OOIR: Observatory of International Research

Papers

(The H4-Index of Fractal and Fractional is 41. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	453
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	169
Fractal Evolution Characteristics of Pore Structure in Coal-Acidified Stimulation	137
Fractional Calculus of Piecewise Continuous Functions	125
Energy Evolution and Fractal Characteristics of Sandstones Under True Triaxial Cyclic Loading and Unloading	122
Analytical Techniques for Studying Fractional-Order Jaulent–Miodek System Within Algebraic Context	118
Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting	96
Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay	89
Finite-Time Stability Analysis for Delayed Fuzzy Hadamard Fractional-Order Systems	76
Generalized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functions	74
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	71
Multifractal Detrended Cross-Correlations between Green Bonds and Commodity Markets: An Exploration of the Complex Connections between Green Finance and Commodities from the Econophysics Perspective	70
The Hidden Dimension of Façades: Fractal Analysis Reveals Composition Rules in Classical and Renaissance Architecture	66
Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method	63
Reconstructing the Heat Transfer Coefficient in the Inverse Fractional Stefan Problem	63
Solutions of Initial Value Problems with Non-Singular, Caputo Type and Riemann-Liouville Type, Integro-Differential Operators	62
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms	62
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	59
Uniqueness of Solutions of the Generalized Abel Integral Equations in Banach Spaces	59
β–Ulam–Hyers Stability and Existence of Solutions for Non-Instantaneous Impulsive Fractional Integral Equations	58
Deterministic and Stochastic Analysis of Fractional-Order Legendre Filter with Uncertain Parameters	57
Existence and Stability of Solutions for p-Proportional ω-Weighted κ-Hilfer Fractional Differential Inclusions in the Presence of Non-Instantaneous Impulses in Banach Spaces	56
An Error Analysis Study for the Distributed-Order Time-Fraction Model Using an Efficient Numerical Method	55
Polynomial Decay of the Energy of Solutions of the Timoshenko System with Two Boundary Fractional Dissipations	54
Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2	52

A Novel Contact Resistance Model for the Spherical–Planar Joint Interface Based on Three Dimensional Fractal Theory	50
Difference Approximation for 2D Time-Fractional Integro-Differential Equation with Given Initial and Boundary Conditions	49
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	49
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection	48
Stationary Responses of Seven Classes of Fractional Vibrations Driven by Sinusoidal Force	48
Bitcoin, Fintech, Energy Consumption, and Environmental Pollution Nexus: Chaotic Dynamics with Threshold Effects in Tail Dependence, Contagion, and Causality	47
Error Bounds of a Finite Difference/Spectral Method for the Generalized Time Fractional Cable Equation	46
New Adaptive Finite-Time Cluster Synchronization of Neutral-Type Complex-Valued Coupled Neural Networks with Mixed Time Delays	46
Operator Kernel Functions in Operational Calculus and Applications in Fractals with Fractional Operators	44
Numerical Investigation of the Fractional Diffusion Wave Equation with the Mittag–Leffler Function	44
Gold and Sustainable Stocks in the US and EU: Nonlinear Analysis Based on Multifractal Detrended Cross-Correlation Analysis and Granger Causality	44
Scaled Conjugate Gradient for the Numerical Simulations of the Mathematical Model-Based Monkeypox Transmission	43
On Convexity, Monotonicity and Positivity Analysis for Discrete Fractional Operators Defined Using Exponential Kernels	43
Optimal Frequency Control of Multi-Area Hybrid Power System Using New Cascaded TID-PIλDμN Controller Incorporating Electric Vehicles	42
Mixed Neutral Caputo Fractional Stochastic Evolution Equations with Infinite Delay: Existence, Uniqueness and Averaging Principle	42
The Proof of a Conjecture Relating Catalan Numbers to an Averaged Mandelbrot-Möbius Iterated Function	41