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Fractal and Fractional
>2023年第1期
Fractal and Fractional
中文名称:分形和分数
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1.
Fractional Dual-Phase-Lag Model for Nonlinear Viscoelastic Soft Tissues
作者:
Fahmy Mohamed Abdelsabour
;
Almehmadi Mohammed M.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional dual-phase-lag bioheat model;
bio-thermomechanical problems;
functionally graded anisotropic;
nonlinear viscoelastic soft tissues;
boundary element method;
BOUNDARY-ELEMENT METHOD;
CONVOLUTION QUADRATURE;
HEAT-CONDUCTION;
PROPAGATION;
SIMULATION;
ALGORITHM;
DIFFUSION;
2.
Multistability and Phase Synchronization of Rulkov Neurons Coupled with a Locally Active Discrete Memristor
作者:
Ma Minglin
;
Lu Yaping
;
Li ZhijunSun YichuangWang Chunhua
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
locally active discrete memristor;
multistability;
synchronization transition;
NEURAL-NETWORK;
IMPLEMENTATION;
DYNAMICS;
MODEL;
CHAOS;
3.
A Family of Transformed Difference Schemes for Nonlinear Time-Fractional Equations
作者:
Qin Hongyu
;
Chen Xiaoli
;
Zhou Boya
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
time-fractional parabolic problems;
change in variable;
convergence;
optimal error estimates;
linearized schemes;
CONVOLUTION QUADRATURE;
NUMERICAL-METHODS;
4.
Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations
作者:
Zhang Tianwei
;
Li Yongkun
;
Zhou Jianwen
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
strong solution;
almost automorphy;
Galerkin;
Fourier;
Picard;
LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS;
MILD SOLUTIONS;
WEIGHTED PSEUDO;
EVOLUTION-EQUATIONS;
CAUCHY-PROBLEMS;
INEQUALITIES;
ORDER;
5.
Exponential Scattering for a Damped Hartree Equation
作者:
Alharbi Talal
;
Boulaaras Salah
;
Saanouni Tarek
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Choquard equation;
damping;
global existence;
exponential scattering;
FRACTIONAL SCHRODINGER-EQUATION;
DYNAMICS;
DISPERSION;
6.
Structural and Fractal Analysis of Soil Cracks Due to the Roots of Setaria Viridis
作者:
Tang Yuchen
;
Yang Binbin
;
Zhao XiaomingYang Changde
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractal analysis;
image processing;
soil crack network;
fracture rate;
setaria viridis root system;
WATER CHARACTERISTIC CURVE;
SLOPE;
PARAMETERS;
STRENGTH;
MODEL;
CLAY;
7.
Proportional-Integral-Derivative Controller Based-Artificial Rabbits Algorithm for Load Frequency Control in Multi-Area Power Systems
作者:
El-Sehiemy Ragab
;
Shaheen Abdullah
;
Ginidi AhmedAl-Gahtani Saad F.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
artificial rabbits algorithm;
proportional-integral-derivative controller;
load frequency control;
AUTOMATIC-GENERATION CONTROL;
CLASSICAL CONTROLLERS;
PID CONTROLLER;
DESIGN;
AGC;
OPTIMIZER;
8.
On the Stability Domain of a Class of Linear Systems of Fractional Order
作者:
Danca Marius-F.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Caputo forward difference operator;
stability domain;
matignon criterion;
Mandelbrot set of fractional order;
ASYMPTOTIC STABILITY;
9.
Petviashvili Method for the Fractional Schrodinger Equation
作者:
Bayindir Cihan
;
Farazande Sofi
;
Altintas Azmi AliOzaydin Fatih
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional nonlinear Schrodinger equation;
Petviashvili method;
potential function;
solitons;
q-deformation;
SELF-LOCALIZED SOLITONS;
HARMONIC-OSCILLATOR;
QUANTUM;
10.
A Review on Fractional-Order Modelling and Control of Robotic Manipulators
作者:
Bingi Kishore
;
Prusty B. Rajanarayan
;
Singh Abhaya Pal
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
approximation approaches;
fractional calculus;
fractional-order control;
fractional-order model;
industrial manipulators;
optimization techniques;
robotic manipulators;
FUZZY-LOGIC CONTROLLERS;
SLIDING-MODE;
PID CONTROLLERS;
PERFORMANCE ANALYSIS;
TRAJECTORY CONTROL;
ADAPTIVE-CONTROL;
POSITION CONTROL;
DESIGN;
REDUNDANT;
ROBUST;
11.
Identification of the Order of the Fractional Derivative for the Fractional Wave Equation
作者:
Ashurov Ravshan
;
Sitnik Sergei
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional wave equation;
Riemann-Liouville derivatives;
inverse problem;
determination of the order of derivative;
Fourier method;
INVERSE PROBLEM;
DIFFUSION;
TERM;
12.
Non-Linear Analysis of Novel Equivalent Circuits of Single-Diode Solar Cell Models with Voltage-Dependent Resistance
作者:
Vellingiri Mahendiran
;
Rawa Muhyaddin
;
Alghamdi SultanAlhussainy Abdullah A.Althobiti Ahmed S.Calasan MartinMicev MihailoAli Ziad M.Abdel Aleem Shady H. E.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
chaotic snake optimization;
Lambert W function;
optimization;
mathematical models;
solar PV cells;
PARTICLE SWARM OPTIMIZATION;
FLOWER POLLINATION ALGORITHM;
PARAMETERS IDENTIFICATION;
PHOTOVOLTAIC MODELS;
PV CELLS;
EXTRACTION;
13.
LFM Signal Parameter Estimation via FTD-FRFT in Impulse Noise
作者:
Liu Xuelian
;
Li Xuemei
;
Xiao BoWang ChunyangMa Bo
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
impulse noise;
LFM signal;
fastest tracking differentiator;
fractional Fourier transform;
parameter estimation;
PERFORMANCE;
14.
Constructing Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method
作者:
Burqan Aliaa
;
Sarhan Aref
;
Saadeh Rania
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional Riccati differential equation;
Laplace transform;
approximate solution;
residual power series;
APPROXIMATION;
15.
Asymptotic Behavior of Delayed Reaction-Diffusion Neural Networks Modeled by Generalized Proportional Caputo Fractional Partial Differential Equations
作者:
Agarwal Ravi P.
;
Hristova Snezhana
;
ORegan Donal
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
reaction-diffusion neural networks;
generalized proportional Caputo fractional derivatives;
delays;
asymptotic behavior;
HBV MODEL;
SYNCHRONIZATION;
STABILITY;
DYNAMICS;
SYSTEM;
TERMS;
16.
Time-Delay Fractional Variable Order Adaptive Synchronization and Anti-Synchronization between Chen and Lorenz Chaotic Systems Using Fractional Order PID Control
作者:
Padron Joel Perez
;
Perez Jose P.
;
Diaz Jose Javier PerezAstengo-Noguez Carlos
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
time-delay adaptive synchronization;
time-delay adaptive anti-synchronization;
PID contol law;
Lyapunov stability;
Caputo derivative;
fractional order chaotic systems;
17.
From Fractal Behavior of Iteration Methods to an Efficient Solver for the Sign of a Matrix
作者:
Liu Tao
;
Ullah Malik Zaka
;
Alshahrani Khalid Mohammed AliShateyi Stanford
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
matrix sign;
iteration method;
convergence order;
fractal;
attraction basin;
18.
Post Mortem Image Analysis of Astrocytes of the Human Principal Olivary Nucleus Using Geometrical and Fractal Parameters
作者:
Stojic Damjan
;
Radosevic Dragana
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
astrocyte;
morphology;
monofractal;
principal component analysis;
aging;
QUANTITATIVE-ANALYSIS;
NEURONS;
CELLS;
CLASSIFICATION;
MORPHOLOGY;
BRAIN;
19.
Modified FOPID Controller for Frequency Regulation of a Hybrid Interconnected System of Conventional and Renewable Energy Sources
作者:
Daraz Amil
;
Malik Suheel Abdullah
;
Basit AbdulAslam SherazZhang Guoqiang
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
automatic generation control;
fractional order PID controller;
load frequency control;
renewable energy source;
jellyfish swarm algorithm;
optimization techniques;
AUTOMATIC-GENERATION CONTROL;
MULTIAREA POWER-SYSTEM;
FUZZY PID CONTROLLER;
ALGORITHM;
AGC;
STABILITY;
DESIGN;
20.
Application of Multifractal Analysis Theory to Interpret T-2 Cutoffs of NMR Logging Data: A Case Study of Coarse Clastic Rock Reservoirs in Southwestern Bozhong Sag, China
作者:
Wang Zefan
;
Yao Yanbin
;
Ma RuyingZhang XiaonaZhang Guibin
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
coarse clastic rock reservoirs;
nuclear magnetic resonance;
T-2 cutoff value;
multifractal analysis;
field application;
NMR logging;
NUCLEAR-MAGNETIC-RESONANCE;
BOHAI BAY BASIN;
PORE-SIZE DISTRIBUTION;
MOVABLE FLUID;
PERMEABILITY;
RELAXATION;
ADSORPTION;
DEPRESSION;
SANDSTONE;
MECHANISM;
21.
Application of Fractal to Evaluate the Drying Shrinkage Behavior of Soil Composites from Recycled Waste Clay Brick
作者:
Zhao Xiaozheng
;
Li Lingchen
;
Yang BinbinYang Changde
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
recycled waste clay brick;
fractal dimension;
soil composites;
probability entropy;
crack rate;
CRACK;
DESICCATION;
BIOCHAR;
POWDER;
22.
Switching-Jumps-Dependent Quasi-Synchronization Criteria for Fractional-Order Memrisive Neural Networks
作者:
Fan Yingjie
;
Wei Zhongliang
;
Li Meixuan
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
quasi-synchronization;
fractional-order memristive neural networks;
error bound;
switching-jumps;
STABILITY;
23.
New Fractional Integral Inequalities Pertaining to Center-Radius (cr)-Ordered Convex Functions
作者:
Sahoo Soubhagya Kumar
;
Alrweili Hleil
;
Treanta SavinKhan Zareen A. A.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
interval-valued analysis;
totally-ordered relations;
convexity;
fractional integrals;
Hermite-Hadamard inequality;
HERMITE-HADAMARD TYPE;
DIFFERENTIABLE MAPPINGS;
REAL NUMBERS;
24.
Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials
作者:
Abd-Elhameed Waleed Mohamed
;
Alsuyuti Muhammad Mahmoud
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
generalized polynomials;
Chebyshev polynomials;
recurrence relation;
fractional differential equations;
Galerkin method;
OPERATIONAL MATRIX;
3RD;
25.
Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials
作者:
Xi Yanan
;
Wang Lijie
;
Gao YunLei Dong
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
numerical investigation;
multifractal porous materials;
elastic modulus;
structural heterogeneity;
finite element method;
INFINITELY DIVISIBLE CASCADES;
WAVELET-BASED METHOD;
CEMENT PASTE;
EFFECTIVE PERMEABILITY;
IMAGE-ANALYSIS;
YOUNG MODULUS;
PORE NETWORK;
MODEL;
POROSITY;
MICROSTRUCTURE;
26.
Local Convergence of Traub's Method and Its Extensions
作者:
Saeed K. Muhammed
;
Remesh Krishnendu
;
George SanthoshPadikkal JideshArgyros Ioannis K.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
iterative methods;
Arithmetic-Mean Newton's method;
Weerakoon-Fernando method;
order of convergence;
Taylor series expansion;
Frechet derivative;
NEWTONS METHOD;
ITERATIVE METHODS;
ORDER;
VARIANTS;
27.
Hybrid Approach of Fractional Generalized Pareto Motion and Cosine Similarity Hidden Markov Model for Solar Radiation Forecasting
作者:
Song Wanqing
;
Deng Wujin
;
Chen DongdongJin RongKudreyko Aleksey
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
hybrid algorithm;
fractional generalized Pareto motion;
self-similarity;
long-range dependence;
cosine similarity hidden Markov model;
maximum prediction steps;
SELF-SIMILARITY;
NEURAL-NETWORK;
H-INFINITY;
PREDICTION;
DEPENDENCE;
SYSTEMS;
28.
Threshold Results for the Existence of Global and Blow-Up Solutions to a Time Fractional Diffusion System with a Nonlinear Memory Term in a Bounded Domain
作者:
Zhang Quanguo
;
Li Yaning
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
time fractional diffusion system;
blow-up;
global existence;
critical exponent;
nonlinear memory;
FUJITA CRITICAL EXPONENT;
ANOMALOUS DIFFUSION;
CAUCHY-PROBLEMS;
EQUATION;
STABILITY;
29.
Editorial for Special Issue 'Fractal and Fractional in Geomaterials'
作者:
Sun Yifei
;
Chen Cheng
;
Goudarzy Meisam
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
PARTICLE-SIZE;
BREAKAGE;
30.
Local and Global Mild Solution for Gravitational Effects of the Time Fractional Navier-Stokes Equations
作者:
Abuasbeh Kinda
;
Shafqat Ramsha
;
Niazi Azmat Ullah KhanSalman Hassan J. AlGhafli Ahmed A. AlAwadalla Muath
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Navier-Stokes equations;
Caputo fractional derivative;
existence;
stability;
Mittag-Leffler functions;
mild solutions;
regularity;
31.
Estimation Method of Ideal Fractal Parameters for Multi-Scale Measurement of Polished Surface Topography
作者:
Li Hongju
;
Liu Ying
;
Wang YuechangLiao Haoran
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractal;
polishing;
surface topography;
multi-scale measurement;
ideal fractal parameters;
ELASTIC-PLASTIC CONTACT;
ROUGH SURFACES;
MODEL;
SIMULATION;
32.
Stability and Controllability Study for Mixed Integral Fractional Delay Dynamic Systems Endowed with Impulsive Effects on Time Scales
作者:
Hammad Hasanen A.
;
De la sen Manuel
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
controllability;
generalized Ulam-Hyers stability;
time scale;
impulsive effect;
fixed point technique;
Leray-Schauder theorem;
DIFFERENTIAL-EQUATIONS;
EXISTENCE;
33.
An End-to-End Underwater-Image-Enhancement Framework Based on Fractional Integral Retinex and Unsupervised Autoencoder
作者:
Yu Yang
;
Qin Chenfeng
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
underwater image enhancement;
fractional integral Retinex;
unsupervised autoencoder;
VISION;
34.
The Dynamic Effects of COVID-19 and the March 2020 Crash on the Multifractality of NASDAQ Insurance Stock Markets
作者:
Li Xing
;
Su Fang
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
NASDAQ insurance stock market indexes;
COVID-19 epidemic;
dynamic effects;
multifractal analysis;
multifractal cross-correlation analysis;
DETRENDED FLUCTUATION ANALYSIS;
CROSS-CORRELATION ANALYSIS;
TIME-SERIES;
COMPONENTS;
BITCOIN;
RISK;
35.
A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations Based on the Fractional FFT
作者:
Fu Kexin
;
Zeng Xiaoxiao
;
Li XiaofeiDu Junjie
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
convolution method;
generalized theta-scheme;
backward stochastic differential equations;
the fractional FFT;
Fourier transform;
FOURIER-TRANSFORM;
THETA-SCHEME;
OPTIONS;
36.
A New Perspective on the Exact Solutions of the Local Fractional Modified Benjamin-Bona-Mahony Equation on Cantor Sets
作者:
Wang Kang-Jia
;
Shi Feng
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
local fractional derivative;
Mittag-Leffler function;
Yang's special function method;
cantor sets;
TRAVELING-WAVE SOLUTIONS;
37.
On the Validation of a Fractional Order Model for Pharmacokinetics Using Clinical Data
作者:
Mtshali Sinenhlanhla
;
Jacobs Byron A. A.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional compartmental model;
fractional pharmacokinetics;
LOPINAVIR;
CALCULUS;
RIFAMPIN;
38.
Abstract Impulsive Volterra Integro-Differential Inclusions
作者:
Du Wei-Shih
;
Kostic Marko
;
Velinov Daniel
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
multivalued linear operators;
(a;
k)-Regularized C-resolvent families;
abstract impulsive fractional integro-differential inclusions;
abstract impulsive higher-order Cauchy problems;
abstract impulsive Volterra integro-differential inclusions;
FRACTIONAL DIFFERENTIAL-EQUATIONS;
EXISTENCE;
39.
Characteristic Analysis and Circuit Implementation of a Novel Fractional-Order Memristor-Based Clamping Voltage Drift
作者:
Tian Huaigu
;
Liu Jindong
;
Wang ZhenXie FeiCao Zelin
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
memristor;
fractional-order;
dynamical analysis;
offset boosting;
circuit implementation;
CHAOTIC SYSTEM;
SYNCHRONIZATION;
ATTRACTOR;
40.
Fractional Transformation-Based Intelligent H-Infinity Controller of a Direct Current Servo Motor
作者:
Rahman Muhammad Zia Ur
;
Leiva Victor
;
Martin-Barreiro CarlosMahmood ImranUsman MuhammadRizwan Mohsin
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fixed-structured controllers;
H-infinity controller;
linear fractional transformation;
mayfly optimization;
non-smooth H-infinity optimization;
proportional derivative integral controller;
GENETIC ALGORITHM;
CONTROL DESIGN;
ROBUST;
DELAY;
41.
The Right Equivalent Integral Equation of Impulsive Caputo Fractional-Order System of Order e ? (1,2)
作者:
Zhang Xianmin
;
Liu Zuohua
;
Yang ShixianPeng ZumingHe YaliWei Liran
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
impulsive fractional differential equations;
equivalent integral equations;
general solution;
non-uniqueness of solution;
DIFFERENTIAL-EQUATIONS;
EVOLUTION-EQUATIONS;
GENERAL-SOLUTION;
EXISTENCE;
42.
Numerical Scheme for Singularly Perturbed Mixed Delay Differential Equation on Shishkin Type Meshes
作者:
Elango Sekar
;
Unyong Bundit
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional calculus;
mixed-delay differential equations;
finite difference scheme;
singular perturbation problems;
Shishkin mesh;
Bakhvalov-Shishkin mesh;
BOUNDARY-VALUE-PROBLEMS;
SMALL SHIFTS;
43.
Bifurcation Phenomenon and Control Technique in Fractional BAM Neural Network Models Concerning Delays
作者:
Li Peiluan
;
Lu Yuejing
;
Xu ChangjinRen Jing
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional BAM neural network models;
peculiarity of solution;
stability;
Hopf bifurcation;
delayed feedback controller;
HOPF-BIFURCATION;
ANTIPERIODIC SOLUTIONS;
STABILITY;
SYNCHRONIZATION;
EXPLORATION;
CRITERIA;
SYSTEM;
44.
Approximating the First Passage Time Density of Diffusion Processes with State-Dependent Jumps
作者:
DOnofrio Giuseppe
;
Lanteri Alessandro
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
first passage time problem;
Jacobi process;
simulation algorithm;
nonlocal operator;
Wright-Fisher model;
EXACT SIMULATION;
MODEL;
CONVERGENCE;
BEHAVIOR;
45.
Generalized Shifted Airfoil Polynomials of the Second Kind to Solve a Class of Singular Electrohydrodynamic Fluid Model of Fractional Order
作者:
Srivastava Hari M. M.
;
Izadi Mohammad
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
collocation points;
convergent analysis;
electrohydrodynamic flow;
Liouville-Caputo fractional derivative;
shifted airfoil polynomials;
singular ODEs;
strongly nonlinearity;
FLOW-ANALYSIS;
COLLOCATION METHOD;
EQUATIONS;
46.
Robust Efficiency Conditions in Multiple-Objective Fractional Variational Control Problems
作者:
Ritu
;
Treanta Savin
;
Agarwal DivyaSachdev Geeta
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
robust;
multi-dimensional control;
variational problem;
multiobjective;
robust optimality conditions;
robust weakly efficient solution;
OPTIMALITY;
DUALITY;
47.
High-Tracking-Precision Sensorless Control of PMSM System Based on Fractional Order Model Reference Adaptation
作者:
Niu Hongjie
;
Liu Ling
;
Jin DongsongLiu Siyuan
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
permanent-magnet synchronous motor;
fractional order;
model reference adaptive control;
model reference adaptive observer;
sensorless control;
adaptive identification;
48.
Unique Solvability of the Initial-Value Problem for Fractional Functional Differential Equations-Pantograph-Type Model
作者:
Dilna Natalia
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional order functional differential equations;
unique solvability;
Caputo derivative;
the model with a discrete memory effect;
the pantograph-type model from electrodynamics;
EXISTENCE;
49.
Relationships between Reference Evapotranspiration and Meteorological Variables in the Middle Zone of the Guadalquivir River Valley Explained by Multifractal Detrended Cross-Correlation Analysis
作者:
Gomez-Gomez Javier
;
Ariza-Villaverde Ana B. B.
;
de Rave Eduardo GutierrezJimenez-Hornero Francisco J.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
reference evapotranspiration;
persistence;
multifractal cross-correlations;
scaling exponents;
meteorological factors;
FLUCTUATION ANALYSIS;
TEMPERATURE;
SENSITIVITY;
SERIES;
50.
Mechanical Behaviors and Acoustic Emission Fractal Characteristics of Bump-Prone Coal under Different Loading Rates
作者:
Liu Bin
;
Sun Xiang
;
Ling ChunweiHuang ZujunZhang Hongwei
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
mechanical properties;
acoustic emission (AE);
coal;
loading rate;
spatial fractal;
DAMAGE;
EVOLUTION;
51.
Scaled Conjugate Gradient for the Numerical Simulations of the Mathematical Model-Based Monkeypox Transmission
作者:
Suantai Suthep
;
Sabir Zulqurnain
;
Umar MuhammadCholamjiak Watcharaporn
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
monkeypox virus system;
fractional;
artificial intelligence;
scaled conjugate gradient;
numerical solutions;
SYSTEMS;
52.
Fractional Stochastic Integro-Differential Equations with Nonintantaneous Impulses: Existence, Approximate Controllability and Stochastic Iterative Learning Control
作者:
Abuasbeh Kinda
;
Mahmudov Nazim I. I.
;
Awadalla Muath
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional calculus;
stochastic equation;
iterative learning control;
integro-differential systems;
DIFFERENTIAL-EQUATIONS;
SYSTEM;
53.
New Explicit Propagating Solitary Waves Formation and Sensitive Visualization of the Dynamical System
作者:
Zulqarnain Rana Muhammad
;
Ma Wen-Xiu
;
Eldin Sayed M. M.Mehdi Khush BukhtFaridi Waqas Ali
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
exact solitary wave structures;
Jacobi elliptic functions;
fractional complex Ginzburg-Landau equation;
phi(6)-model expansion method;
beta derivative;
sensitive analysis;
GINZBURG-LANDAU EQUATION;
F-EXPANSION METHOD;
OPTICAL SOLITONS;
DARK;
FIBERS;
54.
A Generalization of Poiseuille's Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface
作者:
Bouchendouka Abdellah
;
Fellah Zine El Abiddine
;
Larbi ZakariaOngwen Nicholas O.Ogam ErickFellah MohamedDepollier Claude
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
self-similar fluid;
noninteger dimensional spaces;
fractal tube surface;
Poiseuille's law;
surface fractal dimensions;
Navier-Stokes equations for fractal medium;
NONINTEGER DIMENSIONAL SPACE;
TRANSIENT ULTRASONIC WAVE;
POROUS MATERIAL;
VECTOR CALCULUS;
BLOOD-FLOW;
SUSPENSIONS;
VISCOSITY;
CONTINUUM;
MEDIA;
55.
Conservative Continuous-Stage Stochastic Runge-Kutta Methods for Stochastic Differential Equations
作者:
Li Xiuyan
;
Wang Zhenyu
;
Ma QiangDing Xiaohua
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
stochastic differential equations;
numerical analysis;
conserved quantity;
continuous-stage stochastic Runge-Kutta methods;
stochastic B-series;
ENERGY-PRESERVING INTEGRATORS;
FINITE-ELEMENT METHODS;
ROOTED TREE ANALYSIS;
ORDER CONDITIONS;
PROJECTION METHODS;
SCHEME;
CONSTRUCTION;
56.
On the Variable Order Fractional Calculus Characterization for the Hidden Variable Fractal Interpolation Function
作者:
Raja Valarmathi
;
Gowrisankar Arulprakash
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
hidden variable fractal interpolation function;
variable order;
Riemann-Liouville fractional calculus;
Weyl-Marchaud fractional derivative;
CONSTRUCTION;
57.
An epsilon-Approximate Approach for Solving Variable-Order Fractional Differential Equations
作者:
Wang Yahong
;
Wang Wenmin
;
Mei LiangcaiLin YingzhenSun Hongbo
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
VO-FDEs;
VO-FIDEs;
Sobolev space;
scale functions;
epsilon-approximate;
NUMERICAL-SOLUTION;
DIFFUSION;
58.
Fuzzy Analysis of Artificial Drug Transmission Model with Optimal Control
作者:
Murthy B. S. N.
;
Palencia Jose Luis Diaz
;
Madhusudanan V.Srinivas M. N.Gul NadiaZeb Anwar
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fuzzy parameters;
artificial drugs;
psychological addicts;
physiological addicts;
optimal control;
DYNAMICS;
STABILITY;
ABUSE;
59.
New Analytical Solutions for Time-Fractional Stochastic (3+1)-Dimensional Equations for Fluids with Gas Bubbles and Hydrodynamics
作者:
Alhamud Mohammed
;
Elbrolosy Mamdouh
;
Elmandouh Adel
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
time-fractional stochastic equation;
bifurcation analysis;
periodic solution;
solitary solution;
fractional stochastic solution;
NONLINEAR EQUATIONS;
LIQUID;
EVOLUTION;
60.
Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks
作者:
Bai Yunzhan
;
Yu Juan
;
Hu Cheng
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional order;
output coupling;
multiplex network;
quantized control;
adaptive synchronization;
STABILITY;
61.
On the Absorbing Problems for Wiener, Ornstein-Uhlenbeck, and Feller Diffusion Processes: Similarities and Differences
作者:
Giorno Virginia
;
Nobile Amelia G.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Wiener process;
Ornstein-Uhlenbeck process;
Feller process;
asymptotic average of the local time;
first-passage time and its moments;
62.
On Fractional Order Model of Tumor Growth with Cancer Stem Cell
作者:
Aliasghari Ghazaleh
;
Mesgarani Hamid
;
Nikan OmidAvazzadeh Zakieh
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
system of integro-differential equation;
fractional derivative;
tumor growth paradox;
cancer stem cell;
Mittag-Leffler function;
fixed-point theory;
EQUATION;
63.
Escape Criteria for Generating Fractals of Complex Functions Using DK-Iterative Scheme
作者:
Tassaddiq Asifa
;
Tanveer Muhammad
;
Azhar MuhammadArshad MuhammadLakhani Farha
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractals;
sine function;
exponential function;
DK-iteration;
Julia set (J-set);
Mandelbrot set (M-set);
JULIA SETS;
MANDELBROT;
BIOMORPHS;
64.
Construction of New Infinite-Series Exact Solitary Wave Solutions and Its Application to the Korteweg-De Vries Equation
作者:
Wu Guojiang
;
Guo Yong
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
hyperbolic function;
KDV equation;
nonlinear evolution equation;
infinite-series exact solitary wave solutions;
auxiliary equation;
NONLINEAR EVOLUTION-EQUATIONS;
ELLIPTIC FUNCTION EXPANSION;
EXTENDED TANH METHOD;
RICCATI EQUATION;
KDV EQUATION;
65.
Theoretical Analysis and Simulation of a Fractional-Order Compartmental Model with Time Delay for the Propagation of Leprosy
作者:
Iqbal Zafar
;
Ahmed Nauman
;
Macias-Diaz Jorge E. E.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional epidemic model;
leprosy infection with memory effects;
non-standard finite-difference scheme;
local and stability analyses;
numerical simulations;
EPIDEMIOLOGIC CONSEQUENCES;
NEURAL-NETWORK;
TUBERCULOSIS;
BIFURCATIONS;
66.
Modeling and Control of a Soft Robotic Arm Based on a Fractional Order Control Approach
作者:
Relano Carlos
;
Munoz Jorge
;
Monje Concepcion A.Martinez SantiagoGonzalez Daniel
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
soft robotics;
fractional order control;
modeling of soft robots;
control of soft robots;
DESIGN;
67.
On Averaging Principle for Caputo-Hadamard Fractional Stochastic Differential Pantograph Equation
作者:
Mouy Mounia
;
Boulares Hamid
;
Alshammari SalehAlshammari MohammadLaskri YaminaMohammed Wael W.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
averaging principle;
Caputo-Hadamard fractional derivative;
pantograph equations;
Khasminskii approach;
DYNAMICS;
68.
The Stability of Set-Valued Differential Equations with Different Initial Time in the Sense of Fractional-like Hukuhara Derivatives
作者:
Wang Peiguang
;
Bi Jiahui
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
set-value differential equations;
fractional-like Hukuhara derivatives;
different initial time;
Lipschitz stability;
practical stability;
PRACTICAL STABILITY;
EXISTENCE;
RESPECT;
69.
DAMNet: A Dual Adjacent Indexing and Multi-Deraining Network for Real-Time Image Deraining
作者:
Zhao Penghui
;
Zheng Haowen
;
Tang SuiguChen ZongrenLiang Yangyan
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
deraining model;
multi-deraining;
rain datasets;
rain removal;
convolutional neural network (CNN);
RAIN REMOVAL;
SURVEILLANCE;
STREAK;
70.
Fractional-Order System: Control Theory and Applications
作者:
Dinh Thach Ngoc
;
Kamal Shyam
;
Pandey Rajesh Kumar
期刊名称:
《fractal and fractional》
|
2023年第1期
71.
Some Compound Fractional Poisson Processes
作者:
Khandakar Mostafizar
;
Kataria Kuldeep Kumar
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Bell-Touchard process;
Poisson-logarithmic process;
Polya-Aeppli process;
compound Poisson process;
long-range dependence property;
72.
A New Intelligent Fractional-Order Load Frequency Control for Interconnected Modern Power Systems with Virtual Inertia Control
作者:
Zaid Sherif A.
;
Bakeer Abualkasim
;
Magdy GaberAlbalawi HaniKassem Ahmed M.El-Shimy Mohmed E.AbdelMeguid HossamManqarah Bassel
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
load frequency control;
intelligent fractional-order integral (iFOI) control;
grey wolf optimization (GWO);
renewable energy sources (REss);
interconnected modern power system;
virtual inertia control;
CONTROL STRATEGY;
PI CONTROLLERS;
DESIGN;
73.
Existence Results for Nonlinear Fractional Differential Inclusions via q-ROF Fixed Point
作者:
Shahid Lariab
;
Rashid Maliha
;
Azam AkbarAli Faryad
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
orthopair fuzzy sets;
q-rung orthopair fuzzy mapping;
fuzzy differential inclusion;
FUZZY MAPPINGS;
DERIVATIVES;
THEOREMS;
SYSTEM;
74.
Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative
作者:
Alkahtani Badr S.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
COVID-19;
Caputo operator;
qualitative analysis;
Newton interpolation;
RESPIRATORY SYNDROME;
75.
Non-Periodicity of Complex Caputo Like Fractional Differences
作者:
Feckan Michal
;
Danca Marius-F.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Mandelbrot map of fractional order;
Caputo-like discrete fractional difference;
non-periodicity;
NONEXISTENCE;
EXISTENCE;
STABILITY;
76.
Fourth-Order Numerical Solutions for a Fuzzy Time-Fractional Convection-Diffusion Equation under Caputo Generalized Hukuhara Derivative
作者:
Zureigat Hamzeh
;
Al-Smadi Mohammed
;
Al-Khateeb AreenAl-Omari ShridehAlhazmi Sharifah E.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fuzzy time-fractional equation;
convection-diffusion equation;
fuzzy Caputo gH-derivative;
finite difference methods;
implicit scheme method;
brownian motion;
DIFFERENCE APPROXIMATION;
77.
Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness
作者:
Shao Yihao
;
Yang Huai
;
Guo XiuyaWang HuiliZhu LimeiMa XuanChen RuijuanRuan ShufenRen LuluZheng Qian
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
thermal conductivity;
damaged tree-like branching network;
roughness;
heat convection;
HEAT-TRANSFER;
SURFACE-ROUGHNESS;
FLOW;
PERMEABILITY;
DIFFUSION;
78.
Topological Structure of Solution Sets of Fractional Control Delay Problem
作者:
Al Ghafli Ahmed A.
;
Shafqat Ramsha
;
Niazi Azmat Ullah KhanAbuasbeh KindaAwadalla Muath
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
mild solution;
control problem;
topological structure;
Caputo fractional derivative;
continuous function;
Banach spaces;
Laplace transform;
controllability;
continuous semigroup;
probability density function;
MILD SOLUTIONS;
DIFFERENTIAL-INCLUSIONS;
CONTROLLABILITY;
79.
A New Method for Controlling Fractional Linear Systems
作者:
Shastri Subramanian V.
;
Narendra Kumpati S.
;
Zheng Lihao
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional order derivative;
standard and fractional systems;
linear time-invariant;
feedback and feedforward compensation;
transfer function;
control performance and robustness;
CALCULUS;
INTEGRATORS;
80.
A Second-Order Crank-Nicolson-Type Scheme for Nonlinear Space-Time Reaction-Diffusion Equations on Time-Graded Meshes
作者:
Afolabi Yusuf O.
;
Biala Toheeb A.
;
Iyiola Olaniyi S.Khaliq Abdul Q. M.Wade Bruce A.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
predictor-corrector scheme;
Caputo fractional derivative;
nonlinear time-space fractional equation;
matrix transfer;
graded meshes;
FINITE-DIFFERENCE METHODS;
ERROR ANALYSIS;
COVID-19;
FORMULA;
SPREAD;
MODEL;
81.
Experimental Investigation of the Compaction-Crushing Characteristics of Graded Fractured Coal Gangue Based on Infill Mining
作者:
Pang Mingkun
;
Pan Hongyu
;
Yang ShihuaZhu ShipengZhang Tianjun
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
infill mining;
fractal characteristics;
crushed gangue;
compaction;
particle size fractal;
mechanical modelling;
COMPRESSION;
SANDSTONE;
ROCK;
PERFORMANCE;
MODEL;
82.
A Fractional-Order Telegraph Diffusion Model for Restoring Texture Images with Multiplicative Noise
作者:
Bai Xiangyu
;
Zhang Dazhi
;
Shi ShengzhuYao WenjuanGuo ZhichangSun Jiebao
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
multiplicative noise removal;
texture;
fractional-order;
telegraph diffusion;
PARTIAL-DIFFERENTIAL-EQUATIONS;
GRAY-LEVEL INDICATOR;
ANISOTROPIC DIFFUSION;
QUALITY ASSESSMENT;
SPECKLE REDUCTION;
REMOVAL;
ENHANCEMENT;
83.
Dynamic Feedforward-Based Fractional Order Impedance Control for Robot Manipulator
作者:
Ding Yixiao
;
Luo Ying
;
Chen Yangquan
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
robot manipulator;
fractional order impedance control;
dynamic feedforward control;
DESIGN;
84.
A New Contraction with an Application for Integral Equations
作者:
Sangurlu Sezen Muezeyyen
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
delta-contraction;
fractional integral equation;
fixed point;
FIXED-POINT THEOREMS;
METRIC-SPACES;
FUZZY;
85.
Spectra of Reduced Fractals and Their Applications in Biology
作者:
Pham Diana T. T.
;
Musielak Zdzislaw E. E.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractals;
reduced fractals;
spectra of reduced fractals;
self-similarity;
magnification;
biology;
green algae;
DIMENSIONS;
DYNAMICS;
TOOL;
86.
Subordination Properties of Certain Operators Concerning Fractional Integral and Libera Integral Operator
作者:
Oros Georgia Irina
;
Oros Gheorghe
;
Owa Shigeyoshi
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
analytic function;
libera integral operator;
fractional integral of order lambda;
differential subordination;
strongly of order alpha;
DIFFERENTIAL SUBORDINATIONS;
UNIVALENT;
CONVEX;
ORDER;
STARLIKE;
87.
Applications of the Neutrosophic Poisson Distribution for Bi-Univalent Functions Involving the Modified Caputo's Derivative Operator
作者:
Santhiya S.
;
Thilagavathi K.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Bi-univalent functions;
neutrosophic Poisson distribution;
modified Caputo's derivative operator;
Bazilevic functions;
mu-pseudo-starlike functions;
(G;
H) Lucas polynomial;
SUBCLASSES;
88.
On Implicit Coupled Hadamard Fractional Differential Equations with Generalized Hadamard Fractional Integro-Differential Boundary Conditions
作者:
Guo Limin
;
Riaz Usman
;
Zada AkbarAlam Mehboob
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
Hadamard fractional derivative;
coupled systems;
boundary value problem;
existence of solutions;
Ulam stability;
HYERS-ULAM STABILITY;
89.
The First Integral of the Dissipative Nonlinear Schrodinger Equation with Nucci's Direct Method and Explicit Wave Profile Formation
作者:
Abu Bakar Muhammad
;
Owyed Saud
;
Faridi Waqas AliAbd El-Rahman MagdaSallah Mohammed
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
first integral;
Nucci's direct reduction method;
nonlinear dissipative Schrodinger model;
new direct extended algebraic method (NDEAM);
analytical solitary wave solutions;
SOLITON;
90.
Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces
作者:
Kadyan Anshuka
;
Rathee Savita
;
Kumar AnilRani AshaTas Kenan
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
b-metric spaces;
generalized metric spaces;
v-generalized b-metric spaces;
THEOREMS;
BANACH;
91.
Fractional-Order PID Controller Based on Immune Feedback Mechanism for Time-Delay Systems
作者:
Makhbouche Adel
;
Boudjehem Badreddine
;
Birs IsabelaMuresan Cristina I.
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional-order PID;
immune feedback mechanism;
genetic algorithm;
time-delay system;
DESIGN;
92.
Neutral-Type and Mixed Delays in Fractional-Order Neural Networks: Asymptotic Stability Analysis
作者:
Popa Calin-Adrian
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional-order neural networks (FONNs);
neutral-type delays;
distributed delays;
mixed delays;
asymptotic stability;
MITTAG-LEFFLER SYNCHRONIZATION;
FINITE-TIME;
DISCONTINUOUS ACTIVATION;
CRITERIA;
93.
Metaheuristic Solution for Stability Analysis of Nonlinear Systems Using an Intelligent Algorithm with Potential Applications
作者:
Hamidi Faical
;
Jerbi Houssem
;
Alharbi HadeelLeiva VictorPopescu DumitruRajhi Wajdi
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional differential equations;
fractional systems;
heuristic algorithms;
Jaya algorithm;
linear matrix inequalities;
Lyapunov theory;
nonlinear systems;
optimization methods;
stability;
LYAPUNOV FUNCTIONS;
EPIDEMIC MODEL;
ATTRACTION;
DOMAIN;
STABILIZATION;
OPTIMIZATION;
DYNAMICS;
SUBJECT;
DESIGN;
SOS;
94.
Fractional Order Model Identification of a Person with Parkinson's Disease for Wheelchair Control
作者:
Ivanescu Mircea
;
Dumitrache Ioan
;
Popescu NirvanaPopescu Decebal
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
human fractional order model;
control system;
stability;
CROSSOVER MODEL;
INFORMATION;
COMPLEXITY;
DYNAMICS;
MEMORY;
95.
Analyzing Asymmetric Volatility and Multifractal Behavior in Cryptocurrencies Using Capital Asset Pricing Model Filter
作者:
Lee Minhyuk
;
Cho Younghwan
;
Ock Seung EunSong Jae Wook
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
multifractal detrended fluctuation analysis;
capital asset pricing model filter;
idiosyncratic risk premium;
asymmetric volatility;
asymmetric multifractality;
FLUCTUATION ANALYSIS;
MOVING AVERAGE;
MARKETS;
96.
New Results for Homoclinic Fractional Hamiltonian Systems of Order alpha is an element of (1/2,1
作者:
Moumen Abdelkader
;
Boulares Hamid
;
Alzabut JehadKhelifi FathiImsatfia Moheddine
期刊名称:
《fractal and fractional》
|
2023年第1期
关键词:
fractional Hamiltonian systems;
Mountain Pass Theorem;
genus properties critical point;
EXISTENCE;
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