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 2021-12-01 to 2025-12-01.)
ArticleCitations
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality198
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection179
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays134
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models124
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis116
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II102
Regularity Results for Hybrid Proportional Operators on Hölder Spaces96
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions90
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family83
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator83
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach82
Hermite-Hadamard Fractional Inequalities for Differentiable Functions75
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
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources72
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations72
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme70
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration68
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
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions66
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures65
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions64
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data62
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
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations57
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems56
On the Visibility of Homogeneous Cantor Sets55
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory55
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator55
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces54
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model54
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression53
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function53
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications52
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error49
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea49
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo48
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations48
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables48
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction48
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea47
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators46
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials45
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales45
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations45
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation44
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators44
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications43
Local Fractional Perspective on Weddle’s Inequality in Fractal Space42
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms42
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation42
Application of Fractional Calculus as an Interdisciplinary Modeling Framework42
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance41
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background41
Impulsive Control of Variable Fractional-Order Multi-Agent Systems40
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis40
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System40
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations39
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces39
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth39
An Operational Approach to Fractional Scale-Invariant Linear Systems38
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel38
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface38
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions38
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications38
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment38
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete38
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation37
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters37
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y37
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals37
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach36
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions36
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models35
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials35
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials35
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform35
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy34
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review34
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative34
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment33
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory33
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration33
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model33
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems33
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis33
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion33
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading32
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination32
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control32
Synchronizability of Multilayer Directed Dutch Windmill Networks32
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations32
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion32
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management31
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle31
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method30
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations30
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data30
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry30
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence30
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model30
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir29
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”29
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process29
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics29
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession29
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions29
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale29
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation29
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function29
Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations29
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback29
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation29
A Generalization of Multifractional Brownian Motion28
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China28
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras28
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform28
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains28
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed28
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks28
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease28
Pell and Pell–Lucas Sequences of Fractional Order28
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, Bohai28
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
Local Convergence of Traub’s Method and Its Extensions27
Power-Efficient Electronically Tunable Fractional-Order Filter27
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations26
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions26
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation26
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations26
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations26
Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law26
Dynamic Analysis of a Fractional-Order Economic Model: Chaos and Control26
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion26
Fractional Model of the Deformation Process26
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications26
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation25
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System25
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach25
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications25
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions25
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents25
Approximation by Quantum Meyer-König-Zeller Fractal Functions25
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach25
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations25
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions25
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process24
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method24
Finite Time Stability of Fractional Order Systems of Neutral Type24
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting24
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers24
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology24
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent24
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis24
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum24
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator24
An Adsorption Model Considering Fictitious Stress23
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation23
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion23
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators23
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations23
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach23
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations23
Investigation and Application of Fractals in Civil Engineering Materials23
Switched Fractional Order Multiagent Systems Containment Control with Event-Triggered Mechanism and Input Quantization23
Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials23
Modified and Improved TID Controller for Automatic Voltage Regulator Systems23
Some Properties of Fractal Tsallis Entropy23
Fractal Dimension of Fractal Functions on the Real Projective Plane22
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays22
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
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation22
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
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment22
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System22
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response22
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map22
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
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain21
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment21
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil21
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions21
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays21
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations21
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals21
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type21
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms21
Multifractal Analysis of 3D Correlated Nanoporous Networks21
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions21
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions21
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary21
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data21
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces21
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity21
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation21
The Continued Fraction Structure in Physical Fractal Theory21
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks21
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.20
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations20
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels20
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function20
A Brief Survey of Paradigmatic Fractals from a Topological Perspective20
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
Editorial for Special Issue “Fractal and Fractional in Geomaterials”20
On the Physical Fractional Modulations on Langmuir Plasma Structures20
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures20
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays20
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent20
On Mixed Fractional Lifting Oscillation Spaces20
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters20
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations20
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
Editorial for Special Issue “Fractal and Fractional in Cement-Based Materials”20
Efficient Scheme for Solving Tempered Fractional Quantum Differential Problem20
A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations19
The Investigation of Nonlinear Time-Fractional Models in Optical Fibers and the Impact Analysis of Fractional-Order Derivatives on Solitary Waves19
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Enhanced Optimum PTFOIDN Speed Controller for Battery-Powered Brushless Direct Current Motor-Based Electromobility Applications19
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization19
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks19
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects19
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative19
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order19
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem19
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation19
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis19
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators19
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion19
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks19
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning19
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China19
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System19
Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy19
The Sharp Bounds of Hankel Determinants for the Families of Three-Leaf-Type Analytic Functions19
Generalized Criteria for Admissibility of Singular Fractional Order Systems19
Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network19
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation19
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations19
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete19
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices19
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model19
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