Fractal and Fractional

Papers
(The median citation count of Fractal and Fractional is 2. 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach447
Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions163
Fractal Analysis on Pore Structure and Hydration of Magnesium Oxysulfate Cements by First Principle, Thermodynamic and Microstructure-Based Methods120
Homotopy Perturbation Method for the Fractal Toda Oscillator111
Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory109
Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates106
Investigation and Application of Fractal Theory in Cement-Based Materials: A Review88
Fractal Analysis on Pore Structure and Modeling of Hydration of Magnesium Phosphate Cement Paste86
Influence of Groundwater Depth on Pile–Soil Mechanical Properties and Fractal Characteristics under Cyclic Loading72
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis66
Influence of Different Alkali Sulfates on the Shrinkage, Hydration, Pore Structure, Fractal Dimension and Microstructure of Low-Heat Portland Cement, Medium-Heat Portland Cement and Ordinary Portland 65
Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods64
Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control62
Effects of Fly Ash Dosage on Shrinkage, Crack Resistance and Fractal Characteristics of Face Slab Concrete59
Influences of MgO and PVA Fiber on the Abrasion and Cracking Resistance, Pore Structure and Fractal Features of Hydraulic Concrete57
Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method56
Modified Predictor–Corrector Method for the Numerical Solution of a Fractional-Order SIR Model with 2019-nCoV53
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete52
Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs51
An Efficient Stochastic Numerical Computing Framework for the Nonlinear Higher Order Singular Models50
Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration49
Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique48
Multistability and Phase Synchronization of Rulkov Neurons Coupled with a Locally Active Discrete Memristor47
Fractional Order Fuzzy Dispersion Entropy and Its Application in Bearing Fault Diagnosis45
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete45
The Influence of Fly Ash Dosages on the Permeability, Pore Structure and Fractal Features of Face Slab Concrete44
On the Existence and Stability of a Neutral Stochastic Fractional Differential System44
Surface Cracking and Fractal Characteristics of Bending Fractured Polypropylene Fiber-Reinforced Geopolymer Mortar44
Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation43
A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators42
Modified FOPID Controller for Frequency Regulation of a Hybrid Interconnected System of Conventional and Renewable Energy Sources41
Particle Swarm Optimization Fractional Slope Entropy: A New Time Series Complexity Indicator for Bearing Fault Diagnosis41
Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach39
Chaos Control for a Fractional-Order Jerk System via Time Delay Feedback Controller and Mixed Controller38
A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation38
Novel Computations of the Time-Fractional Fisher’s Model via Generalized Fractional Integral Operators by Means of the Elzaki Transform38
Multi-AUV Dynamic Maneuver Countermeasure Algorithm Based on Interval Information Game and Fractional-Order DE38
Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative38
The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time37
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers37
Optimal Design of TD-TI Controller for LFC Considering Renewables Penetration by an Improved Chaos Game Optimizer36
Results on Neutral Partial Integrodifferential Equations Using Monch-Krasnosel’Skii Fixed Point Theorem with Nonlocal Conditions36
Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings36
Application of Fractals to Evaluate Fractures of Rock Due to Mining35
Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption35
Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network35
Dynamical Behaviors of an SIR Epidemic Model with Discrete Time35
Spectral Collocation Approach via Normalized Shifted Jacobi Polynomials for the Nonlinear Lane-Emden Equation with Fractal-Fractional Derivative34
Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions34
Stability of a Nonlinear Langevin System of ML-Type Fractional Derivative Affected by Time-Varying Delays and Differential Feedback Control34
Approximate Analytical Methods for a Fractional-Order Nonlinear System of Jaulent–Miodek Equation with Energy-Dependent Schrödinger Potential33
Segmentation of Concrete Cracks by Using Fractal Dimension and UHK-Net33
Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative33
Orthonormal Ultraspherical Operational Matrix Algorithm for Fractal–Fractional Riccati Equation with Generalized Caputo Derivative31
Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function31
Dynamics of Fractional Model of Biological Pest Control in Tea Plants with Beddington–DeAngelis Functional Response31
H-U-Type Stability and Numerical Solutions for a Nonlinear Model of the Coupled Systems of Navier BVPs via the Generalized Differential Transform Method30
In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives30
A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels30
Fractal Analysis of Particle Distribution and Scale Effect in a Soil–Rock Mixture29
Image Enhancement Based on Rough Set and Fractional Order Differentiator29
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions29
On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability29
New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator29
Rational Approximations of Arbitrary Order: A Survey28
LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities28
Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators28
Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation28
Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings27
Study on the Complex Dynamical Behavior of the Fractional-Order Hopfield Neural Network System and Its Implementation27
Controllability for Fuzzy Fractional Evolution Equations in Credibility Space27
Some New Versions of Hermite–Hadamard Integral Inequalities in Fuzzy Fractional Calculus for Generalized Pre-Invex Functions via Fuzzy-Interval-Valued Settings26
The Sensitive Visualization and Generalized Fractional Solitons’ Construction for Regularized Long-Wave Governing Model26
A Fractional SAIDR Model in the Frame of Atangana–Baleanu Derivative26
Dynamical Analysis of a Novel Fractional-Order Chaotic System Based on Memcapacitor and Meminductor26
Proportional-Integral-Derivative Controller Based-Artificial Rabbits Algorithm for Load Frequency Control in Multi-Area Power Systems25
Impact of Non-Uniform Periodic Magnetic Field on Unsteady Natural Convection Flow of Nanofluids in Square Enclosure25
Fractal Analysis on Surface Topography of Thin Films: A Review25
Fractal Calculus on Fractal Interpolation Functions25
Characteristic Analysis and Circuit Implementation of a Novel Fractional-Order Memristor-Based Clamping Voltage Drift25
A New Intelligent Fractional-Order Load Frequency Control for Interconnected Modern Power Systems with Virtual Inertia Control25
Weighted Fractional Calculus: A General Class of Operators24
Driver Training Based Optimized Fractional Order PI-PDF Controller for Frequency Stabilization of Diverse Hybrid Power System24
Fractal–Fractional Michaelis–Menten Enzymatic Reaction Model via Different Kernels24
Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability24
Discretization, Bifurcation, and Control for a Class of Predator-Prey Interactions24
Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method24
Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method24
A Study of the Soliton Solutions with an Intrinsic Fractional Discrete Nonlinear Electrical Transmission Line24
Surface Cracking and Fractal Characteristics of Cement Paste after Exposure to High Temperatures24
A New Modeling of Fractional-Order and Sensitivity Analysis for Hepatitis-B Disease with Real Data24
Hidden and Coexisting Attractors in a Novel 4D Hyperchaotic System with No Equilibrium Point24
An Improved Marine Predators Algorithm-Tuned Fractional-Order PID Controller for Automatic Voltage Regulator System24
Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces24
Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach24
An Averaging Principle for Stochastic Fractional Differential Equations Driven by fBm Involving Impulses23
Variable Step Hybrid Block Method for the Approximation of Kepler Problem23
The Fractional Discrete Predator–Prey Model: Chaos, Control and Synchronization23
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator23
New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative23
Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel23
Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses23
New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions22
Analytical Study of Two Nonlinear Coupled Hybrid Systems Involving Generalized Hilfer Fractional Operators22
Modeling and Application of Fractional-Order Economic Growth Model with Time Delay22
Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators22
A Review on Fractional-Order Modelling and Control of Robotic Manipulators22
Power Law Kernel Analysis of MHD Maxwell Fluid with Ramped Boundary Conditions: Transport Phenomena Solutions Based on Special Functions22
State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter22
Effect of Chemical Composition of Fine Aggregate on the Frictional Behavior of Concrete–Soil Interface under Sulfuric Acid Environment22
A New Approach Using Integral Transform to Solve Cancer Models21
A New Incommensurate Fractional-Order Discrete COVID-19 Model with Vaccinated Individuals Compartment21
Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator21
Stability of Generalized Proportional Caputo Fractional Differential Equations by Lyapunov Functions21
A Numerical Study of the Fractional Order Dynamical Nonlinear Susceptible Infected and Quarantine Differential Model Using the Stochastic Numerical Approach21
Incorporating Rheological Nonlinearity into Fractional Calculus Descriptions of Fractal Matter and Multi-Scale Complex Fluids21
Local and Global Existence and Uniqueness of Solution for Time-Fractional Fuzzy Navier–Stokes Equations21
A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor21
A Numerical Solution of Generalized Caputo Fractional Initial Value Problems21
Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function21
Electrical Circuits RC, LC, and RLC under Generalized Type Non-Local Singular Fractional Operator20
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects20
Effect of Grain Size on Microscopic Pore Structure and Fractal Characteristics of Carbonate-Based Sand and Silicate-Based Sand20
Image Compression Using Fractal Functions20
Fractals: An Eclectic Survey, Part II20
Numerical Investigations of the Fractional-Order Mathematical Model Underlying Immune-Chemotherapeutic Treatment for Breast Cancer Using the Neural Networks20
Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation20
Fractal Characteristics of the Pore Structure of Coral Powder–Cement Slurry under Different Fractal Models20
Fractals: An Eclectic Survey, Part-I20
Generalized Mittag-Leffler Kernel Form Solutions of Free Convection Heat and Mass Transfer Flow of Maxwell Fluid with Newtonian Heating: Prabhakar Fractional Derivative Approach20
Existence, Uniqueness, and Eq–Ulam-Type Stability of Fuzzy Fractional Differential Equation20
Adaptive Fractional Image Enhancement Algorithm Based on Rough Set and Particle Swarm Optimization20
A Scaled Boundary Finite-Element Method with B-Differentiable Equations for 3D Frictional Contact Problems19
Some H-Godunova–Levin Function Inequalities Using Center Radius (Cr) Order Relation19
Novel Precise Solitary Wave Solutions of Two Time Fractional Nonlinear Evolution Models via the MSE Scheme19
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry19
A Deep Learning BiLSTM Encoding-Decoding Model for COVID-19 Pandemic Spread Forecasting19
3D Boundary Element Model for Ultrasonic Wave Propagation Fractional Order Boundary Value Problems of Functionally Graded Anisotropic Fiber-Reinforced Plates19
The Influence of Noise on the Exact Solutions of the Stochastic Fractional-Space Chiral Nonlinear Schrödinger Equation19
Population Forecast of China’s Rural Community Based on CFANGBM and Improved Aquila Optimizer Algorithm19
Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions19
An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation19
Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions19
The Propagating Exact Solitary Waves Formation of Generalized Calogero–Bogoyavlenskii–Schiff Equation with Robust Computational Approaches19
A Neuro-Evolution Heuristic Using Active-Set Techniques to Solve a Novel Nonlinear Singular Prediction Differential Model19
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations19
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control19
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel18
Existence and Uniqueness of Mild Solution Where α ∈ (1,2) for Fuzzy Fractional Evolution Equations with Uncertainty18
Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators18
An Insight into the Impacts of Memory, Selling Price and Displayed Stock on a Retailer’s Decision in an Inventory Management Problem18
Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain18
Zener Model with General Fractional Calculus: Thermodynamical Restrictions18
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method18
Solving Some Physics Problems Involving Fractional-Order Differential Equations with the Morgan-Voyce Polynomials18
Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach18
Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem18
Advancement of Non-Newtonian Fluid with Hybrid Nanoparticles in a Convective Channel and Prabhakar’s Fractional Derivative—Analytical Solution18
Existence Results for Coupled Nonlinear Sequential Fractional Differential Equations with Coupled Riemann–Stieltjes Integro-Multipoint Boundary Conditions18
Some Dynamical Models Involving Fractional-Order Derivatives with the Mittag-Leffler Type Kernels and Their Applications Based upon the Legendre Spectral Collocation Method18
Optimal PID Controllers for AVR Systems Using Hybrid Simulated Annealing and Gorilla Troops Optimization18
Numerical Solution of Nonlinear Fractional Diffusion Equation in Framework of the Yang–Abdel–Cattani Derivative Operator18
A New Perspective on the Exact Solutions of the Local Fractional Modified Benjamin–Bona–Mahony Equation on Cantor Sets18
On the General Solutions of Some Non-Homogeneous Div-Curl Systems with Riemann–Liouville and Caputo Fractional Derivatives18
On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis18
Novel Patterns in Fractional-in-Space Nonlinear Coupled FitzHugh–Nagumo Models with Riesz Fractional Derivative18
Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions17
The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain17
Scale-Free Fractal Interpolation17
Exact Fractional Solution by Nucci’s Reduction Approach and New Analytical Propagating Optical Soliton Structures in Fiber-Optics17
On a New Modification of the Erdélyi–Kober Fractional Derivative17
On Convexity, Monotonicity and Positivity Analysis for Discrete Fractional Operators Defined Using Exponential Kernels17
Hermite–Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions17
A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory17
Optimal Frequency Control of Multi-Area Hybrid Power System Using New Cascaded TID-PIλDμN Controller Incorporating Electric Vehicles17
Influence of Fin Length on Magneto-Combined Convection Heat Transfer Performance in a Lid-Driven Wavy Cavity16
Design and Experimental Results of an Adaptive Fractional-Order Controller for a Quadrotor16
Fractal-Fractional Caputo Maize Streak Virus Disease Model16
Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy16
Dilatancy Equation Based on the Property-Dependent Plastic Potential Theory for Geomaterials16
Fractional-Order Control Techniques for Renewable Energy and Energy-Storage-Integrated Power Systems: A Review16
Generalized Bessel Quasilinearization Technique Applied to Bratu and Lane–Emden-Type Equations of Arbitrary Order16
Fixed-Time Fractional-Order Global Sliding Mode Control for Nonholonomic Mobile Robot Systems under External Disturbances16
Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method16
Inflation and Fractional Quantum Cosmology16
Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions16
CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators16
RBF-Based Local Meshless Method for Fractional Diffusion Equations16
Bifurcation and Stability of Two-Dimensional Activator–Inhibitor Model with Fractional-Order Derivative16
Analytical Solutions of the Nonlinear Time-Fractional Coupled Boussinesq-Burger Equations Using Laplace Residual Power Series Technique15
Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration15
Gray Level Co-Occurrence Matrix, Fractal and Wavelet Analyses of Discrete Changes in Cell Nuclear Structure following Osmotic Stress: Focus on Machine Learning Methods15
Utilizing Fractals for Modeling and 3D Printing of Porous Structures15
Synchronization of Fractional-Order Delayed Neural Networks Using Dynamic-Free Adaptive Sliding Mode Control15
Cole-Impedance Model Representations of Right-Side Segmental Arm, Leg, and Full-Body Bioimpedances of Healthy Adults: Comparison of Fractional-Order15
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives15
Intelligent Measurement of Void Fractions in Homogeneous Regime of Two Phase Flows Independent of the Liquid Phase Density Changes15
Dynamic Analysis of a Novel 3D Chaotic System with Hidden and Coexisting Attractors: Offset Boosting, Synchronization, and Circuit Realization15
A Modified Leslie–Gower Model Incorporating Beddington–DeAngelis Functional Response, Double Allee Effect and Memory Effect15
Evolution Law of Shallow Water in Multi-Face Mining Based on Partition Characteristics of Catastrophe Theory15
Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains15
On the Physical Fractional Modulations on Langmuir Plasma Structures15
Nanoscale 3D Spatial Analysis of Zirconia Disc Surfaces Subjected to Different Laser Treatments15
Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function15
Fractal Characteristics of Geopolymer Mortar Containing Municipal Solid Waste Incineration Fly Ash and Its Correlations to Pore Structure and Strength15
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations15
Fractional-Order Financial System and Fixed-Time Synchronization15
Recent Advances and Applications of Spiral Dynamics Optimization Algorithm: A Review15
On Averaging Principle for Caputo–Hadamard Fractional Stochastic Differential Pantograph Equation15
On the Modeling of COVID-19 Transmission Dynamics with Two Strains: Insight through Caputo Fractional Derivative15
Existence of Mild Solutions for Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators15
On Weighted (k, s)-Riemann-Liouville Fractional Operators and Solution of Fractional Kinetic Equation15
Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions15
A Visually Secure Image Encryption Based on the Fractional Lorenz System and Compressive Sensing15
Analytical Solution of Coupled Hirota–Satsuma and KdV Equations15
Multiplicity of Solutions for Fractional-Order Differential Equations via the κ(x)-Laplacian Operator and the Genus Theory15
Numerical Solutions of Variable-Coefficient Fractional-in-Space KdV Equation with the Caputo Fractional Derivative15
A Multiscale Accuracy Degradation Prediction Method of Planetary Roller Screw Mechanism Based on Fractal Theory Considering Thread Surface Roughness14
Fractional-Order Interval Observer for Multiagent Nonlinear Systems14
Dynamics, Periodic Orbit Analysis, and Circuit Implementation of a New Chaotic System with Hidden Attractor14
Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function14
Identifying Partial Topological Structures of Stochastic Multi-Group Models with Multiple Dispersals via Graph-Theoretic Method14
Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel14
Novel Fractional Swarming with Key Term Separation for Input Nonlinear Control Autoregressive Systems14
Design and High-Order Precision Numerical Implementation of Fractional-Order PI Controller for PMSM Speed System Based on FPGA14
Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator14
Study on the Influence of Three Factors on Mass Loss and Surface Fractal Dimension of Concrete in Sulfuric Acid Environments14
Multi-Model Selection and Analysis for COVID-1914
A New Three-Step Root-Finding Numerical Method and Its Fractal Global Behavior14
Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone14
Research on Image Encryption Based on Fractional Seed Chaos Generator and Fractal Theory14
Investigating the Effects of a Fractional Operator on the Evolution of the ENSO Model: Bifurcations, Stability and Numerical Analysis14
Realization of Cole–Davidson Function-Based Impedance Models: Application on Plant Tissues14
Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application14
Fractional Transformation-Based Intelligent H-Infinity Controller of a Direct Current Servo Motor14
Fractional-Order Modelling and Optimal Control of Cholera Transmission14
Non-Dominated Sorting Manta Ray Foraging Optimization for Multi-Objective Optimal Power Flow with Wind/Solar/Small- Hydro Energy Sources14
Fractional-Order Control Strategy for Anesthesia–Hemodynamic Stabilization in Patients Undergoing Surgical Procedures14
Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators14
Using Fractal Calculus to Solve Fractal Navier–Stokes Equations, and Simulation of Laminar Static Mixing in COMSOL Multiphysics14
Fractional-Fractal Modeling of Filtration-Consolidation Processes in Saline Saturated Soils14
Local Fractional Integral Hölder-Type Inequalities and Some Related Results14
On the Existence and Stability of Variable Order Caputo Type Fractional Differential Equations14
Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects14
Applications of Fractional Operator in Image Processing and Stability of Control Systems14
Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications14
Variable-Step Multiscale Katz Fractal Dimension: A New Nonlinear Dynamic Metric for Ship-Radiated Noise Analysis14
Dynamics of Age-Structure Smoking Models with Government Intervention Coverage under Fractal-Fractional Order Derivatives14
Ulam–Hyers Stability and Uniqueness for Nonlinear Sequential Fractional Differential Equations Involving Integral Boundary Conditions14
On the Design of Power Law Filters and Their Inverse Counterparts14
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