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Listar por autor "Xu, Jiaohui"
Mostrando ítems 1-14 de 14
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Tesis Doctoral
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
Xu, Jiaohui (2020-05-20)On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time ...
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Artículo
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
Xu, Jiaohui; Caraballo Garrido, Tomás; Valero, José (Elsevier, 2022-08)In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is ...
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Asymptotic behavior of nonlocal partial differential equations with long time memory
Xu, Jiaohui; Caraballo Garrido, Tomás; Valero, José (AIMS, 2022-10-01)In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with ...
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Dynamics and large deviations for fracional stochastic partial differential equations with Lévy noise
Xu, Jiaohui; Caraballo Garrido, Tomás; Valero Cuadra, José (Society for Industrial and Applied Mathematics, 2024-01-29)This paper is mainly concerned with a kind of fractional stochastic evolution equa-tions driven by L\'evy noise in a bounded ...
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Dynamics of stochastic nonlocal partial differential equations
Xu, Jiaohui; Caraballo Garrido, Tomás (Springer, 2021-08-17)This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations ...
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Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise
Xu, Jiaohui; Caraballo Garrido, Tomás (World scientific, 2022-01-06)This paper deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We ...
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Existence of weak solutions to nonlocal PDEs with a generalized definition of Caputo derivative
Xu, Jiaohui; Caraballo Garrido, Tomás (Springer, 2022-12-08)Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear ...
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Long time behavior of fractional impulsive stochastic differential equations with infinite delay
Xu, Jiaohui; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2019-06)This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive ...
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Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
Xu, Jiaohui; Caraballo Garrido, Tomás (SIAM, 2022)This paper is devoted to investigating the well-posedness and asymptotic behavior of a class of stochastic 5 nonlocal ...
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Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
Xu, Jiaohui; Zhang, Zhengce; Caraballo Garrido, Tomás (Springer, 2019-11-19)In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite ...
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Non-autonomous nonlocal partial differential equations with delay and memory
Xu, Jiaohui; Zhang, Zhengce; Caraballo Garrido, Tomás (Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020-09-15)The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary ...
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On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
Xu, Jiaohui; Caraballo Garrido, Tomás; Valero Cuadra, José (Springer, 2023-11-21)A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is ...
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Artículo
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
Xu, Jiaohui; Zhang, Zhengce; Caraballo Garrido, Tomás (Elsevier, 2019-08)This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations ...
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Artículo
Well-posedness of stochastic time fractional 2D-stokes models with finite and infinite delay
Xu, Jiaohui; Caraballo Garrido, Tomás (Texas State University, 2022-06-19)We analyze the well-posedness of two versions of a stochastic time delay fractional 2D-Stokes model with nonlinear ...