OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 43. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	214
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	165
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	156
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	118
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	99
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	97
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	91
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	79
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account	78
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data	77
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures	77
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	74
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles	74
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator	72
On the Visibility of Homogeneous Cantor Sets	69
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	67
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	66
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	66
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error	65
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations	62
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea	61
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials	60
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	59
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	58
Local Fractional Perspective on Weddle’s Inequality in Fractal Space	58

A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface	58
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis	57
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems	56
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach	55
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	54
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme	53
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background	53
Application of Fractional Calculus as an Interdisciplinary Modeling Framework	51
Impulsive Control of Variable Fractional-Order Multi-Agent Systems	51
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	51
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative	50
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform	49
An Operational Approach to Fractional Scale-Invariant Linear Systems	48
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	47
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences	46
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations	45
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions	44
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems	43