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 2020-03-01 to 2024-03-01.)
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 Approach435
Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions151
Fractal Analysis on Pore Structure and Hydration of Magnesium Oxysulfate Cements by First Principle, Thermodynamic and Microstructure-Based Methods110
Homotopy Perturbation Method for the Fractal Toda Oscillator100
Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate98
Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates78
Fractal Analysis on Pore Structure and Modeling of Hydration of Magnesium Phosphate Cement Paste78
Investigation and Application of Fractal Theory in Cement-Based Materials: A Review77
Influence of Groundwater Depth on Pile–Soil Mechanical Properties and Fractal Characteristics under Cyclic Loading68
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis62
Novel Complex Wave Solutions of the (2+1)-Dimensional Hyperbolic Nonlinear Schrödinger Equation57
Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control57
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 53
Effects of Fly Ash Dosage on Shrinkage, Crack Resistance and Fractal Characteristics of Face Slab Concrete51
Influences of MgO and PVA Fiber on the Abrasion and Cracking Resistance, Pore Structure and Fractal Features of Hydraulic Concrete49
Modified Predictor–Corrector Method for the Numerical Solution of a Fractional-Order SIR Model with 2019-nCoV48
Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods47
An Efficient Stochastic Numerical Computing Framework for the Nonlinear Higher Order Singular Models46
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete43
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete43
Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory42
The Influence of Fly Ash Dosages on the Permeability, Pore Structure and Fractal Features of Face Slab Concrete40
Numerical Simulation of the Fractal-Fractional Ebola Virus38
Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique38
A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators37
Fractional Order Fuzzy Dispersion Entropy and Its Application in Bearing Fault Diagnosis37
Particle Swarm Optimization Fractional Slope Entropy: A New Time Series Complexity Indicator for Bearing Fault Diagnosis37
Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method37
Fractal, Scale Free Electromagnetic Resonance of a Single Brain Extracted Microtubule Nanowire, a Single Tubulin Protein and a Single Neuron37
Novel Computations of the Time-Fractional Fisher’s Model via Generalized Fractional Integral Operators by Means of the Elzaki Transform36
Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation35
Surface Cracking and Fractal Characteristics of Bending Fractured Polypropylene Fiber-Reinforced Geopolymer Mortar35
Multistability and Phase Synchronization of Rulkov Neurons Coupled with a Locally Active Discrete Memristor35
Multi-AUV Dynamic Maneuver Countermeasure Algorithm Based on Interval Information Game and Fractional-Order DE33
On the Existence and Stability of a Neutral Stochastic Fractional Differential System32
A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation32
Multi-Strip and Multi-Point Boundary Conditions for Fractional Langevin Equation31
Application of Fractals to Evaluate Fractures of Rock Due to Mining31
Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function30
Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions30
Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration30
Results on Neutral Partial Integrodifferential Equations Using Monch-Krasnosel’Skii Fixed Point Theorem with Nonlocal Conditions30
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers29
Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative29
Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network29
Optimal Design of TD-TI Controller for LFC Considering Renewables Penetration by an Improved Chaos Game Optimizer28
Adaptive Neural Network Sliding Mode Control for Nonlinear Singular Fractional Order Systems with Mismatched Uncertainties27
Orthonormal Ultraspherical Operational Matrix Algorithm for Fractal–Fractional Riccati Equation with Generalized Caputo Derivative27
LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities26
Modified FOPID Controller for Frequency Regulation of a Hybrid Interconnected System of Conventional and Renewable Energy Sources26
Analysis of Fractional Order Chaotic Financial Model with Minimum Interest Rate Impact26
New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator26
Study on the Complex Dynamical Behavior of the Fractional-Order Hopfield Neural Network System and Its Implementation26
Stability of a Nonlinear Langevin System of ML-Type Fractional Derivative Affected by Time-Varying Delays and Differential Feedback Control25
A Fractional SAIDR Model in the Frame of Atangana–Baleanu Derivative25
Dynamical Behaviors of an SIR Epidemic Model with Discrete Time25
Spectral Collocation Approach via Normalized Shifted Jacobi Polynomials for the Nonlinear Lane-Emden Equation with Fractal-Fractional Derivative25
Segmentation of Concrete Cracks by Using Fractal Dimension and UHK-Net25
Controllability for Fuzzy Fractional Evolution Equations in Credibility Space25
Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings25
Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions24
Dynamics of Fractional Model of Biological Pest Control in Tea Plants with Beddington–DeAngelis Functional Response24
Fractal Analysis of Particle Distribution and Scale Effect in a Soil–Rock Mixture24
Laplace Transform Method for Economic Models with Constant Proportional Caputo Derivative24
Multiple-Layer Image Encryption Utilizing Fractional-Order Chen Hyperchaotic Map and Cryptographically Secure PRNGs24
On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability24
Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings24
Exact Solution of Two-Dimensional Fractional Partial Differential Equations23
Functional Differential Equations Involving the ψ-Caputo Fractional Derivative23
Fractal–Fractional Michaelis–Menten Enzymatic Reaction Model via Different Kernels23
Image Enhancement Based on Rough Set and Fractional Order Differentiator23
Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses23
Some New Versions of Hermite–Hadamard Integral Inequalities in Fuzzy Fractional Calculus for Generalized Pre-Invex Functions via Fuzzy-Interval-Valued Settings23
Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach23
Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators22
Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability22
Chaos Control for a Fractional-Order Jerk System via Time Delay Feedback Controller and Mixed Controller22
Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation22
The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time21
Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators21
Dynamical Analysis of a Novel Fractional-Order Chaotic System Based on Memcapacitor and Meminductor21
The Fractional Discrete Predator–Prey Model: Chaos, Control and Synchronization21
Impact of Non-Uniform Periodic Magnetic Field on Unsteady Natural Convection Flow of Nanofluids in Square Enclosure21
The Sensitive Visualization and Generalized Fractional Solitons’ Construction for Regularized Long-Wave Governing Model21
Stability of Generalized Proportional Caputo Fractional Differential Equations by Lyapunov Functions21
Surface Cracking and Fractal Characteristics of Cement Paste after Exposure to High Temperatures21
Effect of Chemical Composition of Fine Aggregate on the Frictional Behavior of Concrete–Soil Interface under Sulfuric Acid Environment21
A New Approach Using Integral Transform to Solve Cancer Models20
Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel20
Characteristic Analysis and Circuit Implementation of a Novel Fractional-Order Memristor-Based Clamping Voltage Drift20
Rational Approximations of Arbitrary Order: A Survey20
A New Intelligent Fractional-Order Load Frequency Control for Interconnected Modern Power Systems with Virtual Inertia Control20
H-U-Type Stability and Numerical Solutions for a Nonlinear Model of the Coupled Systems of Navier BVPs via the Generalized Differential Transform Method20
Fractal Calculus on Fractal Interpolation Functions20
Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function20
A Numerical Study of the Fractional Order Dynamical Nonlinear Susceptible Infected and Quarantine Differential Model Using the Stochastic Numerical Approach19
Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation19
Power Law Kernel Analysis of MHD Maxwell Fluid with Ramped Boundary Conditions: Transport Phenomena Solutions Based on Special Functions19
A Neuro-Evolution Heuristic Using Active-Set Techniques to Solve a Novel Nonlinear Singular Prediction Differential Model19
A Survey of Fractional Order Calculus Applications of Multiple-Input, Multiple-Output (MIMO) Process Control19
Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions19
Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative19
Electrical Circuits RC, LC, and RLC under Generalized Type Non-Local Singular Fractional Operator19
The Influence of Noise on the Exact Solutions of the Stochastic Fractional-Space Chiral Nonlinear Schrödinger Equation19
Fractional-Order Derivatives Defined by Continuous Kernels: Are They Really Too Restrictive?19
Hidden and Coexisting Attractors in a Novel 4D Hyperchaotic System with No Equilibrium Point19
Fractal Analysis on Surface Topography of Thin Films: A Review19
New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions18
Analytical Study of Two Nonlinear Coupled Hybrid Systems Involving Generalized Hilfer Fractional Operators18
Fractal Characteristics of the Pore Structure of Coral Powder–Cement Slurry under Different Fractal Models18
A New Modeling of Fractional-Order and Sensitivity Analysis for Hepatitis-B Disease with Real Data18
Existence, Uniqueness, and Eq–Ulam-Type Stability of Fuzzy Fractional Differential Equation18
Local and Global Existence and Uniqueness of Solution for Time-Fractional Fuzzy Navier–Stokes Equations18
State of Charge Estimation of Lithium-Ion Batteries Based on Fuzzy Fractional-Order Unscented Kalman Filter18
Image Compression Using Fractal Functions18
Discretization, Bifurcation, and Control for a Class of Predator-Prey Interactions17
Some H-Godunova–Levin Function Inequalities Using Center Radius (Cr) Order Relation17
Novel Precise Solitary Wave Solutions of Two Time Fractional Nonlinear Evolution Models via the MSE Scheme17
Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method17
A Deep Learning BiLSTM Encoding-Decoding Model for COVID-19 Pandemic Spread Forecasting17
3D Boundary Element Model for Ultrasonic Wave Propagation Fractional Order Boundary Value Problems of Functionally Graded Anisotropic Fiber-Reinforced Plates17
A New Incommensurate Fractional-Order Discrete COVID-19 Model with Vaccinated Individuals Compartment17
Variable Step Hybrid Block Method for the Approximation of Kepler Problem17
Weighted Fractional Calculus: A General Class of Operators17
Modeling and Application of Fractional-Order Economic Growth Model with Time Delay17
Existence and Uniqueness of Mild Solution Where α ∈ (1,2) for Fuzzy Fractional Evolution Equations with Uncertainty17
Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators17
Population Forecast of China’s Rural Community Based on CFANGBM and Improved Aquila Optimizer Algorithm17
Approximate Analytical Methods for a Fractional-Order Nonlinear System of Jaulent–Miodek Equation with Energy-Dependent Schrödinger Potential17
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator17
An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation17
Incorporating Rheological Nonlinearity into Fractional Calculus Descriptions of Fractal Matter and Multi-Scale Complex Fluids16
Some Dynamical Models Involving Fractional-Order Derivatives with the Mittag-Leffler Type Kernels and Their Applications Based upon the Legendre Spectral Collocation Method16
Generalized Bessel Quasilinearization Technique Applied to Bratu and Lane–Emden-Type Equations of Arbitrary Order16
A New Perspective on the Exact Solutions of the Local Fractional Modified Benjamin–Bona–Mahony Equation on Cantor Sets16
Existence Results for Coupled Nonlinear Sequential Fractional Differential Equations with Coupled Riemann–Stieltjes Integro-Multipoint Boundary Conditions16
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method16
Hermite–Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions16
RBF-Based Local Meshless Method for Fractional Diffusion Equations16
On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis16
Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions16
Generalized Mittag-Leffler Kernel Form Solutions of Free Convection Heat and Mass Transfer Flow of Maxwell Fluid with Newtonian Heating: Prabhakar Fractional Derivative Approach16
Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy16
Fractals: An Eclectic Survey, Part-I15
CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators15
Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach15
Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator15
Novel Patterns in Fractional-in-Space Nonlinear Coupled FitzHugh–Nagumo Models with Riesz Fractional Derivative15
Adaptive Fractional Image Enhancement Algorithm Based on Rough Set and Particle Swarm Optimization15
A Study of the Soliton Solutions with an Intrinsic Fractional Discrete Nonlinear Electrical Transmission Line15
Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach15
Advancement of Non-Newtonian Fluid with Hybrid Nanoparticles in a Convective Channel and Prabhakar’s Fractional Derivative—Analytical Solution15
Fractional SIS Epidemic Models15
Effect of Grain Size on Microscopic Pore Structure and Fractal Characteristics of Carbonate-Based Sand and Silicate-Based Sand15
Mathematical Description of the Groundwater Flow and that of the Impurity Spread, which Use Temporal Caputo or Riemann–Liouville Fractional Partial Derivatives, Is Non-Objective15
An Averaging Principle for Stochastic Fractional Differential Equations Driven by fBm Involving Impulses15
A Scaled Boundary Finite-Element Method with B-Differentiable Equations for 3D Frictional Contact Problems15
Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications15
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects15
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives15
On Convexity, Monotonicity and Positivity Analysis for Discrete Fractional Operators Defined Using Exponential Kernels15
Exact Fractional Solution by Nucci’s Reduction Approach and New Analytical Propagating Optical Soliton Structures in Fiber-Optics14
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions14
Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations14
An Insight into the Impacts of Memory, Selling Price and Displayed Stock on a Retailer’s Decision in an Inventory Management Problem14
On Weighted (k, s)-Riemann-Liouville Fractional Operators and Solution of Fractional Kinetic Equation14
Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions14
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control14
Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions14
Comb Model with Non-Static Stochastic Resetting and Anomalous Diffusion14
Identifying Partial Topological Structures of Stochastic Multi-Group Models with Multiple Dispersals via Graph-Theoretic Method14
The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain14
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations14
A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels14
Numerical Investigations of the Fractional-Order Mathematical Model Underlying Immune-Chemotherapeutic Treatment for Breast Cancer Using the Neural Networks14
A Numerical Solution of Generalized Caputo Fractional Initial Value Problems14
Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration13
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels13
Cole-Impedance Model Representations of Right-Side Segmental Arm, Leg, and Full-Body Bioimpedances of Healthy Adults: Comparison of Fractional-Order13
Optimal Frequency Control of Multi-Area Hybrid Power System Using New Cascaded TID-PIλDμN Controller Incorporating Electric Vehicles13
Generalized Fractional Integral Inequalities for p-Convex Fuzzy Interval-Valued Mappings13
Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces13
A Comprehensive Mathematical Model for SARS-CoV-2 in Caputo Derivative13
On the Existence and Stability of Variable Order Caputo Type Fractional Differential Equations13
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel13
Scale-Free Fractal Interpolation13
Fixed-Time Fractional-Order Global Sliding Mode Control for Nonholonomic Mobile Robot Systems under External Disturbances13
On the Modeling of COVID-19 Transmission Dynamics with Two Strains: Insight through Caputo Fractional Derivative13
On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus13
Zener Model with General Fractional Calculus: Thermodynamical Restrictions13
Optimal PID Controllers for AVR Systems Using Hybrid Simulated Annealing and Gorilla Troops Optimization13
Numerical Solutions of Variable-Coefficient Fractional-in-Space KdV Equation with the Caputo Fractional Derivative13
Multi-Model Selection and Analysis for COVID-1913
A Modified Leslie–Gower Model Incorporating Beddington–DeAngelis Functional Response, Double Allee Effect and Memory Effect12
Analytic Fuzzy Formulation of a Time-Fractional Fornberg–Whitham Model with Power and Mittag–Leffler Kernels12
Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem12
Applications of a Fixed Point Result for Solving Nonlinear Fractional and Integral Differential Equations12
Local Fractional Integral Hölder-Type Inequalities and Some Related Results12
Influence of Fin Length on Magneto-Combined Convection Heat Transfer Performance in a Lid-Driven Wavy Cavity12
A Study of Generalized Hybrid Discrete Pantograph Equation via Hilfer Fractional Operator12
Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function12
Driver Training Based Optimized Fractional Order PI-PDF Controller for Frequency Stabilization of Diverse Hybrid Power System12
Non-Dominated Sorting Manta Ray Foraging Optimization for Multi-Objective Optimal Power Flow with Wind/Solar/Small- Hydro Energy Sources12
New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative12
Recent Advances and Applications of Spiral Dynamics Optimization Algorithm: A Review12
Hilfer–Hadamard Fractional Boundary Value Problems with Nonlocal Mixed Boundary Conditions12
Fractional-Order Interval Observer for Multiagent Nonlinear Systems12
Using Fractal Calculus to Solve Fractal Navier–Stokes Equations, and Simulation of Laminar Static Mixing in COMSOL Multiphysics12
Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects12
A Visually Secure Image Encryption Based on the Fractional Lorenz System and Compressive Sensing12
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry12
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations12
Fractional-Order Modelling and Optimal Control of Cholera Transmission12
In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives12
Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator12
Fractals: An Eclectic Survey, Part II12
Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions12
A New Three-Step Root-Finding Numerical Method and Its Fractal Global Behavior12
Existence of Mild Solutions for Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators12
Realization of Cole–Davidson Function-Based Impedance Models: Application on Plant Tissues12
Utilizing Fractals for Modeling and 3D Printing of Porous Structures12
Design and High-Order Precision Numerical Implementation of Fractional-Order PI Controller for PMSM Speed System Based on FPGA12
Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method12
Fractional Transformation-Based Intelligent H-Infinity Controller of a Direct Current Servo Motor12
Fractional Kinetic Equations Associated with Incomplete I-Functions12
Numerical Solution of Nonlinear Fractional Diffusion Equation in Framework of the Yang–Abdel–Cattani Derivative Operator12
On the Design of Power Law Filters and Their Inverse Counterparts12
Semi-Analytical Solutions for Fuzzy Caputo–Fabrizio Fractional-Order Two-Dimensional Heat Equation11
Time-Fractional Phase Field Model of Electrochemical Impedance11
The Mittag–Leffler Functions for a Class of First-Order Fractional Initial Value Problems: Dual Solution via Riemann–Liouville Fractional Derivative11
Fractional-Order Models for Biochemical Processes11
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach11
Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus11
Investigation of Finite-Difference Schemes for the Numerical Solution of a Fractional Nonlinear Equation11
A Compact Triple-Band UWB Inverted Triangular Antenna with Dual-Notch Band Characteristics Using SSRR Metamaterial Structure for Use in Next-Generation Wireless Systems11
On Starlike Functions of Negative Order Defined by q-Fractional Derivative11
The Propagating Exact Solitary Waves Formation of Generalized Calogero–Bogoyavlenskii–Schiff Equation with Robust Computational Approaches11
Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function11
On the Physical Fractional Modulations on Langmuir Plasma Structures11
The Novel Mittag-Leffler–Galerkin Method: Application to a Riccati Differential Equation of Fractional Order11
New Riemann–Liouville Fractional-Order Inclusions for Convex Functions via Interval-Valued Settings Associated with Pseudo-Order Relations11
Fractal Characteristics of Geopolymer Mortar Containing Municipal Solid Waste Incineration Fly Ash and Its Correlations to Pore Structure and Strength11
Fractal-Fractional Caputo Maize Streak Virus Disease Model11
Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone11
Fractional-Fractal Modeling of Filtration-Consolidation Processes in Saline Saturated Soils11
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent11
Qualitative Properties of Positive Solutions of a Kind for Fractional Pantograph Problems using Technique Fixed Point Theory11
Dilatancy Equation Based on the Property-Dependent Plastic Potential Theory for Geomaterials11
The Effect of Caputo Fractional Variable Difference Operator on a Discrete-Time Hopfield Neural Network with Non-Commensurate Order11
Supervised Neural Network Procedures for the Novel Fractional Food Supply Model11
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