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 2021-09-01 to 2025-09-01.)

Article	Citations
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	458
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	188
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations	174
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	132
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables	121
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	118
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays	92
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation	90
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator	88
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	85
Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays	77
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	76
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models	73
On the Visibility of Homogeneous Cantor Sets	71
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	70
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue	69
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea	67
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator	67
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	67
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family	63
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	63
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach	62
Hermite-Hadamard Fractional Inequalities for Differentiable Functions	62
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	61
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction	59

Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	58
Impulsive Control of Variable Fractional-Order Multi-Agent Systems	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	56
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials	54
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface	53
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment	52
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo	52
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	51
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model	51
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression	50
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme	50
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data	48
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay	47
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions	47
An Operational Approach to Fractional Scale-Invariant Linear Systems	47
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration	46
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis	46
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y	46
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials	45
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals	44
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures	44
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions	44
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications	44