OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 39. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Magnetically Suspended Control Sensitive Gyroscope Rotor High-Precision Deflection Decoupling Method using Quantum Neural Network and Fractional-Order Terminal Sliding Mode Control	447
Minimal Wave Speed for a Nonlocal Viral Infection Dynamical Model	163
Initial Value Problems of Fuzzy Fractional Coupled Partial Differential Equations with Caputo gH-Type Derivatives	123
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms	122
A Novel Analytical Approach for the Solution of Fractional-Order Diffusion-Wave Equations	122
Fractional View Study of the Brusselator Reaction–Diffusion Model Occurring in Chemical Reactions	111
A Second-Order Adaptive Grid Method for a Singularly Perturbed Volterra Integrodifferential Equation	91
Existence Result for Coupled Random First-Order Impulsive Differential Equations with Infinite Delay	89
Analysis of Pore Characterization and Energy Evolution of Granite by Microwave Radiation	72
Analysis of a High-Accuracy Numerical Method for Time-Fractional Integro-Differential Equations	72
Fast Encryption Algorithm Based on Chaotic System and Cyclic Shift in Integer Wavelet Domain	66
Relationships between Reference Evapotranspiration and Meteorological Variables in the Middle Zone of the Guadalquivir River Valley Explained by Multifractal Detrended Cross-Correlation Analysis	65
Estimation of Fractal Dimension and Segmentation of Brain Tumor with Parallel Features Aggregation Network	62
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables	59
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	57
Sensitivity of Fractional-Order Recurrent Neural Network with Encoded Physics-Informed Battery Knowledge	56
On the Analysis of a Neutral Fractional Differential System with Impulses and Delays	56
Fractal Characteristics of Geopolymer Mortar Containing Municipal Solid Waste Incineration Fly Ash and Its Correlations to Pore Structure and Strength	53
Pore Microstructure and Multifractal Characterization of Lacustrine Oil-Prone Shale Using High-Resolution SEM: A Case Sample from Natural Qingshankou Shale	53
Multi-Scale Research on the Mechanisms of Soil Arching Development and Degradation in Granular Materials with Different Relative Density	52
On Certain Inequalities for Several Kinds of Strongly Convex Functions for q-h-Integrals	51
Numerical Investigation of the Fractional Diffusion Wave Equation with the Mittag–Leffler Function	50
Anomalous Thermally Induced Deformation in Kelvin–Voigt Plate with Ultrafast Double-Strip Surface Heating	49
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	48
β–Ulam–Hyers Stability and Existence of Solutions for Non-Instantaneous Impulsive Fractional Integral Equations	48

Scale-Free Functional Brain Networks Exhibit Increased Connectivity, Are More Integrated and Less Segregated in Patients with Parkinson’s Disease following Dopaminergic Treatment	47
Finite-Time Stability Analysis for Delayed Fuzzy Hadamard Fractional-Order Systems	46
Study on Interfacial Crack Initiation of Jointed Rock Mass Based on Interface Fracture Mechanics	46
Convergence Analysis of a New Implicit Iterative Scheme and Its Application to Delay Caputo Fractional Differential Equations	45
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	43
New Adaptive Finite-Time Cluster Synchronization of Neutral-Type Complex-Valued Coupled Neural Networks with Mixed Time Delays	42
An Operational Approach to Fractional Scale-Invariant Linear Systems	42
Mixed Neutral Caputo Fractional Stochastic Evolution Equations with Infinite Delay: Existence, Uniqueness and Averaging Principle	41
Information Properties of Consecutive Systems Using Fractional Generalized Cumulative Residual Entropy	41
Image Compression Using Fractal Functions	41
Real-Time Synchronisation of Multiple Fractional-Order Chaotic Systems: An Application Study in Secure Communication	41
Robust Trajectory Tracking Control for Serial Robotic Manipulators Using Fractional Order-Based PTID Controller	39
Design, Modeling, and Implementation of Dual Notched UWB Bandpass Filter Employing Rectangular Stubs and Embedded L-Shaped Structure	39
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	39