Fractal and Fractional

Papers
(The median citation count of Fractal and Fractional is 3. 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.)
ArticleCitations
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative223
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform183
Application of Fractional Calculus as an Interdisciplinary Modeling Framework168
An Operational Approach to Fractional Scale-Invariant Linear Systems125
Regularity Results for Hybrid Proportional Operators on Hölder Spaces98
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II98
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions84
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential82
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources81
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account80
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data76
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method74
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles71
On the Visibility of Homogeneous Cantor Sets71
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function68
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces68
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications67
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error66
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea65
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators63
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation61
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters61
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations60
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model59
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis59
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality59
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models58
Research on Target Energy Transfer and Energy Dissipation of Coupled Fractional-Order Inerter-Based Nonlinear Energy Sinks Vibration System58
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals58
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences58
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces56
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea55
The Filtering-Based Multi-Innovation Hierarchical Fractional Least Mean Square Algorithm for Parameter Estimation of Bilinear-in-Parameter Autoregressive System53
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System53
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials52
Fractal Analysis of Thermally Induced Damage in Volcanic Rocks: Linking Mechanical Behavior and Mineralogical Controls52
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions49
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions46
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment46
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time44
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance44
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations44
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo44
Spectral Approach to Fractional Power of Operator and Its Matrix Approximation44
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background43
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables43
Hybrid Caputo-Type Fractional Parallel Schemes for Nonlinear Elliptic PDEs with Chaos- and Bifurcation-Based Acceleration43
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator43
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation43
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis42
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator42
Convex Contractions in Suprametric Spaces with Applications to Fractional Discrete Neural Networks42
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy42
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems41
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials41
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems40
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory40
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications40
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations40
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review40
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration39
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions39
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth39
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration39
Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence39
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction39
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family38
Implicit Fractional Differential Equation with Time-Varying State-Dependent Feedback38
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression38
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface37
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection37
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme37
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion37
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y36
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations36
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach36
An Efficient Inertial Picard-CR Method for Solving Fixed-Point Problems with Applications36
Almost Automorphic Solutions in Distribution for McKean–Vlasov SDEs Driven by Fractional Brownian Motion35
Local Fractional Perspective on Weddle’s Inequality in Fractal Space35
A Space–Time Spectral Method for Nonlinear Fractional Convection–Diffusion Equations with Viscosity Terms35
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures35
Exact Dynamics and Optimization for a Discrete-Time SIR Model Using Time-Dependent Parameters34
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications34
Numerical Investigation of Distributed-Order Cattaneo–Christov Model Based on Fractional Physics-Informed Neural Networks34
Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses33
Power-Efficient Electronically Tunable Fractional-Order Filter33
Fractional-Order Memory and Elite-Center-Guided Sine–Cosine Optimization for Feature Selection33
Impulsive Control of Variable Fractional-Order Multi-Agent Systems33
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease33
Pell and Pell–Lucas Sequences of Fractional Order32
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations32
Predicting NMR T2 Cutoff in Deep Tight Sandstones via Multifractal Analysis of Fully Water-Saturated Spectra: A Non-Destructive Approach32
Guaranteed Cost Data-Driven Feedback Control of Delta Discrete Fractional-Order Systems31
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations31
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum31
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents31
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation30
Enhanced Control of DFIG-Based Wind Energy Systems Using Matrix Converters and Fractional-Order Regulators30
Relationship of Multifractal and Entropic Properties of Global Seismic Noise with Major Earthquakes, 1997–202530
Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators30
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach30
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology30
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China30
From Compaction to Porosity Reconstruction: Fractal Evolution and Heterogeneity of the Qingshankou Shale Reservoir in the Songliao Basin30
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function30
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform29
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process29
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains29
Preliminaries on Mean Arterial Pressure Regulation Using Closed Loop Norepinephrine Infusion29
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations29
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”29
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir29
Local Convergence of Traub’s Method and Its Extensions29
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion29
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed29
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions29
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation29
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices29
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions29
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model28
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent28
Approximation by Quantum Meyer-König-Zeller Fractal Functions28
Global Dynamics of a Fractional-Order Anthrax Transmission Model with Distributed Delays and Beddington–DeAngelis Incidence28
On the Characterization of Smarandache Curves of Fractional Order in Euclidean 3-Space28
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation28
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions27
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process27
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model27
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method27
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks27
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras27
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations27
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence27
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data27
Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control27
Adaptive Dynamic Event-Triggered Formation Control of Multiple Hexarotor UAVs Under Atmospheric Boundary Layer Gusts26
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale26
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting26
Fractal Characteristics and Controlling Factors of Pore-Throat Structure in Tight Sandstone Reservoirs: A Case Study of the 2nd Member of the Kongdian Formation in the Nanpi Slope, Cangdong Sag, Bohai26
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading26
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics26
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications26
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications26
Iterative Learning Fault Diagnosis of Fractional-Order Nonlinear Multi-Agent Systems with Initial State Learning and Switching Topology26
An Adsorption Model Considering Fictitious Stress26
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator26
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory26
Fractal Evolution of Mining-Induced Fractures in Thick and Hard Roofs Using Similar Simulation and Fractal Theory25
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis25
FAdamWav: A Fractional Wavelet Gradient Optimizer for Neural Networks25
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession25
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System25
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation25
Synchronizability of Multilayer Directed Dutch Windmill Networks25
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback25
A Fixed Point Framework for Nonlinear Fractional Systems with Memory Effects25
Integrated Fractal and Curvature Analysis for Quantitative Assessment of Structural Complexity in the Yushupo Coal Mine, Ningwu Coalfield25
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination25
Modeling Pandemic Dynamics via Fuzzy Fractional SEIQR Framework with ABC Derivatives: Qualitative Analysis and Computational Approaches25
Solution Operators for Fractional-Order Coupled Systems Governed by Distributed-Order Equations25
Modified and Improved TID Controller for Automatic Voltage Regulator Systems24
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals24
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary24
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem24
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators24
Efficient Scheme for Solving Tempered Fractional Quantum Differential Problem24
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators24
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays24
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization24
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach24
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System24
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms24
Fractional Time-Varying Autoregressive Modeling: Parallel GAM and PINN Approaches to Dynamic Volatility Forecasting24
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis24
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations24
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions24
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions23
On Mixed Fractional Lifting Oscillation Spaces23
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations23
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series23
Generalized Criteria for Admissibility of Singular Fractional Order Systems23
Enhanced Optimum PTFOIDN Speed Controller for Battery-Powered Brushless Direct Current Motor-Based Electromobility Applications23
Some Properties of Fractal Tsallis Entropy23
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response23
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning23
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays23
On the Stability of Incommensurate Fractional-Order Reaction–Diffusion Systems: The Glycolyse Model23
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform23
Multifractal Analysis of 3D Correlated Nanoporous Networks23
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation22
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles22
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)22
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type22
The Continued Fraction Structure in Physical Fractal Theory22
Classification of Fractional-Order Chaos and Integer-Order Chaos Using a Multi-Branch Deep Learning Network Model22
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations22
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation22
Investigation and Application of Fractals in Civil Engineering Materials22
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil22
Editorial for Special Issue “Fractal and Fractional in Geomaterials”22
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent22
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order22
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System22
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions22
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations22
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions21
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks21
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations21
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications21
A Brief Survey of Paradigmatic Fractals from a Topological Perspective21
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes21
Distribution Characteristics and Fractal Dimension of Continental Shale Reservoir Spaces Based on Lithofacies Control: A Case Study of the Lucaogou Formation in Jimsar Sag, Junggar Basin, Northwest Ch21
Stability of a Fractional HIV/AIDS Epidemic Model with Drug Control by Continuous-Time Random Walk21
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion21
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative21
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion21
Emergent Complexity over Symbolic Simplicity: Inductive Bias and Structural Failure in GANs21
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks21
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications20
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function20
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures20
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment20
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model20
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation20
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations20
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks20
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects20
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China20
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays20
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation20
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices20
Quantifying Tissue Complexity via Fractal Analysis of Salivary Gland Ultrasound Images in Patients with Autoimmune Thyroid Disease20
Fractal Dimension of Fractal Functions on the Real Projective Plane20
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension20
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain20
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer20
Influence of Initial Stress on Wave Propagation in Microelongated Thermo-Elastic Media Under the Refined Fractional Dual Phase Lag Model20
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete20
Proposal of a New Comprehensive Parameter to Characterize Directional Multi-Scale Morphological Complexity of Discontinuity in Rock Tunnel20
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data20
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation20
New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities19
Quasi-Consensus of Fractional-Order Multi-Agent Systems with Mixed Delays and External Disturbance via Impulsive Pinning Control19
Dynamics for a Nonlinear Stochastic Cholera Epidemic Model under Lévy Noise19
Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations19
Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy19
Fractional Extension of Gould–Hopper–Bell Polynomials Related to Apostol-Type Polynomials and Their Properties19
Existence of Solutions for Coupled System of Sequential Liouville–Caputo-Type Fractional Integrodifferential Equations19
Convergence Analysis of Iterative Learning Control for Initialized Fractional Order Systems19
Discussion on Weighted Fractional Fourier Transform and Its Extended Definitions19
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