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 2021-08-01 to 2025-08-01.)

Article	Citations
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	458
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	180
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	174
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations	129
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	126
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables	114
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	113
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales	91
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	85
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation	84
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator	83
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	77
Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays	75
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	72
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	71
On the Visibility of Homogeneous Cantor Sets	69
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	69
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue	67
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	66
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator	66
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea	63
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	62
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	61
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy	58
Hermite-Hadamard Fractional Inequalities for Differentiable Functions	58

New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	57
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach	57
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction	56
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	56
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	54
Impulsive Control of Variable Fractional-Order Multi-Agent Systems	52
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea	52
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface	50
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model	49
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	49
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo	49
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	49
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials	48
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications	47
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	47
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y	46
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals	45
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation	44
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration	44
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators	44
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions	44
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative	44