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 2021-09-01 to 2025-09-01.)
ArticleCitations
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications458
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models188
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations174
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential132
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables121
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources118
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays92
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation90
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator88
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions85
Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays77
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators76
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models73
On the Visibility of Homogeneous Cantor Sets71
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II70
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue69
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces67
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea67
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator67
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family63
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation63
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach62
Hermite-Hadamard Fractional Inequalities for Differentiable Functions62
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function61
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction59
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters58
Impulsive Control of Variable Fractional-Order Multi-Agent Systems56
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion56
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials54
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface53
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment52
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo52
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model51
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method51
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression50
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme50
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data48
An Operational Approach to Fractional Scale-Invariant Linear Systems47
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay47
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions47
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y46
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration46
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis46
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials45
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications44
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals44
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures44
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions44
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance43
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations42
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations41
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error40
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions40
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives40
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative39
Regularity Results for Hybrid Proportional Operators on Hölder Spaces39
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications39
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials38
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems38
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales37
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems37
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis37
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth37
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform36
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System36
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment36
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms36
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions35
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection35
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time35
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel34
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality34
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators34
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration33
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy33
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory33
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account33
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete33
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations33
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach33
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation32
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession32
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations32
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces32
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review32
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea32
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed31
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras31
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale31
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model31
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics31
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China31
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback30
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach30
Local Convergence of Traub’s Method and Its Extensions30
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading30
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains30
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting30
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations30
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
An Adsorption Model Considering Fictitious Stress29
Approximation by Quantum Meyer-König-Zeller Fractal Functions29
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model29
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation29
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent29
A Generalization of Multifractional Brownian Motion29
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks29
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation29
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System29
Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations29
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion28
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions28
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion28
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations28
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions28
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”28
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations28
Fractional Model of the Deformation Process28
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease28
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform27
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function27
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation27
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology27
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process27
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions27
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle26
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices26
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process26
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir26
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis26
Power-Efficient Electronically Tunable Fractional-Order Filter26
Heat and Mass Transfer Impact on Differential Type Nanofluid with Carbon Nanotubes: A Study of Fractional Order System26
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations26
Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method25
Synchronizability of Multilayer Directed Dutch Windmill Networks25
Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law25
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents25
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data25
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation25
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method25
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control25
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence25
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations25
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions25
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum25
Finite Time Stability of Fractional Order Systems of Neutral Type25
Pell and Pell–Lucas Sequences of Fractional Order25
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach24
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method24
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers24
Cesaro Limits for Fractional Dynamics24
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations24
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry24
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination24
Switched Fractional Order Multiagent Systems Containment Control with Event-Triggered Mechanism and Input Quantization24
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures23
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data23
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications23
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator23
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation23
Editorial for Special Issue “Fractal and Fractional in Geomaterials”23
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations23
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management23
Jacobi Spectral Collocation Technique for Time-Fractional Inverse Heat Equations23
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach23
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions23
Simple Graphical Prediction of Relative Permeability of Unsaturated Soils under Deformations23
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications23
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations23
Fractal Dimension of Fractal Functions on the Real Projective Plane22
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary22
Some Properties of Fractal Tsallis Entropy22
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks22
Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials22
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function22
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order22
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes22
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations22
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations22
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain22
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment22
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity22
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation22
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map22
Multifractal Analysis of 3D Correlated Nanoporous Networks22
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation21
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles21
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters21
On the Physical Fractional Modulations on Langmuir Plasma Structures21
Modified and Improved TID Controller for Automatic Voltage Regulator Systems21
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series21
On Mixed Fractional Lifting Oscillation Spaces21
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions21
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
A Brief Survey of Paradigmatic Fractals from a Topological Perspective20
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces20
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions20
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.20
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices20
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals20
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions20
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators20
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment20
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations20
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels20
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System20
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation20
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model20
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications20
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response20
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms20
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil19
The Systematic Risk at the Crisis—A Multifractal Non-Uniform Wavelet Systematic Risk Estimation19
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion19
Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions19
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators19
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects19
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks19
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions19
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation19
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent19
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China19
The Sharp Bounds of Hankel Determinants for the Families of Three-Leaf-Type Analytic Functions19
Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions19
Investigation and Application of Fractals in Civil Engineering Materials19
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer19
Generalized Criteria for Admissibility of Singular Fractional Order Systems19
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation19
The Continued Fraction Structure in Physical Fractal Theory19
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays19
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis19
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete19
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks19
Surface Cracking and Fractal Characteristics of Bending Fractured Polypropylene Fiber-Reinforced Geopolymer Mortar19
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization19
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform19
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type19
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem19
High-Order Numerical Approximation for 2D Time-Fractional Advection–Diffusion Equation under Caputo Derivative18
Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution18
Certain Analytic Solutions for Time-Fractional Models Arising in Plasma Physics via a New Approach Using the Natural Transform and the Residual Power Series Methods18
Existence of Solutions for the Initial Value Problem with Hadamard Fractional Derivatives in Locally Convex Spaces18
On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities18
A Look-Up Table Based Fractional Order Composite Controller Synthesis Method for the PMSM Speed Servo System18
Partially Explore the Differences and Similarities between Riemann-Liouville Integral and Mellin Transform18
Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration18
Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem18
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