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Fractal and Fractional

中文名称：分形和分数

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1.LMI Criteria for Admissibility and Robust Stabilization of Singular Fractional-Order Systems Possessing Poly-Topic Uncertainties

机译：LMI标准可容许和稳健稳定的单数分数级系统，具有多主题不确定性
- 作者：Xuefeng Zhang;Jia Dong
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- fractional-order systemsstability criteriaadmissibilityrobust stabilizationlinear matrix inequalities (LMIs);
2.Optimal Modelling of (1 + α) Order Butterworth Filter under the CFE Framework

机译：CFE框架下（1 +α）秩序Butterworth滤波器的最佳建模
- 作者：Shibendu Mahata;Rajib Kar;Durbadal Mandal
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- biquadratic approximationButterworth filtercontinued fraction expansioncurrent feedback operational amplifierfractional-order filter designoptimization;
3.Generalized Integral Inequalities of Chebyshev Type

机译：Chebyshev类型的广义整体不等式
- 作者：Paulo M. Guzmán;Péter Kórus;Juan E. Nápoles Valdés
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- Chebyshev inequalityintegral inequalityfractional calculus;
4.Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds

机译：脉冲分数状差分方程：关于H形歧管的实际稳定性和界限
- 作者：Gani Stamov;Anatoliy Martynyuk;Ivanka Stamova
- 期刊名称：《Fractal and Fractional》 | 2019年第4期
- fractional-like derivativeimpulsespractical stabilityboundednessh-manifolds;
5.On Some Formulas for the k-Analogue of Appell Functions and Generating Relations via k-Fractional Derivative

机译：关于Appell函数的K样品的一些公式，通过K分数衍生物产生关系
- 作者：?vgü Gürel Y?lmaz;Rabia Akta?;Fatma Ta?delen
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- k-gamma functionk-beta functionPochhammer symbolhypergeometric functionAppell functionsintegral representationreductiontransformation formulafractional derivativegenerating function;
6.Fractal, Scale Free Electromagnetic Resonance of a Single Brain Extracted Microtubule Nanowire, a Single Tubulin Protein and a Single Neuron

机译：分形，单个脑的自由电磁共振，含有单细胞瘤，单细胞蛋白蛋白和单一神经元
- 作者：Komal Saxena;Pushpendra Singh;Pathik Sahoo;Satyajit Sahu;Subrata Ghosh;Kanad Ray;Daisuke Fujita;Anirban Bandyopadhyay
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- microtubuleneuronelectromagnetic resonanceantennareceiverproteinfractalimpedance spectroscopytransmission spectrumreflectance spectrum;
7.Multi-Point and Anti-Periodic Conditions for Generalized Langevin Equation with Two Fractional Orders

机译：具有两个分数令的广义Langevin方程的多点和反周期条件
- 作者：Ahmed Salem;Balqees Alghamdi
- 期刊名称：《Fractal and Fractional》 | 2019年第4期
- Generalized Langevin equationKrasnoselskii-Zabreiko’sLeray-Schauder fixed point theoremsanti-periodicmulti-point conditionsExistenceuniqueness;
8.Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions

机译：以居中多边形功能为填充的朱莉娅集的探索
- 作者：L.K. Mork;Trenton Vogt;Keith Sullivan;Drew Rutherford;Darin J. Ulness
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- fractalsJulia setslacunary functionsMelbrot setscentered polygonal numbersiterative dynamics;
9.Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

机译：通过指数凸起函数对分数方法有关的不等式
- 作者：Saima Rashid;Muhammad Aslam Noor;Khalida Inayat Noor
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- convex functionexponentially-convex functionsRiemann-Liouville fractional integralsHermite-Hadamard inequalitypower-mean inequality;
10.Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces

机译：通过涉及Banach空间的电源内核的分数运算符的非局部Cauchy问题
- 作者：Ay?egül Keten;Mehmet Yavuz;Dumitru Baleanu
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- existence-uniqueness conditionsnonlocal Cauchy problemCaputo–Fabrizio fractional derivativeBanach space;
11.Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives

机译：广义分数阶衍生物描述的分数质量弹簧阻尼系统
- 作者：Ndolane Sene;José Francisco Gómez Aguilar
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- mass-spring-damper systemsLiouville–Caputo generalized fractional derivativeleft generalized fractional derivativeglobal asymptotic stability;
12.Kinetic Model for Drying in Frame of Generalized Fractional Derivatives

机译：广义分数衍生物框架中干燥的动力学模型
- 作者：Ramazan Ozarslan;Erdal Bas
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- drying kineticsLewis modelCaputogeneralized fractional derivative;
13.Existence Theorems for Mixed Riemann–Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions

机译：混合黎曼 - 荔枝和Caputo分数微分方程的存在定理和非识别数分数差分边界条件的夹杂物
- 作者：Sotiris K. Ntouyas;Ahmed Alsaedi;Bashir Ahmad
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- fractional derivativesfractional integralboundary value problemsexistenceuniquenessfixed-point theorems;
14.On the Fractional Maximal Delta Integral Type Inequalities on Time Scales

机译：在时间尺度上的分数最大delta积分类型不等式
- 作者：Lütfi Ak?n
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- operator theorytime scalesintegral inequalities;
15.Solving Helmholtz Equation with Local Fractional Derivative Operators

机译：用局部分数衍生算子求解亥姆霍兹方程
- 作者：Dumitru Baleanu;Hassan Kamil Jassim;Maysaa Al Qurashi
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- coupled Helmholtz equationlocal fractional variational iteration methodlocal fractional Laplace transform (LFLT);
16.Characterization of the Local Growth of Two Cantor-Type Functions

机译：表征局部增长的两个唱型功能
- 作者：Dimiter Prodanov
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- singular functionsH?lder classesdifferentiabilityfractional velocitySmith–Volterra–Cantor set;
17.Tempered Fractional Equations for Quantum Transport in Mesoscopic One-Dimensional Systems with Fractal Disorder

机译：具有分形疾病的介术一维系统中量子输送的升温分数方程
- 作者：Renat T. Sibatov;HongGuang Sun
- 期刊名称：《Fractal and Fractional》 | 2019年第4期
- fractalquantum wireanomalous diffusiontempered fractional equationstable lawweak scatteringtunnelingconductance;
18.Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses

机译：具有非瞬时随机erlang分布脉冲的Caputo分数微分方程
- 作者：Snezhana Hristova;Krasimira Ivanova
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- impulsive fractional differential equationsrom moments of impulsesnon-instantaneous impulsesErlang distributionp-moment exponential stability;
19.Fractal Dimensions of Cell Wall in Growing Cotton Fibers

机译：种植棉纤维中细胞壁的分形尺寸
- 作者：Michael Ioelovich
- 期刊名称：《Fractal and Fractional》 | 2020年第1期
- cotton fibersgrowthcell wallspecific pore volumeapparent densityfractal dimension;
20.Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions

机译：具有非本体Hadamard类型积分边界条件的Caputo-Hadamard分数微分方程耦合系统的存在和唯一性结果
- 作者：Shorog Aljoudi;Bashir Ahmad;Ahmed Alsaedi
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- Caputo-Hadamard fractional derivativecoupled systemHadamard fractional integralboundary conditionsexistence;
21.A New Reproducing Kernel Approach for Nonlinear Fractional Three-Point Boundary Value Problems

机译：一种新的非线性分数三点边值问题的再现核方法
- 作者：Mehmet Giyas Sakar;Onur Sald?r
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- shifted Legendre polynomialsreproducing kernel methodvariable coefficientCaputo derivativethree-point boundary value problem;
22.A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points

机译：对称点互核阶数的多价函数的亚颗子的标准
- 作者：Shahid Mahmood;Hari Mohan Srivastava;Muhammad Arif;Fazal Ghani;Eman S. A. AbuJarad
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- multivalent functionsstarlike functionsclose-to-convex functions;
23.On Extended General Mittag–Leffler Functions and Certain Inequalities

机译：延长普通米特 - 利用赛函数和某些不等式
- 作者：Marcela V. Mihai;Muhammad Uzair Awan;Muhammad Aslam Noor;Tingsong Du;Artion Kashuri;Khalida Inayat Noor
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- co-ordinated convex functionHermite–Hadamard inequalitiesMittag–Leffler function;
24.Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions

机译：涉及非局部多点混合非线性的分数微分方程，riemann-stieltjes积分多条带条件
- 作者：Bashir Ahmad;Ahmed Alsaedi;Sara Salem;Sotiris K. Ntouyas
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- fractional differential equationmixed nonlinearitiesmulti-pointintegral boundary conditionsexistencefixed point;
25.Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

机译：通过再生核法测定分数讨论与Dirichlet和Neumann边界条件的数值解
- 作者：Onur Sald?r;Mehmet Giyas Sakar;Fevzi Erdogan
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- Burgers’ equationreproducing kernel methoderror estimateDirichletNeumann boundary conditionsCaputo derivative;
26.Multi-Term Fractional Differential Equations with Generalized Integral Boundary Conditions

机译：具有广义整体边界条件的多术分数微分方程
- 作者：Bashir Ahmad;Madeaha Alghanmi;Ahmed Alsaedi;Sotiris K. Ntouyas
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- Caputo fractional derivativemulti-order fractional differential equationsgeneralized fractional integralexistencefixed point;
27.On Analytic Functions Involving the q-Ruscheweyeh Derivative

机译：关于Q-Ruscheweyh衍生品的分析功能
- 作者：Khalida Inayat Noor
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- univalentq-starlikeq-difference operatorsubordination;
28.A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets

机译：求解亥姆霍兹求解亥姆霍兹和Cantor Selmholtz方程的修改分数同型扰动方法
- 作者：Dumitru Baleanu;Hassan Kamil Jassim
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- Helmholtz equationlocal fractional homotopy perturbation methodlocal fractional Laplace transformlocal fractional derivative operator;
29.Fractional-Order Models for Biochemical Processes

机译：生物化学过程的分数级模型
- 作者：Eva-H. Dulf;Dan C. Vodnar;Alex Danku;Cristina-I. Muresan;Ovidiu Crisan
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- biochemical processfractional order modeloptimization;
30.Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

机译：同型扰动ρ-拉普拉斯变换方法及其在分数扩散方程及分数扩散 - 反应方程的应用
- 作者：Ndolane Sene;Aliou Niang Fall
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- fractional diffusion equatiionfractional diffusion-reaction equationCaputo generalized fractional derivativeapproximate solution;
31.Fractal Image Interpolation: A Tutorial and New Result

机译：分形图像插值：教程和新结果
- 作者：Chi Wah Kok;Wing Shan Tam
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- image interpolationsuper-resolutionfractal;
32.Analysis of Fractional Order Chaotic Financial Model with Minimum Interest Rate Impact

机译：利率最低影响分数秩序混沌金融模型
- 作者：Muhammad Farman;Ali Akgül;Dumitru Baleanu;Sumaiyah Imtiaz;Aqeel Ahmad
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- chaotic financefractional calculusAtangana-Baleanu derivativeuniqueness of the solutionfixed point theory;
33.Fractional SIS Epidemic Models

机译：分数SIS疫情模型
- 作者：Caterina Balzotti;Mirko D’Ovidio;Paola Loreti
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- α-SIS modelSIS modelepidemic modelsfractional logistic equation;
34.Non-Differentiable Solution of Nonlinear Biological Population Model on Cantor Sets

机译：CANTOR套装非线性生物群体模型的非分散解决方案
- 作者：Djelloul Ziane;Mountassir Hamdi Cherif;Dumitru Baleanu;Kacem Belghaba
- 期刊名称：《Fractal and Fractional》 | 2020年第1期
- local fractional homotopy analysis methodnonlinear biological population model Local fractional derivativenon-differentiable solution;
35.The Fractal Calculus for Fractal Materials

机译：分形材料的分形微分
- 作者：Fakhri Khajvand Jafari;Mohammad Sadegh Asgari;Amir Pishkoo
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- fractalfractal dimensionfractal calculusstaircase function;
36.Power Law Type Long Memory Behaviors Modeled with Distributed Time Delay Systems

机译：电力法类型具有分布式时间延迟系统建模的长存储行为
- 作者：Jocelyn Sabatier
- 期刊名称：《Fractal and Fractional》 | 2020年第1期
- power law behaviorsdistributed time delay systemsfractional modelslithium-ion batteries;
37.Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

机译：二维riesz空间分数扩散方程中的参数识别
- 作者：Rafa? Brociek;Agata Chmielowska;Damian S?ota
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- fractional derivativefractional differential equationinverse problemparameter identificationtwo-dimensional differential equation;
38.Partially Penetrated Well Solution of Fractal Single-Porosity Naturally Fractured Reservoirs

机译：部分穿透的分形单孔隙率自然裂缝储存器
- 作者：Ricardo Posadas-Mondragón;Rodolfo G. Camacho-Velázquez
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- fractal analytical solutionpartially penetrated wellsingle-porositynaturally fractured reservoirwell test analysis;
39.Green’s Function Estimates for Time-Fractional Evolution Equations

机译：绿色的函数估计时间分 - 演化方程
- 作者：Ifan Johnston;Vassili Kolokoltsov
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- Caputo derivativeGreen’s functionAronson estimatestwo-sided estimatesfractional evolution;
40.On Some Generalized Fractional Integral Inequalities for p-Convex Functions

机译：关于P-CONVEX功能的一些广义分数整体不等式
- 作者：Seren Sala?;Yeter Erda?;Tekin Toplu;Erhan Set
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- p-convex functionHermite–Hadamard inequalityfractional integral operator;
41.Study of Fractal Dimensions of Microcrystalline Cellulose Obtained by the Spray-Drying Method

机译：喷雾干燥法得到微晶纤维素分形尺寸的研究
- 作者：Michael Ioelovich
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- microcrystalline cellulose (MCC)spray-dryingMCC beadsspecific pore volumeapparent densityfractal dimension;
42.Realization of Cole–Davidson Function-Based Impedance Models: Application on Plant Tissues

机译：基于COLE-Davidson功能的阻抗模型的实现：植物组织的应用
- 作者：Stavroula Kapoulea;Costas Psychalinos;Ahmed S. Elwakil
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- Cole–Davidson functiondielectric relaxation modelscurve fitting approximationcauer networksfoster networks;
43.Parametric Identification of Nonlinear Fractional Hammerstein Models

机译：非线性分数Hammerstein模型的参数识别
- 作者：Vineet Prasad;Kajal Kothari;Utkal Mehta
- 期刊名称：《Fractal and Fractional》 | 2020年第1期
- Nonlinear Hammerstein modelfractional-orderblock pulse functionsoperational matrix;
44.Transition from Diffusion to Wave Propagation in Fractional Jeffreys-Type Heat Conduction Equation

机译：从扩散到分数Jeffreys型热传导方程中的波动传播的转变
- 作者：Emilia Bazhlekova;Ivan Bazhlekov
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- Riemann–Liouville fractional derivativeJeffreys’ constitutive modelgeneralized diffusion-wave equationMittag–Leffler functionBernstein function;
45.Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions

机译：旋转对称的空隙功能和居中的多边形拉瓦里功能
- 作者：L. K. Mork;Keith Sullivan;Trenton Vogt;Darin J. Ulness
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- lacunary functiongap functioncentered polygonal numbersnatural boundarysingularitiesrenormalization;
46.Generalized Differentiability of Continuous Functions

机译：连续功能的广义可分性
- 作者：Dimiter Prodanov
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- fractalsSmith–Volterra–Cantor setCantor functionsdifferentiable functionsLipschitz (H?lder) classes;
47.Fractional-Order Derivatives Defined by Continuous Kernels: Are They Really Too Restrictive?

机译：由连续内核定义的分数阶衍生物：它们真的过于限制吗？
- 作者：Jocelyn Sabatier
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- fractional derivativecontinuous kernelVolterra equationfractional models’ initializationdistributed time delay systems;
48.Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions

机译：福克斯赖特类型的特殊功能的整体陈述和代数分解
- 作者：Dimiter Prodanov
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- Wright functionGamma functionBeta functionfractional calculusErdélyi-Kober operators;
49.Dispersive Transport Described by the Generalized Fick Law with Different Fractional Operators

机译：具有不同分数运营商的广义Fick法描述的分散运输
- 作者：Renat T. Sibatov;HongGuang Sun
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- anomalous diffusionfractional equationdispersive transporttime-of-flight experiment;
50.Functional Differential Equations Involving the ψ-Caputo Fractional Derivative

机译：涉及Ⅳ-caputo分数衍生物的功能微分方程
- 作者：Ricardo Almeida
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- fractional calculusfractional functional equations;
51.Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

机译：通过代码表示，内在的公制公式在一些自相似集上
- 作者：Melis Güneri;Mustafa Saltan
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- Sierpinski gasketself-similar setscode representationintrinsic metric;
52.Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings

机译：分形弦中阻尼波方程和耗散波方程的近似解
- 作者：Dumitru Baleanu;Hassan Kamil Jassim
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- LFDOsLFLVIMLFLDMdamped wave equationdissipative wave equation;
53.Comb Model with Non-Static Stochastic Resetting and Anomalous Diffusion

机译：具有非静态随机重置和异常扩散的梳状模型
- 作者：Maike Antonio Faustino dos Santos
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- diffusion modelsanomalous diffusionnon-static stochastic processcomb model;
54.A Fractional Measles Model Having Monotonic Real Statistical Data for Constant Transmission Rate of the Disease

机译：具有单调真实统计数据的分数麻疹模型，用于恒定传输速率
- 作者：Ricardo Almeida;Sania Qureshi
- 期刊名称：《Fractal and Fractional》 | 2019年第4期
- non-integer calculusepidemiological modelsnumerical simulations;
55.Fractal Logistic Equation

机译：分形物流方程式
- 作者：Alireza Khalili Golmankhaneh;Carlo Cattani
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- fractal calculusfractal difference equationsfractal logistic functionfractal logistic equation;
56.Transition from Diffusion to Wave Propagation in Fractional Jeffreys-Type Heat Conduction Equation

机译：从扩散到分数jeffreys型热传导方程中的波传播的转变
- 作者：Emilia Bazhlekova;Ivan Bazhlekov
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- Riemann–Liouville fractional derivativeJeffreys’ constitutive modelgeneralized diffusion-wave equationMittag–Leffler functionBernstein function;
57.Two Stage Implicit Method on Hexagonal Grids for Approximating the First Derivatives of the Solution to the Heat Equation

机译：六边形网格上的两个阶段隐含方法，用于近似溶液对热方程的第一衍生物
- 作者：Suzan Cival Buranay;Ahmed Hersi Matan;Nouman Arshad
- 期刊名称：《Fractal and Fractional》 | 2021年第1期
- finite difference methodhexagonal gridstability analysistwo dimensional heat equationapproximation of derivatives;
58.Fractal, Scale Free Electromagnetic Resonance of a Single Brain Extracted Microtubule Nanowire, a Single Tubulin Protein and a Single Neuron

机译：分形，单个脑的无间距电磁共振提取的微管纳米线，单个小管蛋白和单一神经元
- 作者：Komal Saxena;Pushpendra Singh;Pathik Sahoo;Satyajit Sahu;Subrata Ghosh;Kanad Ray;Daisuke Fujita;Anirban Bandyopadhyay
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- microtubuleneuronelectromagnetic resonanceantennareceiverproteinfractalimpedance spectroscopytransmission spectrumreflectance spectrum;
59.Analytic Fuzzy Formulation of a Time-Fractional Fornberg–Whitham Model with Power and Mittag–Leffler Kernels

机译：带有电力和Mittag-Leffler仁的时间分数福尔格 - WHITHAM模型的分析模糊制剂
- 作者：Saima Rashid;Rehana Ashraf;Ahmet Ocak Akdemir;Manar A. Alqudah;Thabet Abdeljawad;Mohamed S. Mohamed
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- Elzaki transformHukuhara differenceCaputo fractional derivativeAtangana–Baleanu fractional derivative operatorMittag–Leffler kernelFornberg–Whitham equation;
60.Fractal Logistic Equation

机译：分形物流方程式
- 作者：Alireza Khalili Golmankhaneh;Carlo Cattani
- 期刊名称：《Fractal and Fractional》 | 2019年第3期
- fractal calculusfractal difference equationsfractal logistic functionfractal logistic equation;
61.Novel Complex Wave Solutions of the (2+1)-Dimensional Hyperbolic Nonlinear Schr?dinger Equation

机译：（2 + 1） - 二维双曲非线性非线性SCHR的新型复杂波解？Dinger方程
- 作者：Hulya Durur;Esin Ilhan;Hasan Bulut
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- the ( m + 1G ′)-expansion methodthe (2+1)-dimensional hyperbolic nonlinear Schr?dinger equationperiodic and singular complex wave solutionstraveling waves solutions;
62.Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration

机译：具有Gerasimov-Caputo型操作员和变性的局部微分方程的逆问题
- 作者：Tursun K. Yuldashev;Bakhtiyar J. Kadirkulov
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- inverse problemGerasimov–Caputo-type fractional operatorredefinition functiondegenerationintegral form conditionone value solvability;
63.Subdiffusive Reaction Model of Molecular Species in Liquid Layers: Fractional Reaction-Telegraph Approach

机译：液体层中分子种类的沉淀反应模型：分数反应电报方法
- 作者：Ashraf M. Tawfik;Mohamed Mokhtar Hefny
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- anomalous diffusionfractional calculuscold atmospheric plasmaplasma with liquids;
64.Fractional-Order Models for Biochemical Processes

机译：生物化学过程的分数级模型
- 作者：Eva-H. Dulf;Dan C. Vodnar;Alex Danku;Cristina-I. Muresan;Ovidiu Crisan
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- biochemical processfractional order modeloptimization;
65.A Characterization of the Dynamics of Schr?der’s Method for Polynomials with Two Roots

机译：SCHR的动态的表征与两个根多项式的多项式方法
- 作者：Víctor Galilea;José M. Gutiérrez
- 期刊名称：《Fractal and Fractional》 | 2021年第1期
- Schr?der’s methodbasin of attractionnonlinear equation;
66.On Analytic Functions Involving the q -Ruscheweyeh Derivative

机译：关于Q-Ruscheweyh衍生品的分析功能
- 作者：Khalida Inayat Noor
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- univalentq -starlikeq -difference operatorsubordination;
67.On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives

机译：用分数形容衍生物求解线性积分微分方程的操作方法方法
- 作者：Batirkhan Kh. Turmetov;Kairat I. Usmanov;Kulzina Zh. Nazarova
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- integro-differential equationfractional derivativesfractional conformable derivativesnormalized systems methodexplit solutionsMittag–Leffler funtionsparticular solutionCauchy problem;
68.Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

机译：通过准C分子的非零模量Dixon椭圆函数的Hankel决定簇
- 作者：Rathinavel Silambarasan;Adem K?l??man
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- Dixon elliptic functionsSumudu transformHankel determinantscontinued fractionsquasi C fractions;
69.Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

机译：通过有限元方法使用杂交纳米粒子使用杂化纳米颗粒增强热能和溶质颗粒，通过有限元接近使用抛物面表面
- 作者：Yu-Ming Chu;Umar Nazir;Muhammad Sohail;Mahmoud M. Selim;Jung-Rye Lee
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- mathematical modelingordinary and partial differential equationsparametric investigationfinite element techniquegrid independent investigationthermal enhancement;
70.Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions

机译：旋转对称的选择性功能和居中的多边形空隙功能
- 作者：L. K. Mork;Keith Sullivan;Trenton Vogt;Darin J. Ulness
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- lacunary functiongap functioncentered polygonal numbersnatural boundarysingularitiesrenormalization;
71.An Experimental Approach towards Motion Modeling and Control of a Vehicle Transiting a Non-Newtonian Environment

机译：一种运输非牛顿环境的车辆运动建模与控制的实验方法
- 作者：Isabela Birs;Cristina Muresan;Ovidiu Prodan;Silviu Folea;Clara Ionescu
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- non-Newtonian dynamicsfractional order modeling and controltargeted drug deliverysubmerged position control;
72.On the Connectivity Measurement of the Fractal Julia Sets Generated from Polynomial Maps: A Novel Escape-Time Algorithm

机译：关于多项式地图生成的分形朱莉娅集的连通性测量：一种新型逃生时间算法
- 作者：Yang Zhao;Shicun Zhao;Yi Zhang;Da Wang
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- fractalsJulia setsescape-time algorithmconnectivity;
73.Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions

机译：具有多点和整体条件的非线性一阶差分边界问题
- 作者：Misir J. Mardanov;Yagub A. Sharifov;Yusif S. Gasimov;Carlo Cattani
- 期刊名称：《Fractal and Fractional》 | 2021年第1期
- existence and uniquenessODEmultipoint and integral boundary conditionsBanach contraction mapGreen functionSchaefer fixed point;
74.Generalized Cauchy Process: Difference Iterative Forecasting Model

机译：广义Cauchy进程：差异迭代预测模型
- 作者：Jie Xing;Wanqing Song;Francesco Villecco
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- generalized cauchy processlong-range dependentdifference iterative forecasting modelHurst parameterfractal dimensionwind speed forecasting;
75.A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation

机译：用于参数自适应模糊逻辑动态随机分数次搜索的新方法
- 作者：Marylu L. Lagunes;Oscar Castillo;Fevrier Valdez;Jose Soria;Patricia Melin
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- fractal searchfuzzy logicparameter adaptationCEC 2017;
76.Fox H -Functions in Self-Consistent Description of a Free-Electron Laser

机译：Fox H自由电子激光器的自我一致描述中的罚款
- 作者：Alexander Iomin
- 期刊名称：《Fractal and Fractional》 | 2021年第4期
- Volterra type equationCaputo–Fabrizio fractional derivativeLaplace transformfree-electron laserFox H-function;
77.New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

机译：通过适形分数运算符对指数凸起函数的新估计
- 作者：Saima Rashid;Muhammad Aslam Noor;Khalida Inayat Noor
- 期刊名称：《Fractal and Fractional》 | 2019年第2期
- convex functionexponential convex functionHermite–Hadamard inequalityα-fractionalintegral inequalities;
78.Generalized Integral Inequalities of Chebyshev Type

机译：Chebyshev类型的广义整体不等式
- 作者：Paulo M. Guzmán;Péter Kórus;Juan E. Nápoles Valdés
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- Chebyshev inequalityintegral inequalityfractional calculus;
79.Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions

机译：具有积分 - 多点 - 多点边界条件的分数阶单值和多价值问题的存在结果
- 作者：Sotiris K. Ntouyas;Bashir Ahmad;Ahmed Alsaedi
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- differential equation and inclusionboundary value problemfractional derivativefractional integralfixed point theoremmulti-valued map;
80.Fractal and Fractional Derivative Modelling of Material Phase Change

机译：物质相变的分形和分数衍生建模
- 作者：Harry Esmonde
- 期刊名称：《Fractal and Fractional》 | 2020年第3期
- complex modulusphasefrequency response functionmeltinggel pointsqueeze film;
81.Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

机译：几乎扇区运算符分析HILFER分数积分微分方程
- 作者：Kulandhaivel Karthikeyan;Amar Debbouche;Delfim F. M. Torres
- 期刊名称：《Fractal and Fractional》 | 2021年第1期
- Hilfer fractional derivativesmild solutionsalmost sectorial operatorsmeasure of non-compactness;
82.Fractional Derivatives and Dynamical Systems in Material Instability

机译：物质不稳定的分数衍生物和动力系统
- 作者：Peter B. Béda
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- fractional derivativesdynamical systembifurcation;
83.Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations

机译：Lipschitz及时稳定，riemann-liouville分数微分方程
- 作者：Snezhana Hristova;Stepan Tersian;Radoslava Terzieva
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- Riemann–Liouville fractional derivativedifferential equationsLipschitz stability in time;
84.A Collocation Method Based on Discrete Spline Quasi-Interpolatory Operators for the Solution of Time Fractional Differential Equations

机译：基于离散花键准插值运算符的搭配方法，用于解决时间分数分数方程
- 作者：Enza Pellegrino;Laura Pezza;Francesca Pitolli
- 期刊名称：《Fractal and Fractional》 | 2021年第1期
- fractional differential equationquasi-interpolatory operatorcollocation methodB-spline;
85.Admissibility of Fractional Order Descriptor Systems Based on Complex Variables: An LMI Approach

机译：基于复杂变量的分数阶描述符系统的可容许性：LMI方法
- 作者：Xuefeng Zhang;Yuqing Yan
- 期刊名称：《Fractal and Fractional》 | 2020年第1期
- fractional order systems (FOS)singular fractional order systems (SFOS)admissibilitycontrolLMIs;
86.Pseudo-Likelihood Estimation for Parameters of Stochastic Time-Fractional Diffusion Equations

机译：随机时间分数扩散方程参数的伪似然估计
- 作者：Guofei Pang;Wanrong Cao
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- parameter estimationstochastic PDEfractional diffusionfractional derivativemaximum likelihood estimationpseudo-likelihood approach;
87.Some Double Generalized Weighted Fractional Integral Inequalities Associated with Monotone Chebyshev Functionals

机译：与单调Chebyshev功能相关的一些双通遍的加权成分不等式
- 作者：Gauhar Rahman;Saud Fahad Aldosary;Muhammad Samraiz;Kottakkaran Sooppy Nisar
- 期刊名称：《Fractal and Fractional》 | 2021年第4期
- measurable functionChebyshev functionalsintegral inequalitiesmonotoneweighted fractional integral;
88.Numerical Solutions for Systems of Fractional and Classical Integro-Differential Equations via Finite Integration Method Based on Shifted Chebyshev Polynomials

机译：基于移位的Chebyshev多项式的有限积分法的分数和经典积分微分方程系统数值解
- 作者：Ampol Duangpan;Ratinan Boonklurb;Matinee Juytai
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- finite integration methodshifted Chebyshev polynomialCaputo fractional derivativesystem of fractional integro-differential equationssystem of classical integro-differential equations;
89.Study of Fractal Dimensions of Microcrystalline Cellulose Obtained by the Spray-Drying Method

机译：喷雾干燥方法获得的微晶纤维素分形尺寸的研究
- 作者：Michael Ioelovich
- 期刊名称：《Fractal and Fractional》 | 2019年第1期
- microcrystalline cellulose (MCC)spray-dryingMCC beadsspecific pore volumeapparent densityfractal dimension;
90.The Craft of Fractional Modelling in Science and Engineering: II and III

机译：科学与工程分数建模的工艺：II和III
- 作者：Jordan Hristov
- 期刊名称：《Fractal and Fractional》 | 2021年第4期
91.Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales

机译：弹性粗糙表面接触和多个尺度上测量表面的根均方斜率
- 作者：Robert L. Jackson;Yang Xu;Swarna Saha;Kyle D. Schulze
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- surface roughnesscontact mechanicscontact area;
92.Simplified Mathematical Model for the Description of Anomalous Migration of Soluble Substances in Vertical Filtration Flow

机译：简化的数学模型，用于描述垂直过滤流动溶性物质的异常迁移
- 作者：Vsevolod Bohaienko;Volodymyr Bulavatsky
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- mathematical modelingmigration in porous mediaconvective diffusionfractional diffusion equationmobile–immobile modelssimplified models of geomigration;
93.Dynamics of Fractional-Order Digital Manufacturing Supply Chain System and Its Control and Synchronization

机译：分数级数字制造供应链系统的动态及其控制与对照
- 作者：Yingjin He;Song Zheng;Liguo Yuan
- 期刊名称：《Fractal and Fractional》 | 2021年第3期
- fractional-orderdigital manufacturingsupply chainsynchronizationcontrol;
94.Comb Model: Non-Markovian versus Markovian

机译：梳子模型：非马尔可维亚与马尔可夫
- 作者：Alexander Iomin;Vicen? Méndez;Werner Horsthemke
- 期刊名称：《Fractal and Fractional》 | 2019年第4期
- comb modelcontinuous time random walkfractional Fokker-Planck equationsubdiffusionFox H-functionfractional Schr?dinger equation;
95.Simultaneous Characterization of Relaxation, Creep, Dissipation, and Hysteresis by Fractional-Order Constitutive Models

机译：通过分数阶本构模型同时表征松弛，蠕变，耗散和滞后
- 作者：Jun-Sheng Duan;Di-Chen Hu;Yang-Quan Chen
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- constitutive modelfractional calculusfractional derivativecreep compliancehysteresisrelaxation modulusdissipation;
96.Fractional Kinetic Equations Associated with Incomplete I -Functions

机译：与不完整的I函数相关的分数动力学方程
- 作者：Manish Kumar Bansal;Devendra Kumar;Priyanka Harjule;Jagdev Singh
- 期刊名称：《Fractal and Fractional》 | 2020年第2期
- fractional kinetic equationRiemann–Liouville fractional integral operatorincomplete I -functionsLaplace transform;
97.Image Compression Using Fractal Functions

机译：使用分形函数的图像压缩
- 作者：Olga Svynchuk;Oleg Barabash;Joanna Nikodem;Roman Kochan;Oleksandr Laptiev
- 期刊名称：《Fractal and Fractional》 | 2021年第2期
- fractalfractal functionfractal propertiesself-similarityfractal compressioniterated function systemaffine transformations;
98.Adaptive Neural Network Sliding Mode Control for Nonlinear Singular Fractional Order Systems with Mismatched Uncertainties

机译：非线性奇异分数阶系统具有不匹配不确定性的自适应神经网络滑动模式控制
- 作者：Xuefeng Zhang;Wenkai Huang
- 期刊名称：《Fractal and Fractional》 | 2020年第4期
- singular fractional order systemslinear matrix inequalityadaptive RBF neural networksliding mode control;
99.A Mixed Element Algorithm Based on the Modified L 1 Crank–Nicolson Scheme for a Nonlinear Fourth-Order Fractional Diffusion-Wave Model

机译：一种基于改进的L 1曲柄 - 尼古尔森方案的混合元件算法，用于非线性四阶分数扩散波模型
- 作者：Jinfeng Wang;Baoli Yin;Yang Liu;Hong Li;Zhichao Fang
- 期刊名称：《Fractal and Fractional》 | 2021年第4期
- fourth-order fractional diffusion-wave equationmodified L 1-formulamixed element methoda priori error estimates;
100.Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel

机译：Mittag-Leffler型内核的分数级逻辑差动方程
- 作者：Iván Area;Juan J. Nieto
- 期刊名称：《Fractal and Fractional》 | 2021年第4期
- logistic differential equationfractional calculusLiouville–Caputo fractional derivativeAtangana–Baleanu derivativeCaputo–Fabrizio derivativePrabhakar derivativePrabhakar integral;

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