OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 42. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	455
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	170
Fractal Evolution Characteristics of Pore Structure in Coal-Acidified Stimulation	147
Fractional Calculus of Piecewise Continuous Functions	134
Analytical Techniques for Studying Fractional-Order Jaulent–Miodek System Within Algebraic Context	126
Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting	122
Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay	100
Finite-Time Stability Analysis for Delayed Fuzzy Hadamard Fractional-Order Systems	89
New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems	80
Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods	77
Analysis of Multifractal Characteristics and Detrended Cross-Correlation of Conventional Logging Data Regarding Igneous Rocks	76
The Early Diagnosis of Rolling Bearings’ Faults Using Fractional Fourier Transform Information Fusion and a Lightweight Neural Network	72
Optimal Frequency Control of Multi-Area Hybrid Power System Using New Cascaded TID-PIλDμN Controller Incorporating Electric Vehicles	69
Jafari Transformation for Solving a System of Ordinary Differential Equations with Medical Application	66
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform	66
Analytical Solution of Coupled Hirota–Satsuma and KdV Equations	64
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete	64
Sensitivity of Fractional-Order Recurrent Neural Network with Encoded Physics-Informed Battery Knowledge	63
Deflection of Beams Modeled by Fractional Differential Equations	63
Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications	63
A Deep Learning BiLSTM Encoding-Decoding Model for COVID-19 Pandemic Spread Forecasting	61
Local Stability, Global Stability, and Simulations in a Fractional Discrete Glycolysis Reaction–Diffusion Model	61
On a Novel Dynamics of a SIVR Model Using a Laplace Adomian Decomposition Based on a Vaccination Strategy	59
Local Fractional Homotopy Perturbation Method for Solving Coupled Sine-Gordon Equations in Fractal Domain	58
Numerical Study of Caputo Fractional-Order Differential Equations by Developing New Operational Matrices of Vieta–Lucas Polynomials	56

A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	52
Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative	52
In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives	50
Fractional-Order Modeling and Control of HBCS-MG in Off-Grid State	49
A Comparative Study of COVID-19 Dynamics in Major Turkish Cities Using Fractional Advection–Diffusion–Reaction Equations	49
Generalized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functions	48
Driver Training Based Optimized Fractional Order PI-PDF Controller for Frequency Stabilization of Diverse Hybrid Power System	48
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion	48
Power Quality Conditioners-Based Fractional-Order PID Controllers Using Hybrid Jellyfish Search and Particle Swarm Algorithm for Power Quality Enhancement	47
Multifractal Detrended Cross-Correlations between Green Bonds and Commodity Markets: An Exploration of the Complex Connections between Green Finance and Commodities from the Econophysics Perspective	47
Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2	46
The Sensitive Visualization and Generalized Fractional Solitons’ Construction for Regularized Long-Wave Governing Model	46
Solutions of General Fractional-Order Differential Equations by Using the Spectral Tau Method	46
An Approximate Analytical View of Fractional Physical Models in the Frame of the Caputo Operator	45
The Hidden Dimension of Façades: Fractal Analysis Reveals Composition Rules in Classical and Renaissance Architecture	44
A Bearing Fault Diagnosis Method under Small Sample Conditions Based on the Fractional Order Siamese Deep Residual Shrinkage Network	43
Dynamical Behaviour, Control, and Boundedness of a Fractional-Order Chaotic System	43
Variable-Step Multiscale Katz Fractal Dimension: A New Nonlinear Dynamic Metric for Ship-Radiated Noise Analysis	42