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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:
Guo, Ling
;
Wu, Hao
;
Yu, Xiaochen
;
Zhou, Tao
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Physics -informed neural networks
Fractional Laplacian
Nonlocal operators
Uncertainty quantification
Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
期刊论文
PHYSICA SCRIPTA, 2021, 卷号: 96, 期号: 12, 页码: 19
作者:
Arshad, Sadia
;
Saleem, Iram
;
Defterli, Ozlem
;
Tang, Yifa
;
Baleanu, Dumitru
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  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
fractional operator with the non-singular kernel
numerical approximation
stability analysis
convergence analysis
tumor model
chaos
Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
期刊论文
Physica Scripta, 2021, 卷号: 96, 期号: 12
作者:
Arshad,Sadia
;
Saleem,Iram
;
Defterli,Ozlem
;
Tang,Yifa
;
Baleanu,Dumitru
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2022/04/02
fractional operator with the non-singular kernel
numerical approximation
stability analysis
convergence analysis
tumor model
chaos
The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation
期刊论文
NUMERICAL ALGORITHMS, 2021, 卷号: 87, 期号: 3, 页码: 1229-1255
作者:
Yang, Fan
;
Pu, Qu
;
Li, Xiao-Xiao
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  |  
浏览/下载:6/0
  |  
提交时间:2021/10/14
Time-fractional diffusion equation
Fractional Laplacian
Identifying the unknown source
Fractional Landweber regularization
Ill-posed problem
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:47/0
  |  
提交时间:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
Free volume based nonlinear viscoelastic model for polyurea over a wide range of strain rates and temperatures
期刊论文
MECHANICS OF MATERIALS, 2021, 卷号: 152, 页码: 11
作者:
Gong CC(龚臣成)
;
Chen Y(陈艳)
;
Li, Ting
;
Liu, Zhanli
;
Zhuang, Zhuo
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  |  
浏览/下载:26/0
  |  
提交时间:2021/03/03
Nonlinear viscoelasticity
Free volume
Constitutive model
Polyurea
A fractional elasto-viscoplastic model for describing creep behavior of soft soil
期刊论文
ACTA GEOTECHNICA, 2021, 卷号: 16, 期号: 1, 页码: 67-76
作者:
Zhou, Fengxi
;
Wang, Liye
;
Liu, Hongbo
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  |  
浏览/下载:7/0
  |  
提交时间:2021/03/12
ELASTOPLASTIC CONSTITUTIVE MODEL
CALCULUS
Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth
期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 卷号: 84, 期号: SUPPL 1, 页码: 99-121
作者:
Guan, Wen
;
Huo, Hai-Feng
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浏览/下载:4/0
  |  
提交时间:2021/06/03
Sign-changing solution
Non-local integrodifferential operator
Variational methods
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
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