Manuel Ortigueira and José Machado
2666	A Fractional B-spline Collocation Method for the Numerical Solution of Fractional Predator-Prey Models by Francesca Pitolli
2660	A Fractional-Order Infectivity and Recovery SIR Model by Christopher N. Angstmann, Bruce I. Henry and Anna V. McGann
2647	European Vanilla Option Pricing Model of Fractional Order without Singular Kernel by Mehmet Yavuz and Necati Özdemir

Most Cited & Viewed Special Issues

Most Cited Special Issues
Most Viewed Special Issues

Avg. Citations	Special Issue
17.62	Recent Advances in Computational Physics with Fractional Application Guest Editors Lanre Akinyemi , Mostafa M. A. Khater , Mehmet Senol and Hadi Rezazadeh \| Number of Papers: 29
17.4	Investigation and Application of Fractals in Civil Engineering Materials Guest Editors Shengwen Tang and Lei Wang \| Number of Papers: 15
13.76	New Challenges Arising in Engineering Problems with Fractional and Integer Order II Guest Editors Haci Mehmet Baskonus , Luis Manuel Sánchez Ruiz and Armando Ciancio \| Number of Papers: 17
11.86	Fractional Dynamical Systems: Applications and Theoretical Results Guest Editors Jehad Alzabut , Shahram Rezapour and George M. Selvam \| Number of Papers: 14
11.6	Advances in Optimization and Nonlinear Analysis Guest Editor Savin Treanţă \| Number of Papers: 15
11.46	Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus Guest Editor Viorel-Puiu Paun \| Number of Papers: 13
11.21	Importance of Fractional Order Derivatives in Real-World Applications: New Aspects and Understanding the Natural Phenomena Guest Editor Hijaz Ahmad \| Number of Papers: 14
11.17	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
11.12	Fractal and Fractional in Geomaterials Guest Editors Yifei Sun , Cheng Chen and Meisam Goudarzy \| Number of Papers: 17
10.89	Recent Advances in Fractional Differential Equations, Delay Differential Equations and Their Applications Guest Editor Omar Bazighifan \| Number of Papers: 18

More Special Issues...

Views	Special Issue
56654	Recent Advances in Computational Physics with Fractional Application Guest Editors Lanre Akinyemi , Mostafa M. A. Khater , Mehmet Senol and Hadi Rezazadeh \| Number of Papers: 29
42423	Applications of Fractional Operator in Image Processing and Stability of Control Systems Guest Editors Xuefeng Zhang , Driss Boutat and Dayan Liu \| Number of Papers: 25
37092	Numerical Solution and Applications of Fractional Differential Equations Guest Editors Libo Feng , Yang Liu and Lin Liu \| Number of Papers: 29
36173	Fractal and Fractional in Geomaterials Guest Editors Yifei Sun , Cheng Chen and Meisam Goudarzy \| Number of Papers: 17
32671	Advances in Optimization and Nonlinear Analysis Guest Editor Savin Treanţă \| Number of Papers: 15
32591	Recent Advances in Fractional Differential Equations, Delay Differential Equations and Their Applications Guest Editor Omar Bazighifan \| Number of Papers: 18
31642	Fractional Calculus Operators and the Mittag-Leffler Function Guest Editor Maja Andrić \| Number of Papers: 16
30044	New Challenges Arising in Engineering Problems with Fractional and Integer Order II Guest Editors Haci Mehmet Baskonus , Luis Manuel Sánchez Ruiz and Armando Ciancio \| Number of Papers: 17
29500	Importance of Fractional Order Derivatives in Real-World Applications: New Aspects and Understanding the Natural Phenomena Guest Editor Hijaz Ahmad \| Number of Papers: 14
28934	2021 Feature Papers by Fractal Fract's Editorial Board Members Guest Editor Carlo Cattani \| Number of Papers: 14

More Special Issues...

Back to TopTop