OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 45. 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 2022-01-01 to 2026-01-01.)

Article	Citations
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	199
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	140
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	126
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	106
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis	96
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	94
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	84
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	84
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator	83
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	75
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach	74
Hermite-Hadamard Fractional Inequalities for Differentiable Functions	73
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives	73
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	72
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations	71
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	69
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme	68
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account	67
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time	67
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions	65
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures	65
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions	62
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	60
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data	60
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles	58

Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations	57
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator	57
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems	57
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory	56
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	55
On the Visibility of Homogeneous Cantor Sets	55
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression	54
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	53
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	53
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea	50
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction	49
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables	49
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations	49
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error	49
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators	48
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea	48
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales	48
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials	46
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	46
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations	46
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation	45
Application of Fractional Calculus as an Interdisciplinary Modeling Framework	45
Local Fractional Perspective on Weddle’s Inequality in Fractal Space	45
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	45