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A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems
期刊论文
NONLINEAR DYNAMICS, 2020, 页码: 25
作者:
Wu, Ze-Hao
;
Zhou, Hua-Cheng
;
Guo, Bao-Zhu
;
Deng, Feiqi
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  |  
浏览/下载:17/0
  |  
提交时间:2020/09/23
Active disturbance rejection control
Extended state observer
Boundary control
Disturbance
Stochastic systems
Infinite-dimensional systems
Fractional-order PDE
Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 卷号: 2020, 期号: 1
作者:
Li, Min
;
Sun, Jian-Ping
;
Zhao, Ya-Hong
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  |  
浏览/下载:16/0
  |  
提交时间:2020/06/02
Fractional differential equation
Integral boundary condition
Boundary value problem
Positive solution
Existence
Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions
期刊论文
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 卷号: 2020
作者:
Li, Min
;
Sun, Jian-Ping
;
Zhao, Ya-Hong
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  |  
浏览/下载:9/0
  |  
提交时间:2022/03/01
Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance
期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 卷号: 29, 期号: 13, 页码: 4384-4401
作者:
Zhou, Hua-Cheng
;
Lv, Chunwan
;
Guo, Bao-Zhu
;
Chen, YangQuan
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  |  
浏览/下载:60/0
  |  
提交时间:2020/01/10
active disturbance rejection control (ADRC)
Mittag-Leffler stabilization
time-fractional anomalous diffusion equation
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:
Huang, Jianfei
;
Arshad, Sadia
;
Jiao, Yandong
;
Tang, Yifa
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  |  
浏览/下载:54/0
  |  
提交时间:2020/01/10
Fractional diffusion-wave equation
nonlinear source
convolution quadrature
generating function
stability and convergence
Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source
期刊论文
Applied Mathematics Letters, 2019, 卷号: 91, 页码: 201-206
作者:
Cao, Jianxiong
;
Song, Guojie
;
Wang, Jie
;
Shi, Qihong
;
Sun, Sujing
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  |  
浏览/下载:2/0
  |  
提交时间:2020/11/14
Diffusion
Partial differential equations
Blow-up
Blow-up of solution
Bounded solution
Diffusion equations
Existence of global solution
Global solutions
Long time behavior
Nonlinear reaction
ALTERNATING DIRECTION IMPLICIT SCHEMES FOR THE TWO-DIMENSIONAL TIME FRACTIONAL NONLINEAR SUPER-DIFFUSION EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 3, 页码: 297-315
作者:
Huang, Jianfei
;
Zhao, Yue
;
Arshad, Sadia
;
Li, Kuangying
;
Tang, Yifa
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  |  
浏览/下载:38/0
  |  
提交时间:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada-Kotera equation
期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 卷号: 29, 页码: 509-522
作者:
Zou, Li
;
Yu, Zong-Bing
;
Tian, Shou-Fu
;
Wang, Xiu-Bin
;
Li, Jin
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/02
Differential equations
Physical properties, Conservation law
Conservation theorem
Fractional differential equations
Lie point symmetries
Lie symmetry analysis
Nonlinear lattices
Shallow waters
Symmetry reduction, Nonlinear equations
Positive solutions of higher order fractional integral boundary value problem with a parameter
期刊论文
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 卷号: Vol.24 No.2, 页码: 210-223
作者:
Hao, Xinan
;
Zhang, Luyao
;
Liu, Lishan
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  |  
浏览/下载:16/0
  |  
提交时间:2019/12/17
positive solution
fractional differential equation
integral boundary condition
fixed point theorem
cone
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