Fractal and Fractional

Papers
(The TQCC of Fractal and Fractional is 8. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays214
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models165
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II156
Regularity Results for Hybrid Proportional Operators on Hölder Spaces118
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions99
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family97
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential91
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources79
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account78
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data77
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures77
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles74
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method74
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator72
On the Visibility of Homogeneous Cantor Sets69
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces67
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function66
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications66
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error65
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations62
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea61
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials60
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators59
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation58
Local Fractional Perspective on Weddle’s Inequality in Fractal Space58
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface58
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis57
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems56
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach55
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality54
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background53
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme53
Impulsive Control of Variable Fractional-Order Multi-Agent Systems51
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection51
Application of Fractional Calculus as an Interdisciplinary Modeling Framework51
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative50
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform49
An Operational Approach to Fractional Scale-Invariant Linear Systems48
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models47
Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences46
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations45
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions44
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems43
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review42
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations42
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials41
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System41
Fractal Analysis of Thermally Induced Damage in Volcanic Rocks: Linking Mechanical Behavior and Mineralogical Controls41
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms40
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory40
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales39
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications39
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions39
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations38
Spectral Approach to Fractional Power of Operator and Its Matrix Approximation38
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment37
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions37
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance37
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy36
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion36
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators36
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters36
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model36
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction36
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y36
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions35
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis35
Research on Target Energy Transfer and Energy Dissipation of Coupled Fractional-Order Inerter-Based Nonlinear Energy Sinks Vibration System35
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations34
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation34
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression34
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth34
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications33
The Filtering-Based Multi-Innovation Hierarchical Fractional Least Mean Square Algorithm for Parameter Estimation of Bilinear-in-Parameter Autoregressive System33
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator33
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces33
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials33
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea33
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo32
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals32
Hybrid Caputo-Type Fractional Parallel Schemes for Nonlinear Elliptic PDEs with Chaos- and Bifurcation-Based Acceleration32
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time32
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration32
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration31
Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence31
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables31
Global Dynamics of a Fractional-Order Anthrax Transmission Model with Distributed Delays and Beddington–DeAngelis Incidence31
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China31
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation31
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications30
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation30
Predicting NMR T2 Cutoff in Deep Tight Sandstones via Multifractal Analysis of Fully Water-Saturated Spectra: A Non-Destructive Approach30
Pell and Pell–Lucas Sequences of Fractional Order30
FAdamWav: A Fractional Wavelet Gradient Optimizer for Neural Networks30
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent30
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions29
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation29
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence29
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations29
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion29
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory29
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras29
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations29
Iterative Learning Fault Diagnosis of Fractional-Order Nonlinear Multi-Agent Systems with Initial State Learning and Switching Topology29
An Adsorption Model Considering Fictitious Stress29
Synchronizability of Multilayer Directed Dutch Windmill Networks29
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process28
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback28
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions28
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks28
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”28
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains27
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation27
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model27
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform27
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession27
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir27
Preliminaries on Mean Arterial Pressure Regulation Using Closed Loop Norepinephrine Infusion27
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices27
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed27
Local Convergence of Traub’s Method and Its Extensions27
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function27
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System26
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions26
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
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations26
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach25
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach25
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations25
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics25
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents25
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology25
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process25
From Compaction to Porosity Reconstruction: Fractal Evolution and Heterogeneity of the Qingshankou Shale Reservoir in the Songliao Basin25
Enhanced Control of DFIG-Based Wind Energy Systems Using Matrix Converters and Fractional-Order Regulators25
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting25
Fractional Model of the Deformation Process25
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications25
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading24
Power-Efficient Electronically Tunable Fractional-Order Filter24
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion24
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum24
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data24
Fractal Evolution of Mining-Induced Fractures in Thick and Hard Roofs Using Similar Simulation and Fractal Theory24
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease24
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method24
Guaranteed Cost Data-Driven Feedback Control of Delta Discrete Fractional-Order Systems24
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator24
Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators24
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation24
Modeling Pandemic Dynamics via Fuzzy Fractional SEIQR Framework with ABC Derivatives: Qualitative Analysis and Computational Approaches24
Finite Time Stability of Fractional Order Systems of Neutral Type23
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes23
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain23
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach23
Approximation by Quantum Meyer-König-Zeller Fractal Functions23
Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control23
Relationship of Multifractal and Entropic Properties of Global Seismic Noise with Major Earthquakes, 1997–202523
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
On the Characterization of Smarandache Curves of Fractional Order in Euclidean 3-Space23
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model23
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination23
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators23
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
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis23
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale23
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section22
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations22
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type22
Investigation and Application of Fractals in Civil Engineering Materials22
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
A Brief Survey of Paradigmatic Fractals from a Topological Perspective22
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative22
Multifractal Analysis of 3D Correlated Nanoporous Networks22
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment22
Fractional Extension of Gould–Hopper–Bell Polynomials Related to Apostol-Type Polynomials and Their Properties22
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform22
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent22
Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network22
Editorial for Special Issue “Fractal and Fractional in Geomaterials”22
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response22
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks22
Some Properties of Fractal Tsallis Entropy22
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations22
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices22
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series22
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays22
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
On the Physical Fractional Modulations on Langmuir Plasma Structures21
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
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals21
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations21
On Mixed Fractional Lifting Oscillation Spaces21
Enhanced Optimum PTFOIDN Speed Controller for Battery-Powered Brushless Direct Current Motor-Based Electromobility Applications21
On the Stability of Incommensurate Fractional-Order Reaction–Diffusion Systems: The Glycolyse Model21
Classification of Fractional-Order Chaos and Integer-Order Chaos Using a Multi-Branch Deep Learning Network Model21
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures21
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion21
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation21
Modified and Improved TID Controller for Automatic Voltage Regulator Systems21
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model20
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks20
The Sharp Bounds of Hankel Determinants for the Families of Three-Leaf-Type Analytic Functions20
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order20
Fractional Time-Varying Autoregressive Modeling: Parallel GAM and PINN Approaches to Dynamic Volatility Forecasting20
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms20
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System20
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System20
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications20
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations20
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.20
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology20
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations20
A High-Performance Fractional Order Controller Based on Chaotic Manta-Ray Foraging and Artificial Ecosystem-Based Optimization Algorithms Applied to Dual Active Bridge Converter20
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization20
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment20
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation20
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects20
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem20
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles20
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications19
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation19
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation19
A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations19
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function19
Emergent Complexity over Symbolic Simplicity: Inductive Bias and Structural Failure in GANs19
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
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators19
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer19
Stability of a Fractional HIV/AIDS Epidemic Model with Drug Control by Continuous-Time Random Walk19
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete19
Influence of Initial Stress on Wave Propagation in Microelongated Thermo-Elastic Media Under the Refined Fractional Dual Phase Lag Model19
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
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels19
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary19
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters19
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays19
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions19
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning19
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)19
The Effects of Thermal Memory on a Transient MHD Buoyancy-Driven Flow in a Rectangular Channel with Permeable Walls: A Free Convection Flow with a Fractional Thermal Flux18
Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations18
Quasi-Consensus of Fractional-Order Multi-Agent Systems with Mixed Delays and External Disturbance via Impulsive Pinning Control18
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