Fractal and Fractional

Papers
(The median citation count of Fractal and Fractional is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-10-01 to 2025-10-01.)
ArticleCitations
Derivation of Closed-Form Expressions in Apéry-like Series Using Fractional Calculus and Applications191
Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations177
Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential133
Novel Admissibility Criteria and Multiple Simulations for Descriptor Fractional Order Systems with Minimal LMI Variables123
Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources121
Dynamical Behaviors of an Environmental Protection Expenses Model in Protected Areas with Two Delays101
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation93
The Construction of High-Order Robust Theta Methods with Applications in Subdiffusion Models89
Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator89
On the Visibility of Homogeneous Cantor Sets79
New Challenges Arising in Engineering Problems with Fractional and Integer Order-II78
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces77
Analytical Study of the Complexities in a Three Species Food Web Model with Modified Caputo–Fabrizio Operator72
Space–Time Variations in the Long-Range Dependence of Sea Surface Chlorophyll in the East China Sea and the South China Sea71
The Effects of Nonlinear Noise on the Fractional Schrödinger Equation70
Mild Solutions of Fractional Integrodifferential Diffusion Equations with Nonlocal Initial Conditions via the Resolvent Family69
The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach68
New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function67
Fractal Analysis on the Crushing Characteristics of Soil-Soft Rock Mixtures under Compaction66
New Results on Robust Synchronization for Memristive Neural Networks with Fractional Derivatives via Linear Matrix Inequality64
Stability and Convergence Analysis of Compact Finite Difference Method for High-Dimensional Time-Fractional Diffusion Equations with High-Order Accuracy in Time63
Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo63
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations—Pantograph-Type Model62
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection61
Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators59
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms58
Finite-Time Cluster Synchronization of Fractional-Order Complex-Valued Neural Networks Based on Memristor with Optimized Control Parameters56
A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface53
A Variable-Order Fractional Constitutive Model to Characterize the Rate-Dependent Mechanical Behavior of Soft Materials53
The Relationship Between the Fractal Dimension and the Evolution of Rock-Forming Minerals Crystallization on the Example of the Northwestern Part of the Lovozero Intrusion53
Regularity Results for Hybrid Proportional Operators on Hölder Spaces52
Simulation Method for the Distribution of Fractured Branches in Tight Reservoirs During CO2 Fracturing Based on a Fractal Method52
New Generalized Jacobi Polynomial Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Boundary Value Problems52
Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales52
Impulsive Control of Variable Fractional-Order Multi-Agent Systems51
Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel49
Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems49
Design and Fabrication of a Transparent Screen-Printed Decagonal Fractal Antenna Using Silver Nanoparticles48
PQMLE and Generalized F-Test of Random Effects Semiparametric Model with Serially and Spatially Correlated Nonseparable Error47
Metaheuristic-Based Algorithms for Optimizing Fractional-Order Controllers—A Recent, Systematic, and Comprehensive Review47
Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions47
Daughter Coloured Noises: The Legacy of Their Mother White Noises Drawn from Different Probability Distributions47
Pore Structural and Fractal Analysis of the Effects of MgO Reactivity and Dosage on Permeability and F–T Resistance of Concrete46
Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions45
Evolution of Morphology, Fractal Dimensions, and Structure of (Titanium) Aluminosilicate Gel during Synthesis of Zeolites Y and Ti-Y45
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators44
Crop and Weed Segmentation and Fractal Dimension Estimation Using Small Training Data in Heterogeneous Data Environment44
A Fractional Time–Space Stochastic Advection–Diffusion Equation for Modeling Atmospheric Moisture Transport at Ocean–Atmosphere Interfaces44
Fractional-Order Constitutive Modeling of Shear Creep Damage in Carbonaceous Mud Shale: Experimental Verification of Acoustic Emission Ringing Count Rate Analysis44
Hermite-Hadamard Fractional Inequalities for Differentiable Functions42
A Suitable Algorithm to Solve a Nonlinear Fractional Integro-Differential Equation with Extended Singular Kernel in (2+1) Dimensions41
Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation40
A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue40
New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations40
Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative39
Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models39
A Proportional-Integral-One Plus Double Derivative Controller-Based Fractional-Order Kepler Optimizer for Frequency Stability in Multi-Area Power Systems with Wind Integration38
Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach38
A Novel Numerical Method for Solving Nonlinear Fractional-Order Differential Equations and Its Applications38
Control and Synchronization of a Novel Realizable Nonlinear Chaotic System38
Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis38
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations38
Large Deviation Principle for Hilfer Fractional Stochastic McKean–Vlasov Differential Equations37
Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account37
Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme36
Penetration Grouting Mechanism of Bingham Fluid in Porous Media Based on Fractal Theory36
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform36
The Impact of Fractal Dimension, Stress Tensors, and Earthquake Probabilities on Seismotectonic Characterisation in the Red Sea36
Barrier Option Pricing in the Sub-Mixed Fractional Brownian Motion with Jump Environment36
Properties of q-Differential Equations of Higher Order and Visualization of Fractal Using q-Bernoulli Polynomials35
Static Shift Correction and Fractal Characteristic Analysis of Time-Frequency Electromagnetic Data35
An Operational Approach to Fractional Scale-Invariant Linear Systems35
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression35
Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions34
On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis34
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures34
Command Filter-Based Adaptive Neural Control for Nonstrict-Feedback Nonlinear Systems with Prescribed Performance34
Fish-Tail Structured Fractal Monopole Printed Antenna with Dual Broadband Characteristics for Sub–6GHz 5G and X–Band Radar Applications33
The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials33
New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals33
Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay33
Applications of Fractional Order Logistic Grey Models for Carbon Emission Forecasting32
Dynamics and Stability of a Fractional-Order Tumor–Immune Interaction Model with B-D Functional Response and Immunotherapy32
Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth32
Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives32
Forecasting the Active Cases of COVID-19 via a New Stochastic Rayleigh Diffusion Process32
Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations32
Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation32
Texture Feature Analysis of the Microstructure of Cement-Based Materials During Hydration32
Synchronization of Incommensurate Fractional-Order Chaotic Systems Based on Linear Feedback Control31
Pell and Pell–Lucas Sequences of Fractional Order31
Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law31
Characterization of Ceramic Thermal Shock Cracks Based on the Multifractal Spectrum31
Predicting the Remaining Useful Life of Turbofan Engines Using Fractional Lévy Stable Motion with Long-Range Dependence31
Mixed Convection Flow over an Elastic, Porous Surface with Viscous Dissipation: A Robust Spectral Computational Approach31
Study on Uniaxial Compression Deformation and Fracture Development Characteristics of Weak Interlayer Coal–Rock Combination31
A Generalization of Multifractional Brownian Motion30
Compact Difference Schemes with Temporal Uniform/Non-Uniform Meshes for Time-Fractional Black–Scholes Equation30
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, Bohai30
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions30
Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle29
Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System29
A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers29
An Adsorption Model Considering Fictitious Stress29
Approximation by Quantum Meyer-König-Zeller Fractal Functions29
The Impact of Elastoplastic Deformation Behavior on the Apparent Gas Permeability of Deep Fractal Shale Rocks29
Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation29
Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations29
Exact Traveling Wave Solutions of the Local Fractional Bidirectional Propagation System Equations28
Fractional Model of the Deformation Process28
The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function28
Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions28
Improved Performance in the Control of DC-DC Three-Phase Power Electronic Converter Using Fractional-Order SMC and Synergetic Controllers and RL-TD3 Agent28
Theoretical and Experimental Designs of the Planetary Boundary Layer Dynamics through a Multifractal Theory of Motion28
Editorial for Special Issue “Fractional Calculus Operators and the Mittag–Leffler Function”28
Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions28
Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations28
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions28
Fractal Parameters as Independent Biomarkers in the Early Diagnosis of Pediatric Onset Inflammatory Bowel Disease28
Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology28
A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black–Scholes Model27
Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform27
Dynamic Event-Triggered Prescribed-Time Consensus Tracking of Nonlinear Time-Delay Multiagent Systems by Output Feedback27
A New Fractional-Order Grey Prediction Model without a Parameter Estimation Process27
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession26
Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model26
Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China26
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic Equations26
Evolution of Pore Structure and Fractal Characteristics in Red Sandstone under Cyclic Impact Loading26
Remarks on the Relationship Between Fractal Dimensions and Convergence Speed26
The Spatial Variation of Soil Structure Fractal Derived from Particle Size Distributions at the Basin Scale26
Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains26
Discrete-Time Fractional-Order Sliding Mode Attitude Control of Multi-Spacecraft Systems Based on the Fully Actuated System Approach26
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 Equations25
Heat and Mass Transfer Impact on Differential Type Nanofluid with Carbon Nanotubes: A Study of Fractional Order System25
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis25
Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation25
φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras25
Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method25
Power-Efficient Electronically Tunable Fractional-Order Filter25
Synchronizability of Multilayer Directed Dutch Windmill Networks25
Finite Time Stability of Fractional Order Systems of Neutral Type25
Switched Fractional Order Multiagent Systems Containment Control with Event-Triggered Mechanism and Input Quantization25
Fractal Analysis for Wave Propagation in Combustion–Explosion Fracturing Shale Reservoir25
Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method24
Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry24
Novel Meta-Fractal Wearable Sensors and Antennas for Medical, Communication, 5G, and IoT Applications24
The Continuous Bernoulli Distribution: Mathematical Characterization, Fractile Regression, Computational Simulations, and Applications24
On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations24
Discrimination of Microseismic Events in Coal Mine Using Multifractal Method and Moment Tensor Inversion24
An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices24
Relationship between Remanence and Micromorphology of Nd-Fe-B Permanent Magnets Revealed by Fractal Theory and EBSD Data24
Impressive Exact Solitons to the Space-Time Fractional Mathematical Physics Model via an Effective Method24
On the Physical Fractional Modulations on Langmuir Plasma Structures23
Multifractal Analysis of 3D Correlated Nanoporous Networks23
Stochastic Optimal Control Analysis of a Mathematical Model: Theory and Application to Non-Singular Kernels23
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations23
On a System of Riemann–Liouville Fractional Boundary Value Problems with ϱ-Laplacian Operators and Positive Parameters23
Modified and Improved TID Controller for Automatic Voltage Regulator Systems23
Fractal Dimension Analysis of Structure and Bending Strength of Porous Alumina Prepared Using Starch and Carbon Fiber as Pore-Forming Agents23
The Role of the Discount Policy of Prepayment on Environmentally Friendly Inventory Management23
A Fractional Order Investigation of Smoking Model Using Caputo-Fabrizio Differential Operator23
Total Value Adjustment of Multi-Asset Derivatives under Multivariate CGMY Processes23
Local Convergence of Traub’s Method and Its Extensions23
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
Simple Graphical Prediction of Relative Permeability of Unsaturated Soils under Deformations22
Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions22
Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function22
Securing Bipartite Nonlinear Fractional-Order Multi-Agent Systems against False Data Injection Attacks (FDIAs) Considering Hostile Environment22
Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks22
Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations22
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach22
Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations22
Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain22
Some Properties of Fractal Tsallis Entropy22
High-Accuracy Simulation of Rayleigh Waves Using Fractional Viscoelastic Wave Equation22
Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures22
Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data22
A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary22
Linearly Implicit High-Order Exponential Integrators Conservative Runge–Kutta Schemes for the Fractional Schrödinger Equation22
Editorial for Special Issue “Fractal and Fractional in Geomaterials”22
A Note on Gradient/Fractional One-Dimensional Elasticity and Viscoelasticity21
A Compact Scheme Combining the Fast Time Stepping Method for Solving 2D Fractional Subdiffusion Equations21
On Mixed Fractional Lifting Oscillation Spaces21
Finite-Time Synchronization for Fractional Order Fuzzy Inertial Cellular Neural Networks with Piecewise Activations and Mixed Delays21
The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map21
Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles21
Fractal Analysis of GPT-2 Token Embedding Spaces: Stability and Evolution of Correlation Dimension21
Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil21
Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials21
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier–Stokes Equations21
Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications21
Dynamical Analysis of Fractional-Order Quaternion-Valued Neural Networks with Leakage and Communication Delays20
Formation Control of Underactuated AUVs Using a Fractional-Order Sliding Mode Observer20
Remaining Useful Life Prediction of a Planetary Gearbox Based on Meta Representation Learning and Adaptive Fractional Generalized Pareto Motion20
Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform20
Effects of Hausdorff Dimension on the Static and Free Vibration Response of Beams with Koch Snowflake-like Cross Section20
Generalized Criteria for Admissibility of Singular Fractional Order Systems20
Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation20
Method for Measuring the Fractional Derivative of a Two-Dimensional Magnetic Field Based on Taylor–Riemann Series20
Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent20
Advanced Numerical Scheme for Solving Nonlinear Fractional Kuramoto–Sivashinsky Equations Using Caputo Operators20
Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks20
Investigation and Application of Fractals in Civil Engineering Materials20
Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation20
A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order20
The Continued Fraction Structure in Physical Fractal Theory20
Comparison between the Influence of Finely Ground Phosphorous Slag and Fly Ash on Frost Resistance, Pore Structures and Fractal Features of Hydraulic Concrete20
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions20
O-Shape Fractal Antenna Optimized Design with Broad Bandwidth and High Gain for 6G Mobile Communication Devices20
Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System20
Artificial Intelligence-Based Segmentation and Classification of Plant Images with Missing Parts and Fractal Dimension Estimation20
Application of an Optimal Fractional-Order Controller for a Standalone (Wind/Photovoltaic) Microgrid Utilizing Hybrid Storage (Battery/Ultracapacitor) System20
The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation19
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators19
Multifractal Characterization of Heterogeneous Pore Water Redistribution and Its Influence on Permeability During Depletion: Insights from Centrifugal NMR Analysis19
Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals19
Fractional Calculus for Neutrosophic-Valued Functions and Its Application in an Inventory Lot-Sizing Problem19
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects19
The Sharp Bounds of Hankel Determinants for the Families of Three-Leaf-Type Analytic Functions19
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions19
Optimal Design of Fractional-Order PID Controllers for a Nonlinear AWS Wave Energy Converter Using Hybrid Jellyfish Search and Particle Swarm Optimization19
Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications19
Complementary Metal Oxide Semiconductor Circuit Realization of Inverse Chebyshev Low-Pass Filter of Order (1 + α)19
Analysis of the Microscopic Pore Structure Characteristics of Sandstone Based on Nuclear Magnetic Resonance Experiments and Nuclear Magnetic Resonance Logging Technology19
Bifurcation of Traveling Wave Solution of Sakovich Equation with Beta Fractional Derivative19
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations19
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
A High-Performance Fractional Order Controller Based on Chaotic Manta-Ray Foraging and Artificial Ecosystem-Based Optimization Algorithms Applied to Dual Active Bridge Converter19
Existence of the Class of Nonlinear Hybrid Fractional Langevin Quantum Differential Equation with Dirichlet Boundary Conditions19
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays19
The Strict Stability of Impulsive Differential Equations with a Caputo Fractional Derivative with Respect to Other Functions19
Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces19
Isomorphic Multidimensional Structures of the Cyclic Random Process in Problems of Modeling Cyclic Signals with Regular and Irregular Rhythms19
Editorial for Special Issue “Fractal and Fractional in Cement-Based Materials”19
Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment19
Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion19
Modeling and Dynamical Analysis of a Fractional-Order Predator–Prey System with Anti-Predator Behavior and a Holling Type IV Functional Response19
Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks19
Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem18
Synchronization of Julia Sets in Three-Dimensional Discrete Financial Models18
High-Order Numerical Approximation for 2D Time-Fractional Advection–Diffusion Equation under Caputo Derivative18
Partially Explore the Differences and Similarities between Riemann-Liouville Integral and Mellin Transform18
Strong Solution for Fractional Mean Field Games with Non-Separable Hamiltonians18
Sliding-Window TD-FrFT Algorithm for High-Precision Ranging of LFM Signals in the Presence of Impulse Noise18
A Look-Up Table Based Fractional Order Composite Controller Synthesis Method for the PMSM Speed Servo System18
Co-Dynamics of COVID-19 and Viral Hepatitis B Using a Mathematical Model of Non-Integer Order: Impact of Vaccination18
Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution18
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