Tomás Caraballo

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 27

Top Topics

Fractal Dimensions

Differential Equations

Exponential Stability

Brownian Motion

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Int. J. Control

SIAM J. Math. Anal.

Appl. Math. Lett.

Publications

Tomás Caraballo, Javier López-de-la-Cruz, Verónica Caraballo-Romero
Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model. Math. Comput. Simul. 218 (2024)
Wenjie Hu, Tomás Caraballo
Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations. J. Nonlinear Sci. 34 (1) (2024)
Tomás Caraballo, Zhang Chen, Lingyu Li
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Jiaohui Xu, Tomás Caraballo, José Valero
Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise. SIAM J. Math. Anal. 56 (1) (2024)
Yangrong Li, Shuang Yang, Tomás Caraballo
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System. SIAM J. Numer. Anal. 61 (2) (2023)
Tianfang Zou, Caidi Zhao, Tomás Caraballo
Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space. Commun. Nonlinear Sci. Numer. Simul. 127 (2023)
Nguyen Huy Tuan, Tomás Caraballo, Tran Ngoc Thach
Continuity with respect to the Hurst parameter of solutions to stochastic evolution equations driven by H-valued fractional Brownian motion. Appl. Math. Lett. 144 (2023)
Clara Burgos, Tomás Caraballo, Juan Carlos Cortés, Laura Villafuerte, Rafael-Jacinto Villanueva
Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. Comput. Appl. Math. 42 (3) (2023)
Tomás Caraballo, Faten Ezzine, Mohamed Ali Hammami
Stability with respect to a part of the variables of stochastic nonlinear systems driven by G-Brownian motion. Int. J. Control 96 (7) (2023)
Shuang Yang, Tomás Caraballo, Yangrong Li
Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Fengling Wang, Tomás Caraballo, Yangrong Li, Renhai Wang
Periodic measures for the stochastic delay modified Swift-Hohenberg lattice systems. Commun. Nonlinear Sci. Numer. Simul. 125 (2023)
Danfeng Luo, Xue Wang, Tomás Caraballo, Quanxin Zhu
Ulam-Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay. Commun. Nonlinear Sci. Numer. Simul. 121 (2023)
Jiaohui Xu, Tomás Caraballo
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong-Zakai Approximations. SIAM J. Math. Anal. 54 (3) (2022)
Leonid E. Shaikhet, Tomás Caraballo
Stability of delay evolution equations with fading stochastic perturbations. Int. J. Control 95 (6) (2022)
Nguyen Huy Tuan, Tomás Caraballo, Phan Thi Khanh Van, Vo Van Au
On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. Commun. Nonlinear Sci. Numer. Simul. 108 (2022)
Caidi Zhao, Huite Jiang, Tomás Caraballo
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Appl. Math. Comput. 404 (2021)
Tomás Caraballo, Lassaad Mchiri, Belfeki Mohsen, Mohamed Rhaima
p th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching. Commun. Nonlinear Sci. Numer. Simul. 102 (2021)
Tomás Caraballo, Renato Colucci, Javier López-de-la-Cruz, Alain Rapaport
Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer Simulat, 77 (2019), 239-257. Commun. Nonlinear Sci. Numer. Simul. 96 (2021)
Javier López-de-la-Cruz, María Pérez-Aranda, Ana Alcudia, Belén Begines, Tomás Caraballo, Eloísa Pajuelo, Pedro J. Ginel
infection. Commun. Nonlinear Sci. Numer. Simul. 91 (2020)
Jintao Wang, Caidi Zhao, Tomás Caraballo
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Commun. Nonlinear Sci. Numer. Simul. 91 (2020)
Caidi Zhao, Zhongchun Song, Tomás Caraballo
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Appl. Math. Lett. 99 (2020)
Mimia Benhadri, Tomás Caraballo, Halim Zeghdoudi
Stability results for neutral stochastic functional differential equations via fixed point methods. Int. J. Control 93 (7) (2020)
Jiaohui Xu, Zhengce Zhang, Tomás Caraballo
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay. Commun. Nonlinear Sci. Numer. Simul. 75 (2019)
Tomás Caraballo, Juan Carlos Cortés, A. Navarro-Quiles
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Appl. Math. Comput. 356 (2019)
Tomás Caraballo, Renato Colucci, Javier López-de-la-Cruz, Alain Rapaport
A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun. Nonlinear Sci. Numer. Simul. 77 (2019)
Huanhuan Li, Diyi Chen, Ehsan Arzaghi, Rouzbeh Abbassi, Adem Kiliçman, Tomás Caraballo, Edoardo Patelli, Xiang Gao, Beibei Xu
Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process. Commun. Nonlinear Sci. Numer. Simul. 67 (2019)
Tomás Caraballo, Mohamed Ali Hammami, Lassaad Mchiri
Practical exponential stability of impulsive stochastic functional differential equations. Syst. Control. Lett. 109 (2017)
Tomás Caraballo, Xiaoying Han, Peter E. Kloeden
Nonautonomous Chemostats with Variable Delays. SIAM J. Math. Anal. 47 (3) (2015)
Tomás Caraballo, Antonio M. Márquez-Durán, Felipe Rivero
Well-Posedness and Asymptotic Behavior of a Nonclassical Nonautonomous Diffusion Equation with Delay. Int. J. Bifurc. Chaos 25 (14) (2015)
María Anguiano, Tomás Caraballo, José Real, José Valero
Pullback attractors for a nonautonomous integro-differential equation with Memory in some Unbounded Domains. Int. J. Bifurc. Chaos 23 (3) (2013)
Tomás Caraballo, Gábor Kiss, Takeshi Taniguchi
Pullback attractors for differential equations with Multiple variable delays in Lipschitz nonlinearities. Int. J. Bifurc. Chaos 23 (11) (2013)
Tomás Caraballo, José A. Langa, Zhenxin Liu
Gradient Infinite-Dimensional Random Dynamical Systems. SIAM J. Appl. Dyn. Syst. 11 (4) (2012)
Tomás Caraballo, José A. Langa, Felipe Rivero, Alexandre N. Carvalho
A Gradient-like nonautonomous Evolution Process. Int. J. Bifurc. Chaos 20 (9) (2010)
Francisco Balibrea, Tomás Caraballo, Peter E. Kloeden, José Valero
Recent Developments in Dynamical Systems: Three Perspectives. Int. J. Bifurc. Chaos 20 (9) (2010)
Tomás Caraballo, José Real, Antonio M. Márquez-Durán
Three-Dimensional System of Globally Modified Navier-Stokes Equations with Delay. Int. J. Bifurc. Chaos 20 (9) (2010)
María Anguiano, Tomás Caraballo, José Real
. Int. J. Bifurc. Chaos 20 (9) (2010)
Tomás Caraballo, Igor D. Chueshov, Peter E. Kloeden
Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain. SIAM J. Math. Anal. 38 (5) (2006)
Tomás Caraballo, James C. Robinson
Stabilisation of linear PDEs by Stratonovich noise. Syst. Control. Lett. 53 (1) (2004)
Tomás Caraballo, María J. Garrido-Atienza, José Real
Stochastic stabilization of differential systems with general decay rate. Syst. Control. Lett. 48 (5) (2003)