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 2022-06-01 to 2026-06-01.)

Article	Citations
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	218
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative	174
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform	159
Application of Fractional Calculus as an Interdisciplinary Modeling Framework	119
Impulsive Control of Variable Fractional-Order Multi-Agent Systems	100
An Operational Approach to Fractional Scale-Invariant Linear Systems	97
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	93
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	80
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	79
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	78
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	78
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	76
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	74
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	73
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account	69
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data	68
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	67
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles	66
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator	66
On the Visibility of Homogeneous Cantor Sets	64
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	61
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	61
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	60
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error	60
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations	59

The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea	59
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	58
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	57
Local Fractional Perspective on Weddle’s Inequality in Fractal Space	56
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	55
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y	54
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations	53
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis	51
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	51
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	51
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth	51
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model	51
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences	49
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms	49
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications	47
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	46
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals	44
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction	44
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	44