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 2021-05-01 to 2025-05-01.)
ArticleCitations
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures456
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth172
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality153
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection137
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications128
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models123
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations103
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error90
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential86
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables78
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources77
An Operational Approach to Fractional Scale-Invariant Linear Systems74
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales72
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea71
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms69
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays68
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation68
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator67
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions66
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y65
Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays65
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators61
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models61
On the Visibility of Homogeneous Cantor Sets60
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II56
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue54
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces53
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives52
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea51
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory51
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator51
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation51
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family49
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy48
Hermite-Hadamard Fractional Inequalities for Differentiable Functions48
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System47
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function47
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation47
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach47
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction46
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme45
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis43
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations43
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance43
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators42
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion41
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters41
Impulsive Control of Variable Fractional-Order Multi-Agent Systems41
Regularity Results for Hybrid Proportional Operators on Hölder Spaces41
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo40
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems40
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment40
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model40
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications39
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions39
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method39
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials39
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel38
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative38
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach37
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression37
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications37
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account37
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data36
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces34
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions34
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review33
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions33
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals33
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface32
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis32
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations32
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials32
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform31
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete31
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration31
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems31
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment31
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations31
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay31
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials31
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations30
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession30
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model30
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control29
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions29
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle29
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination29
Heat and Mass Transfer Impact on Differential Type Nanofluid with Carbon Nanotubes: A Study of Fractional Order System29
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation29
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 Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices29
Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations28
Finite Time Stability of Fractional Order Systems of Neutral Type28
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications28
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations28
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers28
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System28
An Adsorption Model Considering Fictitious Stress28
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras27
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations27
Local Convergence of Traub’s Method and Its Extensions27
Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method27
Switched Fractional Order Multiagent Systems Containment Control with Event-Triggered Mechanism and Input Quantization27
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent27
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence27
Approximation by Quantum Meyer-König-Zeller Fractal Functions27
A Generalization of Multifractional Brownian Motion27
Power-Efficient Electronically Tunable Fractional-Order Filter27
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations27
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management26
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation26
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion26
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting26
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method26
Fractional Model of the Deformation Process25
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
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir25
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”25
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method25
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease25
Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications25
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function25
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions25
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion25
Synchronizability of Multilayer Directed Dutch Windmill Networks25
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions25
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis24
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations24
Cesaro Limits for Fractional Dynamics24
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology24
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model24
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform24
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale23
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator23
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations23
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process23
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process23
Numerical Study of Time-Fractional Schrödinger Model in One-Dimensional Space Arising in Mathematical Physics23
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback23
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation23
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading23
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation23
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry22
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum22
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations22
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data22
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach22
Jacobi Spectral Collocation Technique for Time-Fractional Inverse Heat Equations22
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels22
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications22
Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law22
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications22
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach21
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays21
Editorial for Special Issue “Fractal and Fractional in Cement-Based Materials”21
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces21
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain21
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays21
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System21
A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations21
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions21
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures21
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations21
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation21
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms21
The Systematic Risk at the Crisis—A Multifractal Non-Uniform Wavelet Systematic Risk Estimation21
Editorial for Special Issue “Fractal and Fractional in Geomaterials”21
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)21
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data21
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function21
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary21
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment21
Simple Graphical Prediction of Relative Permeability of Unsaturated Soils under Deformations21
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order20
Generalized Criteria for Admissibility of Singular Fractional Order Systems20
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation20
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation20
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment20
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes20
Modified and Improved TID Controller for Automatic Voltage Regulator Systems20
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks20
Fractal Dimension of Fractal Functions on the Real Projective Plane20
Some Properties of Fractal Tsallis Entropy20
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles20
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations20
Multifractal Analysis of 3D Correlated Nanoporous Networks20
Spline Collocation for Multi-Term Fractional Integro-Differential Equations with Weakly Singular Kernels19
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series19
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices19
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity19
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil19
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters19
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion19
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response19
Pore Structure and Its Fractal Dimension: A Case Study of the Marine Shales of the Niutitang Formation in Northwest Hunan, South China19
Correlating Morphology and Multifractal Spatial Patterns of the Leaf Surface Architecture of Anacardium occidentale L.19
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations19
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations19
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map19
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization19
Vibration Suppression of the Vehicle Mechatronic ISD Suspension Using the Fractional-Order Biquadratic Electrical Network19
The Regulation of Superconducting Magnetic Energy Storages with a Neural-Tuned Fractional Order PID Controller Based on Brain Emotional Learning19
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation19
Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials19
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section19
A Brief Survey of Paradigmatic Fractals from a Topological Perspective19
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks18
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions18
On the Physical Fractional Modulations on Langmuir Plasma Structures18
On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions18
Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions18
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete18
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type18
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform18
Analysis of Truncated M-Fractional Mathematical and Physical (2+1)-Dimensional Nonlinear Kadomtsev–Petviashvili-Modified Equal-Width Model18
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension18
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications18
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System18
The Sharp Bounds of Hankel Determinants for the Families of Three-Leaf-Type Analytic Functions18
Investigation and Application of Fractals in Civil Engineering Materials18
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent18
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions18
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects18
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation18
Surface Cracking and Fractal Characteristics of Bending Fractured Polypropylene Fiber-Reinforced Geopolymer Mortar18
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative18
On Mixed Fractional Lifting Oscillation Spaces18
Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions18
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks18
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals18
A Model-Free Fractional-Order Composite Control Strategy for High-Precision Positioning of Permanent Magnet Synchronous Motor17
Certain Analytic Solutions for Time-Fractional Models Arising in Plasma Physics via a New Approach Using the Natural Transform and the Residual Power Series Methods17
The Convolution Theorem Involving Windowed Free Metaplectic Transform17
Existence of Solutions for the Initial Value Problem with Hadamard Fractional Derivatives in Locally Convex Spaces17
Partially Explore the Differences and Similarities between Riemann-Liouville Integral and Mellin Transform17
A Novel Implementation of Mönch’s Fixed Point Theorem to a System of Nonlinear Hadamard Fractional Differential Equations17
Effect of Particle Size on Pore Structure and Fractal Characteristics of Deep Siliceous Shales in Southern Sichuan, China, Measured Using Small-Angle Neutron Scattering and Low-Pressure Nitrogen Adsor17
Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem17
A Look-Up Table Based Fractional Order Composite Controller Synthesis Method for the PMSM Speed Servo System17
High-Order Numerical Approximation for 2D Time-Fractional Advection–Diffusion Equation under Caputo Derivative17
Synchronization of Julia Sets in Three-Dimensional Discrete Financial Models17
Image Enhancement Model Based on Fractional Time-Delay and Diffusion Tensor17
Research on Nonlinear Dynamic Characteristics of Fractional Order Resonant DC-DC Converter Based on Sigmoid Function17
On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities17
Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration17
Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution17
Co-Dynamics of COVID-19 and Viral Hepatitis B Using a Mathematical Model of Non-Integer Order: Impact of Vaccination17
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