Fractal and Fractional

Papers
(The TQCC of Fractal and Fractional is 7. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality195
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection178
The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background127
Local Fractional Perspective on Weddle’s Inequality in Fractal Space123
Application of Fractional Calculus as an Interdisciplinary Modeling Framework109
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth96
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete95
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials90
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces80
Impulsive Control of Variable Fractional-Order Multi-Agent Systems79
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration79
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions75
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications72
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue72
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms71
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System69
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations68
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach68
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family65
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials65
Hermite-Hadamard Fractional Inequalities for Differentiable Functions65
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives63
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator63
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions60
An Operational Approach to Fractional Scale-Invariant Linear Systems58
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation57
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential56
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis55
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables54
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error53
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models53
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications53
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance52
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function52
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems51
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo50
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays48
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model48
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay48
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea48
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel48
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions46
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models46
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals45
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles44
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations44
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration44
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time43
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions42
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions42
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account42
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data42
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures41
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform40
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach40
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method40
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources40
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems39
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme39
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators38
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation38
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y38
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II38
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction38
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces37
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy37
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator37
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface37
On the Visibility of Homogeneous Cantor Sets36
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations36
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression36
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory36
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters35
Regularity Results for Hybrid Proportional Operators on Hölder Spaces35
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis34
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea33
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative33
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment33
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations33
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications33
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
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review33
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment33
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales32
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation32
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers32
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion32
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis32
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators32
Finite Time Stability of Fractional Order Systems of Neutral Type32
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations32
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials32
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent32
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation31
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications31
Synchronizability of Multilayer Directed Dutch Windmill Networks31
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management30
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum30
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting30
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method29
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control29
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function29
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle29
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions29
Approximation by Quantum Meyer-König-Zeller Fractal Functions29
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications29
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model29
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents29
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions29
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession28
Heat and Mass Transfer Impact on Differential Type Nanofluid with Carbon Nanotubes: A Study of Fractional Order System28
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir28
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations28
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations28
Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations28
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process27
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback27
Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law27
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation27
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions27
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model27
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”27
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology26
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics26
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations26
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method26
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation26
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale26
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading26
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks25
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data25
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform25
Pell and Pell–Lucas Sequences of Fractional Order25
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China25
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease25
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations25
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains25
A Generalization of Multifractional Brownian Motion25
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach25
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, Bohai24
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System24
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination24
Local Convergence of Traub’s Method and Its Extensions24
Power-Efficient Electronically Tunable Fractional-Order Filter24
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence24
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations24
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
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed24
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras24
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices24
Preliminaries on Mean Arterial Pressure Regulation Using Closed Loop Norepinephrine Infusion24
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis24
An Adsorption Model Considering Fictitious Stress23
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions23
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach23
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion23
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations23
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process23
Fractional Model of the Deformation Process23
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator23
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory23
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry23
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations22
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer22
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem22
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion22
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach22
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions22
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative22
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning22
New α-ɛ-Suzuki-Type Contraction Mapping Methods on Fractional Differential and Integral Equations22
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations22
Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials22
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China22
Modified and Improved TID Controller for Automatic Voltage Regulator Systems22
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation21
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment21
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations21
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects21
A High-Performance Fractional Order Controller Based on Chaotic Manta-Ray Foraging and Artificial Ecosystem-Based Optimization Algorithms Applied to Dual Active Bridge Converter21
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation21
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks21
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series21
Some Properties of Fractal Tsallis Entropy21
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)21
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions21
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays21
On Mixed Fractional Lifting Oscillation Spaces21
Investigation and Application of Fractals in Civil Engineering Materials21
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map21
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform21
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension21
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity20
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation20
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation20
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain20
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals20
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary20
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model20
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response20
Fractal Dimension of Fractal Functions on the Real Projective Plane20
Multifractal Analysis of 3D Correlated Nanoporous Networks20
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation20
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms20
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order20
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces20
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System20
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment20
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type20
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data20
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil20
Generalized Criteria for Admissibility of Singular Fractional Order Systems19
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions19
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis19
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions19
Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network19
Editorial for Special Issue “Fractal and Fractional in Geomaterials”19
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function19
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks19
Editorial for Special Issue “Fractal and Fractional in Cement-Based Materials”19
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays19
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation19
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles19
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations19
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.19
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System19
The Continued Fraction Structure in Physical Fractal Theory19
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions19
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators19
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks19
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section19
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations19
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays19
Application of Fractals to Evaluate Fractures of Rock Due to Mining18
Discussion on Weighted Fractional Fourier Transform and Its Extended Definitions18
A Look-Up Table Based Fractional Order Composite Controller Synthesis Method for the PMSM Speed Servo System18
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels18
Some Insights into the Sierpiński Triangle Paradox18
Strong Solution for Fractional Mean Field Games with Non-Separable Hamiltonians18
The Investigation of Nonlinear Time-Fractional Models in Optical Fibers and the Impact Analysis of Fractional-Order Derivatives on Solitary Waves18
Study on the Complex Dynamical Behavior of the Fractional-Order Hopfield Neural Network System and Its Implementation18
On the Physical Fractional Modulations on Langmuir Plasma Structures18
Existence and Uniqueness of Positive Solutions to Fractional Problems of Brézis–Oswald-Type with Unbalanced Growths and Hardy Potentials18
Influences of MgO and PVA Fiber on the Abrasion and Cracking Resistance, Pore Structure and Fractal Features of Hydraulic Concrete18
Comparing Market Efficiency in Developed, Emerging, and Frontier Equity Markets: A Multifractal Detrended Fluctuation Analysis18
Global Collective Dynamics of Financial Market Efficiency Using Attention Entropy with Hierarchical Clustering18
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures18
0.2277660369873