OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 44. 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 2021-11-01 to 2025-11-01.)

Article	Citations
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	195
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	178
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background	127
Local Fractional Perspective on Weddle’s Inequality in Fractal Space	123
Application of Fractional Calculus as an Interdisciplinary Modeling Framework	109
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth	96
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete	95
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	90
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces	80
Impulsive Control of Variable Fractional-Order Multi-Agent Systems	79
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration	79
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions	75
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications	72
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue	72
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms	71
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System	69
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach	68
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations	68
Hermite-Hadamard Fractional Inequalities for Differentiable Functions	65
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	65
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials	65
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator	63
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives	63
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	60
An Operational Approach to Fractional Scale-Invariant Linear Systems	58

The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	57
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	56
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis	55
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables	54
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	53
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error	53
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	53
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	52
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance	52
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems	51
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo	50
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay	48
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea	48
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel	48
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	48
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model	48
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions	46
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	46
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals	45
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations	44
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration	44
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles	44