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 2022-01-01 to 2026-01-01.)
ArticleCitations
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality199
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection140
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays126
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models106
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis96
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II94
Regularity Results for Hybrid Proportional Operators on Hölder Spaces84
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions84
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator83
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family75
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach74
Hermite-Hadamard Fractional Inequalities for Differentiable Functions73
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives73
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential72
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations71
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources69
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme68
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account67
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time67
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures65
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions65
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions62
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data60
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method60
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles58
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator57
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems57
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations57
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory56
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces55
On the Visibility of Homogeneous Cantor Sets55
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression54
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications53
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function53
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea50
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables49
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations49
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error49
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction49
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales48
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators48
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea48
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators46
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations46
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials46
Local Fractional Perspective on Weddle’s Inequality in Fractal Space45
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation45
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation45
Application of Fractional Calculus as an Interdisciplinary Modeling Framework45
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms43
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems42
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform42
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative42
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis42
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials42
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations40
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth40
Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence40
Impulsive Control of Variable Fractional-Order Multi-Agent Systems40
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background40
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters39
An Operational Approach to Fractional Scale-Invariant Linear Systems39
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications39
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo38
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface38
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete38
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance38
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System38
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y38
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions37
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models36
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model36
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment36
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis35
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications35
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy35
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review35
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration35
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach35
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion35
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions34
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration34
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials33
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces33
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment33
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals33
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation33
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations32
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data32
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion32
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion32
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations32
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination32
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”31
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process31
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions31
Synchronizability of Multilayer Directed Dutch Windmill Networks31
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation31
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease30
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics30
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform30
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation30
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale30
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China29
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession29
Power-Efficient Electronically Tunable Fractional-Order Filter29
A Generalization of Multifractional Brownian Motion29
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed29
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, Bohai29
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains29
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks29
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices29
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir28
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence28
Preliminaries on Mean Arterial Pressure Regulation Using Closed Loop Norepinephrine Infusion28
Local Convergence of Traub’s Method and Its Extensions28
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model28
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method28
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations28
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function28
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management28
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading27
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model27
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions27
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control27
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions27
Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control27
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations27
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach26
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System26
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology26
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations26
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process26
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents26
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis26
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations25
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications25
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle25
From Compaction to Porosity Reconstruction: Fractal Evolution and Heterogeneity of the Qingshankou Shale Reservoir in the Songliao Basin25
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent25
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory25
Approximation by Quantum Meyer-König-Zeller Fractal Functions25
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation25
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback25
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting25
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator25
Fractional Model of the Deformation Process25
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry25
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method25
Switched Fractional Order Multiagent Systems Containment Control with Event-Triggered Mechanism and Input Quantization24
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation24
An Adsorption Model Considering Fictitious Stress24
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions24
Pell and Pell–Lucas Sequences of Fractional Order24
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications24
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach24
Finite Time Stability of Fractional Order Systems of Neutral Type24
Modeling Pandemic Dynamics via Fuzzy Fractional SEIQR Framework with ABC Derivatives: Qualitative Analysis and Computational Approaches24
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum23
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation23
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations23
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers23
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach23
Some Properties of Fractal Tsallis Entropy23
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map23
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras23
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations23
Investigation and Application of Fractals in Civil Engineering Materials23
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators23
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment22
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain22
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions22
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension22
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System22
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity22
Multifractal Analysis of 3D Correlated Nanoporous Networks22
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)22
A High-Performance Fractional Order Controller Based on Chaotic Manta-Ray Foraging and Artificial Ecosystem-Based Optimization Algorithms Applied to Dual Active Bridge Converter22
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays22
Fractal Dimension of Fractal Functions on the Real Projective Plane22
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces22
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type22
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform22
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series22
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation22
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response22
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions21
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary21
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms21
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters21
The Continued Fraction Structure in Physical Fractal Theory21
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data21
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation21
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays21
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels21
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil21
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions21
Editorial for Special Issue “Fractal and Fractional in Geomaterials”21
On the Physical Fractional Modulations on Langmuir Plasma Structures21
Efficient Scheme for Solving Tempered Fractional Quantum Differential Problem20
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations20
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations20
Classification of Fractional-Order Chaos and Integer-Order Chaos Using a Multi-Branch Deep Learning Network Model20
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment20
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.20
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications20
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section20
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function20
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 Ch20
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative20
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays20
Editorial for Special Issue “Fractal and Fractional in Cement-Based Materials”20
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent20
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System20
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks20
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures20
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators20
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations20
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation20
A Brief Survey of Paradigmatic Fractals from a Topological Perspective20
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation19
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices19
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations19
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion19
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications19
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer19
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model19
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion19
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects19
A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks19
Modified and Improved TID Controller for Automatic Voltage Regulator Systems19
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization19
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals19
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles19
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete19
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order19
Fractional Time-Varying Autoregressive Modeling: Parallel GAM and PINN Approaches to Dynamic Volatility Forecasting19
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China19
Enhanced Optimum PTFOIDN Speed Controller for Battery-Powered Brushless Direct Current Motor-Based Electromobility Applications19
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis19
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions19
On the Stability of Incommensurate Fractional-Order Reaction–Diffusion Systems: The Glycolyse Model19
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes19
Generalized Criteria for Admissibility of Singular Fractional Order Systems19
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning19
On Mixed Fractional Lifting Oscillation Spaces19
Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration18
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