FRACTIONAL

作品数：1322被引量：1746H指数：16
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相关机构：华东交通大学成都理工大学南京航空航天大学华南师范大学更多>>
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ERROR ANALYSIS OF FRACTIONAL COLLOCATION METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH NONCOMPACT OPERATORS
《Journal of Computational Mathematics》2025年第3期690-707,共18页Zheng Ma Chengming Huang Anatoly A.Alikhanov 
supported by the National Natural Science Foundation of China(Grant No.12171177);supported by the Russian Science Foundation(Grant No.23-41-00037).
This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singulari...
关键词：Volterra integro-differential equation Noncompact operator Nonsmooth solution Collocation method Fractional polynomial hp-version error analysis 
Blow up,Growth and Decay of Solutions for Class of a Coupled Nonlinear Viscoelastic Kirchhoff Equations with Variable Exponents and Fractional Boundary Conditions
《Acta Mathematicae Applicatae Sinica》2025年第2期344-374,共31页Abdelbaki CHOUCHA Salah BOULAARAS Djamel OUCHENANE RashidJAN 
We examine a quasilinear system of viscoelastic equations in this study that have fractional boundary conditions,dispersion,source,and variable-exponents.We discovered that the solution of the system is global and con...
关键词：viscoelastic equation blow up nonlinear equations exponential growth general decay variable exponents 
Fractional Discrete-Time Analysis of an Emotional Model Built on a Chaotic Map through the Set of Equilibrium and Fixed Points
《Computer Modeling in Engineering & Sciences》2025年第4期809-826,共18页Shaher Momani Rabha W.Ibrahim Yeliz Karaca 
supported by Ajman University Internal Research Grant No.(DRGS Ref.2024-IRGHBS-3).
Fractional discrete systems can enable the modeling and control of the complicated processes more adaptable through the concept of versatility by providing systemdynamics’descriptions withmore degrees of freedom.Nume...
关键词：Fractional difference system fractional differential operators fractional calculus chaotic map EQUILIBRIUM fixed point sets nyquist plot routh-Hurwitz criterion 
APPROXIMATE CONTROLLABILITY OF NONLINEAR EVOLUTION FRACTIONAL CONTROL SYSTEMI WITH DELAY
《Acta Mathematica Scientia》2025年第2期553-568,共16页Kamla Kant MISHRA Shruti DUBEY 
This article studies the existence and uniqueness of the mild solution of a family of control systems with a delay that are governed by the nonlinear fractional evolution differential equations in Banach spaces.Moreov...
关键词：nonlinear fractional differential equation Caputo fractional derivative mild solution existence and uniqueness theorems approximate controllability 
Phase transition extracted by principal component analysis in the disordered Moore–Read state
《Chinese Physics B》2025年第4期552-558,共7页Na Jiang Shuaixin Fu Zhengzhi Ma Lian Wang 
supported by the National Natural Science Foundation of China(Grant Nos.12104075 and 12347101).
We study the influence of disorder on the Moore–Read state by principal component analysis(PCA),which is one of the ground state candidates for the 5/2 fractional Hall state.By using PCA,the topological features of t...
关键词：fractional quantum Hall phase transition principal component analysis 
Free vibration of piezoelectric semiconductor composite structure with fractional viscoelastic layer
《Applied Mathematics and Mechanics(English Edition)》2025年第4期683-698,共16页Yansong LI Wenjie FENG Lei WEN 
supported by the National Natural Science Foundation of China(No.12372153);the Funding by Guangdong Basic and Applied Basic Research Foundation(No.2023A1515012366)。
In this study,the free vibration of a piezoelectric semiconductor(PS)composite structure composed of a PS layer,a fractional viscoelastic layer,and an elastic substrate with simply-supported boundary conditions is inv...
关键词：fractional viscoelastic material free vibration composite structure piezoelectric semiconductor(PS) 
Remote Comparison of Two Sr Optical Lattice Clocks through a 58 km Fiber Link
《Chinese Physics Letters》2025年第3期63-68,共6页Tang-Yin Liao Hao Liu Fei Meng Qiang Wang Tao Yang Hao-Chen Tian Bing-Kun Lu Lin Zhu Ye Li Bai-Ke Lin Zhan-Jun Fang Yi-Ge Lin 
supported by the National Key R&D Program of China(Grant No.2021YFF0603802);the National Natural Science Foundation of China(Grant No.61905231);the State Administration for Market Regulation(Grant No.CXTD202301);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0300902)。
Two^(87)Sr optical lattice clocks(OLCs)are being developed and operated at the National Institute of Metrology(NIM),located on different campuses that are 40km apart.In order to compare the optical frequencies of thes...
关键词：FIBER FRACTIONAL LATTICE 
Sharp Isolated Toughness Bound for Fractional(k,m)-Deleted Graphs
《Acta Mathematicae Applicatae Sinica》2025年第1期252-269,共18页Wei GAO Wei-fan WANG Yao-jun CHEN 
supported by the National Science Foundation of China(Nos.12161094,12031018,11871270,12161141003and11931006).
A graph G is a fractional(k,m)-deleted graph if removing any m edges from G,the resulting subgraph still admits a fractional k-factor.Let k≥2 and m≥1 be integers.Denote[2m/k]^(*)=[2m/k]if 2m/k is not an integer,and[...
关键词：GRAPH isolated toughness fractional k-factor fractional(k m)-deleted graph 
Quantum geometry in condensed matter
《National Science Review》2025年第3期401-417,共17页Tianyu Liu Xiao-Bin Qiang Hai-Zhou Lu X.C.Xie 
supported by the National Key R&D Program of China(2022YFA1403700);the Innovation Program for Quantum Science and Technology(2021ZD0302400);the National Natural Science Foundation of China(12304196,12350402 and 11925402);the Guangdong Basic and Applied Basic Research Foundation(2022A1515111034,2023B0303000011);the Guangdong Provincial Quantum Science Strategic Initiative(GDZX2201001,GDZX2401001);the Department of Education of Guangdong Province(2020KCXTD001);the Science,Technology and Innovation Commission of Shenzhen Municipality(ZDSYS20190902092905285)and the Center for Computational Science and Engineering of SUSTech.
One of the most celebrated accomplishments of modern physics is the description of fundamental principles of nature in the language of geometry.As the motion of celestial bodies is governed by the geometry of spacetim...
关键词：quantum geometry Berry curvature quantum metric nonlinear transport flat-band superconductor fractional Chern insulator 
Sign-changing Solutions for a Fractional Schrödinger-Poisson System with Concave-convex Nonlinearities and a Steep Potential Well
《数学理论与应用》2025年第1期25-44,共20页FU Jiao LI Hongying LIAO Jiafeng 
supported by the Natural Science Foundation of Sichuan(No.2023NSFSC0073)。
In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)^(s)u+V_(λ)(x)u+ϕu=f(x)|u|^(q-2)u+|u|^(p-2)u,in R^(3),(-Δ)^(t)ϕ=u^(...
关键词：Fractional Schrödinger-Poisson system Concave-convex nonlinearity Sign-changing solution Steep potential well 
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