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 2022-08-01 to 2026-08-01.)

Article	Citations
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative	223
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform	183
Application of Fractional Calculus as an Interdisciplinary Modeling Framework	168
An Operational Approach to Fractional Scale-Invariant Linear Systems	125
Regularity Results for Hybrid Proportional Operators on Hölder Spaces	98
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II	98
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions	84
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential	82
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources	81
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account	80
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data	76
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method	74
On the Visibility of Homogeneous Cantor Sets	71
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles	71
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces	68
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function	68
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications	67
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error	66
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea	65
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators	63
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters	61
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation	61
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations	60
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis	59
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality	59

Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model	59
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals	58
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences	58
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models	58
Research on Target Energy Transfer and Energy Dissipation of Coupled Fractional-Order Inerter-Based Nonlinear Energy Sinks Vibration System	58
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces	56
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea	55
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System	53
The Filtering-Based Multi-Innovation Hierarchical Fractional Least Mean Square Algorithm for Parameter Estimation of Bilinear-in-Parameter Autoregressive System	53
Fractal Analysis of Thermally Induced Damage in Volcanic Rocks: Linking Mechanical Behavior and Mineralogical Controls	52
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials	52
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions	49
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment	46
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions	46
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance	44
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations	44
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo	44
Spectral Approach to Fractional Power of Operator and Its Matrix Approximation	44
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time	44