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 2022-06-01 to 2026-06-01.)
ArticleCitations
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion218
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative174
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform159
Application of Fractional Calculus as an Interdisciplinary Modeling Framework119
Impulsive Control of Variable Fractional-Order Multi-Agent Systems100
An Operational Approach to Fractional Scale-Invariant Linear Systems97
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays93
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models80
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II79
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions78
Regularity Results for Hybrid Proportional Operators on Hölder Spaces78
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family76
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential74
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources73
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account69
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data68
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method67
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator66
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles66
On the Visibility of Homogeneous Cantor Sets64
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function61
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces61
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications60
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error60
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations59
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea59
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators58
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation57
Local Fractional Perspective on Weddle’s Inequality in Fractal Space56
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters55
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y54
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations53
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis51
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials51
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality51
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth51
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model51
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences49
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms49
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications47
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models46
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction44
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection44
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals44
Research on Target Energy Transfer and Energy Dissipation of Coupled Fractional-Order Inerter-Based Nonlinear Energy Sinks Vibration System42
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea42
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces42
The Filtering-Based Multi-Innovation Hierarchical Fractional Least Mean Square Algorithm for Parameter Estimation of Bilinear-in-Parameter Autoregressive System42
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions42
Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence40
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems39
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation39
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System39
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations39
Fractal Analysis of Thermally Induced Damage in Volcanic Rocks: Linking Mechanical Behavior and Mineralogical Controls38
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach38
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory38
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis38
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions37
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials37
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment37
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance37
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo36
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations36
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy36
Spectral Approach to Fractional Power of Operator and Its Matrix Approximation36
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time36
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables35
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales35
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation35
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background34
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator34
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration34
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures34
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration34
Hybrid Caputo-Type Fractional Parallel Schemes for Nonlinear Elliptic PDEs with Chaos- and Bifurcation-Based Acceleration34
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review34
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface33
A Space–Time Spectral Method for Nonlinear Fractional Convection–Diffusion Equations with Viscosity Terms33
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme33
Approximate Controllability of Higher-Order Hilfer Fractional Neutral Stochastic Systems Driven by Fractional Brownian Motion, Poisson Jumps, and Non-Instantaneous Impulses33
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications33
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions32
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression32
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions32
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems32
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease32
Exact Dynamics and Optimization for a Discrete-Time SIR Model Using Time-Dependent Parameters32
Power-Efficient Electronically Tunable Fractional-Order Filter31
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation31
Fractal Evolution of Mining-Induced Fractures in Thick and Hard Roofs Using Similar Simulation and Fractal Theory31
Predicting NMR T2 Cutoff in Deep Tight Sandstones via Multifractal Analysis of Fully Water-Saturated Spectra: A Non-Destructive Approach31
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator30
Pell and Pell–Lucas Sequences of Fractional Order30
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations30
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents30
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations30
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data30
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, Bohai30
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis30
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback29
Synchronizability of Multilayer Directed Dutch Windmill Networks29
Modeling Pandemic Dynamics via Fuzzy Fractional SEIQR Framework with ABC Derivatives: Qualitative Analysis and Computational Approaches29
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation29
Guaranteed Cost Data-Driven Feedback Control of Delta Discrete Fractional-Order Systems29
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum29
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras29
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion29
Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators29
Enhanced Control of DFIG-Based Wind Energy Systems Using Matrix Converters and Fractional-Order Regulators28
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale28
From Compaction to Porosity Reconstruction: Fractal Evolution and Heterogeneity of the Qingshankou Shale Reservoir in the Songliao Basin28
Iterative Learning Fault Diagnosis of Fractional-Order Nonlinear Multi-Agent Systems with Initial State Learning and Switching Topology28
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations27
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function27
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”27
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation27
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach27
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir27
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions27
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession27
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China27
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology27
Relationship of Multifractal and Entropic Properties of Global Seismic Noise with Major Earthquakes, 1997–202527
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process27
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed26
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform26
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices26
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains26
Global Dynamics of a Fractional-Order Anthrax Transmission Model with Distributed Delays and Beddington–DeAngelis Incidence25
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination25
Preliminaries on Mean Arterial Pressure Regulation Using Closed Loop Norepinephrine Infusion25
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion25
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System25
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model25
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent25
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting25
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions25
On the Characterization of Smarandache Curves of Fractional Order in Euclidean 3-Space25
Approximation by Quantum Meyer-König-Zeller Fractal Functions25
FAdamWav: A Fractional Wavelet Gradient Optimizer for Neural Networks25
Local Convergence of Traub’s Method and Its Extensions25
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations25
An Adsorption Model Considering Fictitious Stress25
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence24
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process24
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics24
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation24
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach24
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory24
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions24
Fractional Model of the Deformation Process24
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications24
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model24
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method24
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks24
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading24
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications24
Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control24
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices23
Some Properties of Fractal Tsallis Entropy23
Efficient Scheme for Solving Tempered Fractional Quantum Differential Problem23
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data23
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes23
Fractional Extension of Gould–Hopper–Bell Polynomials Related to Apostol-Type Polynomials and Their Properties23
Multifractal Analysis of 3D Correlated Nanoporous Networks23
Fractal Dimension of Fractal Functions on the Real Projective Plane23
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion23
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent23
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations23
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays23
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators23
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain23
Investigation and Application of Fractals in Civil Engineering Materials23
The Continued Fraction Structure in Physical Fractal Theory22
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions22
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks22
On Mixed Fractional Lifting Oscillation Spaces22
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative22
A Brief Survey of Paradigmatic Fractals from a Topological Perspective22
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform22
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response22
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment22
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion22
On the Physical Fractional Modulations on Langmuir Plasma Structures22
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations22
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series22
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil22
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension22
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations22
Enhanced Optimum PTFOIDN Speed Controller for Battery-Powered Brushless Direct Current Motor-Based Electromobility Applications22
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section22
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type22
Editorial for Special Issue “Fractal and Fractional in Geomaterials”22
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions21
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays21
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment21
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations21
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.21
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem21
Classification of Fractional-Order Chaos and Integer-Order Chaos Using a Multi-Branch Deep Learning Network Model21
On the Stability of Incommensurate Fractional-Order Reaction–Diffusion Systems: The Glycolyse Model21
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations21
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System21
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model21
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order21
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation21
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals21
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects21
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation21
Fractional Time-Varying Autoregressive Modeling: Parallel GAM and PINN Approaches to Dynamic Volatility Forecasting21
Modified and Improved TID Controller for Automatic Voltage Regulator Systems20
Explainable Multi-Objective Evacuation Optimization: A Fractional-Order EvoMapX Approach with Grünwald-Letnikov Memory and Fractal Landscape Analysis20
Proposal of a New Comprehensive Parameter to Characterize Directional Multi-Scale Morphological Complexity of Discontinuity in Rock Tunnel20
Stability of a Fractional HIV/AIDS Epidemic Model with Drug Control by Continuous-Time Random Walk20
Influence of Initial Stress on Wave Propagation in Microelongated Thermo-Elastic Media Under the Refined Fractional Dual Phase Lag Model20
Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network20
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function20
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis20
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications20
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete20
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation20
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization20
Abundant Non-Traveling Fractal Solutions of Dromion Type for the Extended Hirota–Satsuma–Ito Equation20
Quantifying Tissue Complexity via Fractal Analysis of Salivary Gland Ultrasound Images in Patients with Autoimmune Thyroid Disease20
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays20
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China20
A High-Performance Fractional Order Controller Based on Chaotic Manta-Ray Foraging and Artificial Ecosystem-Based Optimization Algorithms Applied to Dual Active Bridge Converter19
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning19
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary19
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions19
Tempered Fractional Deterministic Learning for Online Battery State-of-Health Estimation: A Cycle-Level Benchmark Study19
A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations19
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer19
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles19
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)19
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 Ch19
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications19
Emergent Complexity over Symbolic Simplicity: Inductive Bias and Structural Failure in GANs19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Generalized Criteria for Admissibility of Singular Fractional Order Systems19
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System19
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations19
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks19
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators19
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms19
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures19
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions19
Modeling Fractals in the Setting of Graphical Fuzzy Cone Metric Spaces18
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