FRACTIONAL-ORDER

作品数：273被引量：483H指数：10
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相关作者：谭超李特吴莹康艳梅更多>>
相关机构：西安交通大学三峡大学更多>>
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相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>
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A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source
《Applied Mathematics and Mechanics(English Edition)》2022年第4期507-522,共16页Wei PENG Like CHEN Tianhu HE 
Project supported by the National Natural Science Foundation of China(Nos.11972176 and12062011)。
Classical thermo-viscoelastic models may be challenged to predict the precise thermo-mechanical behavior of viscoelastic materials without considering the memorydependent effect.Meanwhile,with the miniaturization of d...
关键词：size-dependent effect fractional-order strain fractional-order thermal conduction generalized thermo-viscoelasticity moving heat source 
Asymptotical consensus of fractional-order multi-agent systems with current and delay states被引量：2
《Applied Mathematics and Mechanics(English Edition)》2019年第11期1677-1694,共18页Xuhui WANG Xuesong LI Nanjing HUANG D.O'REGAN 
Project supported by the National Natural Science Foundation of China(Nos.11471230 and11671282)
In this paper,we study some new fractional-order multi-agent systems with current and delay states (FMASCD).Using the generalized Nyquist's stability criterion and Gerschgorin's circle theorem,we obtain the bounded in...
关键词：FRACTIONAL-ORDER multi-agent system (FMAS) asymptotical CONSENSUS CURRENT STATE DELAY STATE 
Fractional-order visco-plastic constitutive model for uniaxial ratcheting behaviors被引量：5
《Applied Mathematics and Mechanics(English Edition)》2019年第1期49-62,共14页Wenjie ZHAO Shaopu YANG Guilin WEN Xuehong REN 
Project supported by the National Natural Science Foundation of China(Nos.11790282,U1534204,and 11472179);the Natural Science Foundation of Hebei Province of China(No.A2016210099)
This paper proposes a novel unified visco-plastic constitutive model for uniaxial ratcheting behaviors. The cyclic deformation of the material presents remarkable time-dependence and history memory phenomena. The frac...
关键词：cyclic visco-plastic CONSTITUTIVE fractional DERIVATIVE FRACTIONAL-ORDER uni-fied visco-plastic(FVP)model rate-dependent RATCHETING 
Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy被引量：1
《Applied Mathematics and Mechanics(English Edition)》2018年第3期353-364,共12页Lin DU Yong YANG Youming LEI 
Project supported by the National Natural Science Foundation of China(Nos.11672231 and11672233);the Natural Science Foundation of Shaanxi Province(No.2016JM1010);the Fundamental Research Funds for the Central Universities(No.3102017AX008);the Seed Foundation of Innovation and Creation for Graduate Students at the Northwestern Polytechnical University of China(No.Z2017187)
This paper studies synchronization of all nodes in a fractional-order complex dynamic network. An adaptive control strategy for synchronizing a dynamic network is proposed. Based on the Lyapunov stability theory, this...
关键词：fractional-order chaotic system SYNCHRONIZATION complex dynamic net-work adaptive control 
Fractional-order generalized thermoelastic diffusion theory
《Applied Mathematics and Mechanics(English Edition)》2017年第8期1091-1108,共18页Chunbao XIONG Yanbo NIU 
The present work aims to establish a fractional-order generalized themoelastic diffusion theory for anisotropic and linearly thermoelastic diffusive media. To numerically handle the multi-physics problems expressed by...
关键词：fractional Laplace anisotropic infinite variational handle unified inverse Liouville calculus 
High-order numerical methods of fractional-order Stokes' first problem for heated generalized second grade fluid
《Applied Mathematics and Mechanics(English Edition)》2012年第1期65-80,共16页Chao YE Xia n-nan LUO Li-ping WEN 
supported by the National Natural Science Foundation of China (No. 10971175);the Scientific Research Fund of Hunan Provincial Education Department (No. 09A093)
The high-order implicit finite difference schemes for solving the fractional- order Stokes＇ first problem for a heated generalized second grade fluid with the Dirichlet boundary condition and the initial condition ar...
关键词：fractional-order Stokes＇ first problem implicit difference scheme SOLVABILITY stability convergence 
Fractional-order Maxwell model of seabed mud and its effect on surface-wave damping
《Applied Mathematics and Mechanics(English Edition)》2011年第11期1357-1366,共10页夏乐章 朱克勤 
Project supported by the National Natural Science Foundation of China(No.10972117)
A fractional-order Maxwell model is used to describe the viscoelastic seabed mud. The experimental data of the real mud well fit the results of the fractional-order Maxwell model that has fewer parameters than the tra...
关键词：seabed mud wave-mud interaction wave damping fractional-order Maxwell model 
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