Fractal and Fractional

Papers
(The H4-Index of Fractal and Fractional is 43. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures456
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth172
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality153
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection137
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications128
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models123
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations103
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error90
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential86
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables78
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources77
An Operational Approach to Fractional Scale-Invariant Linear Systems74
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales72
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea71
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms69
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation68
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays68
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator67
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions66
Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays65
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y65
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models61
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators61
On the Visibility of Homogeneous Cantor Sets60
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II56
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue54
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces53
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives52
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea51
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory51
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator51
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation51
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family49
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy48
Hermite-Hadamard Fractional Inequalities for Differentiable Functions48
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System47
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function47
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation47
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach47
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction46
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme45
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance43
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis43
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations43
0.10873103141785