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Caraballo Garrido, Tomás (287)
Langa Rosado, José Antonio (40)Real Anguas, José (36)Valero Cuadra, José (25)Kloeden, Peter E. (23)Garrido Atienza, María José (18)Marín Rubio, Pedro (16)Colucci, Renato (15)Mchiri, Lassaad (13)López de la Cruz, Javier (12)... View MoreSubjectPullback attractor (15)Fractional Brownian motion (12)Pullback attractors (11)Mild solutions (9)Non-autonomous dynamical systems (9)Fixed point (8)Stability (8)exponential stability (7)Random attractor (7)Random dynamical system (7)... View MoreDate Issued2020 - 2022 (69)2010 - 2019 (135)2000 - 2009 (70)1990 - 1999 (10)1988 - 1989 (3)Funding agencyEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) (13)Ministerio de Ciencia, Innovación y Universidades (MICINN). España (7)Ministerio de Economía y Competitividad (MINECO). España (7)Junta de Andalucía (6)National Natural Science Foundation of China (4)Agencia Estatal de Investigación. España (3)Ministerio de Ciencia, Innovación y Universidades (MCIU). España (2)Agencia Estatal de Investigación (AEI). España (1)Consejería de Innovación en Ciencia y Empresa, Junta de Andalucía (1)Fundamental Research Funds for the Central Universities (1)... View More
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Article
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Practical exponential stability of impulsive stochastic functional differential equations 

Caraballo Garrido, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad (Elsevier, 2017-11)
This paper is devoted to the investigation of the practical exponential stability of impulsive stochastic functional differential equations. The main tool used to prove the results is the Lyapunov-Razumikhin method which ...
Article
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Dynamics of a class of ODEs via wavelets 

Munhoz Rodrigues, Hildebrando; Caraballo Garrido, Tomás; Fuzeto Gameiro, Marcio (American Institute of Mathematical Sciences, 2017-11)
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work is dedicated to study perturbation of the equilibrium (special solution) of a perturbed hyperbolic system. ...
Article
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Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems 

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (Elsevier, 2018-03)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for time-dependent p-Laplacian equations with nonlocal diffusion and nonlinearities of reaction-diffusion ...
Article
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Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory 

Liu, Linfang; Caraballo Garrido, Tomás; Kloeden, Peter E. (Springer, 2017-09)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate in the cases that the nonlinear term satisfies subcritical and critical growth conditions. The ...
Article
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Corrigendum to the paper: Existence and stability results for semilinear systems of impulsivestochastic differential equations with fractionalBrownian motion. Stoch. Anal. Appl. 34 (2016), no. 5, 792–834 

Blouhi, Tayeb; Caraballo Garrido, Tomás; Ouahab, Abdelghani (Taylor & Francis, 2017-08)
In this paper we correct an error made in our paper [Blouhi, T.; Caraballo, T.; Ouahab, A. Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian ...
Article
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Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces 

Caraballo Garrido, Tomás; Sonner, Stefanie (American Institute of Mathematical Sciences, 2017-12)
We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in ...
Article
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Dynamics of some stochastic chemostat models with multiplicative noise 

Caraballo Garrido, Tomás; Garrido Atienza, María José; López de la Cruz, Javier (American Institute of Mathematical Sciences, 2017-08)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence ...
Article
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Well-posedness and dynamics of a fractional stochastic integro-differential equation 

Liu, Linfang; Caraballo Garrido, Tomás (Elsevier, 2017-09-15)
In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation describing a reaction process depending on the temperature itself. Existence and uniqueness of solutions ...
Article
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Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion 

Boudaoui, Ahmed; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2017-09)
This paper is concerned with the existence and continuous dependence of mild solutions to stochastic differential equations with non-instantaneous impulses driven by fractional Brownian motions. Our approach is based on ...
PhD Thesis
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Sistemas dinámicos en modelos estocásticos con ruido fraccionario. 

López de la Cruz, Javier (2018-06-28)
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