• Article
  

  Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay 

  Liang, Tongtong; Caraballo Garrido, Tomás; Wang, Yejuan (Springer, 2020-08-18)

  In this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay ...

• Article
  

  On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation 

  Caraballo Garrido, Tomás; Ngoc, Tran Bao; Thach, Tran Ngoc; Tuan, Nguyen Huy (AIMS, 2020-06-30)

  In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value ...

• Article
  

  Partial stability analysis of stochastic differential equations with a general decay rate 

  Caraballo Garrido, Tomás; Ezzine, Faten; Hammami, Mohamed Ali (Springer, 2021-08-28)

  This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general ...

• Article
  

  Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion 

  Caraballo Garrido, Tomás; Boudaoui, Ahmed; Blouhi, Tayeb (Taylor and Francis Online, 2021-02-17)

  We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations ...

• Article
  

  New stability criteria for stochastic perturbed singular systems in mean square 

  Caraballo Garrido, Tomás; Ezzine, Faten; Hammami, Mohamed Ali (Springer, 2021-06-24)

  In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using ...

• Article
  

  On a terminal value problem for parabolic reaction–diffusion systems with nonlocal coupled diffusivity terms 

  NGuyen, Huy Tuan; Caraballo Garrido, Tomás; Khanh Van, Phan Thi; Van Au, Vo (Elsevier, 2022-01-10)

  In this article, we are interested in investigating the nonlocal nonlinear reaction– diffusion system with final conditions. ...

• Article
  

  Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators 

  Boldrin Belluzi, Maykel; Caraballo Garrido, Tomás; Nascimento, Marcelo J.D.; Schiabel, Karina (Elsevier, 2022-01-24)

  In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators ut + A(t)u ...

• Article
  

  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 ...

• Article
  

  Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations 

  Zhao, Caidi; Wang, Jintao; Caraballo Garrido, Tomás (Elsevier, 2022-02-17)

  In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for ...

• Article
  

  On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions 

  NGuyen, Huy Tuan; Caraballo Garrido, Tomás; Tran, Ngoc Thach (IOS Press, 2021-06-09)

  In this paper, we study two terminal value problems (TVPs) for stochastic bi-parabolic equations perturbed by standard ...

• Article
  

  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 ...

• Article
  

  Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains 

  Caraballo Garrido, Tomás; Guo, Boling; Tuan, Nguyen Huy; Wang, Renhai (Cambrigde Core, 2020-11-05)

  This paper is concerned with the asymptotic behavior of solutions to a class of non-autonomous stochastic nonlinear wave ...

• Article
  

  On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square 

  Caraballo Garrido, Tomás; Ezzine, Faten; Hammami, Mohamed Ali (Springer, 2021-02-09)

  The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic ...

• Article
  

  A common framework for the robust design of tuned mass damper techniques to mitigate pedestrian-induced vibrations in lively footbridges 

  Jiménez Alonso, Javier Fernando; Soria, José M.; Díaz, Iván M.; Guillén González, Francisco Manuel (Elsevier Ltd, 2021)

  The dynamic response of modern slender footbridges is usually sensitive to both the pedestrian actions and the uncertainties ...

• Article
  

  Nontrivial compact blow-up sets of lower dimension in a half-space 

  Pérez Llanos, Mayte; Rossi Pérez, Julio Daniel (Project euclid, 2007-09-01)

  In this paper we provide examples of blowing-up solutions to parabolic problems in a half space, RN+×RM={xN>0}×RMR+N×RM={xN>0}×RM, ...

• Article
  

  Optimal Control of Insect Populations 

  Alburquerque de Araujo, Anderson L.; Boldrini, José Luis; Cabrales, Roberto Carlos; Fernández Cara, Enrique; Oliveira, Milton L. (MDPI, 2021-07-26)

  We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move ...

• Article
  

  Partial practical exponential stability of neutral stochastic functional di erential equa- tions with Markovian switching 

  Caraballo Garrido, Tomás; Mchiri, Lassaad; Rhaima, Mohamed (Springer, 2021-06-03)

  In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential ...

• Article
  

  Practical stability with respect to a part of variables of stochastic differential equations 

  Caraballo Garrido, Tomás; Ezzine, Faten; Hammami, Mohamed Ali; Mchiri, Lassaad (Taylor & Francis, 2020-01-01)

  In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations ...

• Article
  

  Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions 

  Wang, Yejuan; Liu, Yarong; Caraballo Garrido, Tomás (Springer, 2021-01-02)

  In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by ...

• Article
  

  Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices 

  Zhao, Caidi; Jiang, Huite; Caraballo Garrido, Tomás (Elsevier, 2021-04-05)

  We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we ...

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