Stochastic stabilization of differential systems with general decay rate. - Tomás Caraballo; María J. Garrido-Atienza; José Real (Syst. Control. Lett., 2003)

Stabilisation of linear PDEs by Stratonovich noise. - Tomás Caraballo; James C. Robinson (Syst. Control. Lett., 2004)

Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain. - Tomás Caraballo; Igor D. Chueshov; Peter E. Kloeden (SIAM J. Math. Anal., 2006)

Existence of Pullback Attractor for a Reaction-Diffusion equation in Some Unbounded Domains with Non-Autonomous Forcing Term in H-1. - María Anguiano; Tomás Caraballo; José Real (Int. J. Bifurc. Chaos, 2010)

Recent Developments in Dynamical Systems: Three Perspectives. - Francisco Balibrea; Tomás Caraballo; Peter E. Kloeden; José Valero 001 (Int. J. Bifurc. Chaos, 2010)

A Gradient-like nonautonomous Evolution Process. - Tomás Caraballo; José A. Langa; Felipe Rivero; Alexandre N. Carvalho (Int. J. Bifurc. Chaos, 2010)

Three-Dimensional System of Globally Modified Navier-Stokes Equations with Delay. - Tomás Caraballo; José Real; Antonio M. Márquez-Durán (Int. J. Bifurc. Chaos, 2010)

Gradient Infinite-Dimensional Random Dynamical Systems. - Tomás Caraballo; José A. Langa; Zhenxin Liu (SIAM J. Appl. Dyn. Syst., 2012)

Pullback attractors for a nonautonomous integro-differential equation with Memory in some Unbounded Domains. - María Anguiano; Tomás Caraballo; José Real; José Valero 001 (Int. J. Bifurc. Chaos, 2013)

Pullback attractors for differential equations with Multiple variable delays in Lipschitz nonlinearities. - Tomás Caraballo; Gábor Kiss; Takeshi Taniguchi (Int. J. Bifurc. Chaos, 2013)

Well-Posedness and Asymptotic Behavior of a Nonclassical Nonautonomous Diffusion Equation with Delay. - Tomás Caraballo; Antonio M. Márquez-Durán; Felipe Rivero (Int. J. Bifurc. Chaos, 2015)

Nonautonomous Chemostats with Variable Delays. - Tomás Caraballo; Xiaoying Han; Peter E. Kloeden (SIAM J. Math. Anal., 2015)

Practical exponential stability of impulsive stochastic functional differential equations. - Tomás Caraballo; Mohamed Ali Hammami; Lassaad Mchiri (Syst. Control. Lett., 2017)

Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. - Tomás Caraballo; Juan Carlos Cortés; Ana Navarro-Quiles (Appl. Math. Comput., 2019)

A way to model stochastic perturbations in population dynamics models with bounded realizations. - Tomás Caraballo; Renato Colucci; Javier López-de-la-Cruz; Alain Rapaport (Commun. Nonlinear Sci. Numer. Simul., 2019)

Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process. - Huanhuan Li 005; Diyi Chen; Ehsan Arzaghi; Rouzbeh Abbassi; Adem Kiliçman; Tomás Caraballo; Edoardo Patelli; Xiang Gao; Beibei Xu (Commun. Nonlinear Sci. Numer. Simul., 2019)

Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay. - Jiaohui Xu; Zhengce Zhang; Tomás Caraballo (Commun. Nonlinear Sci. Numer. Simul., 2019)

Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. - Caidi Zhao; Zhongchun Song; Tomás Caraballo (Appl. Math. Lett., 2020)

Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection. - Javier López-de-la-Cruz; María Pérez-Aranda; Ana Alcudia; Belén Begines; Tomás Caraballo; Eloísa Pajuelo; Pedro J. Ginel (Commun. Nonlinear Sci. Numer. Simul., 2020)

Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. - Jintao Wang; Caidi Zhao; Tomás Caraballo (Commun. Nonlinear Sci. Numer. Simul., 2020)

Stability results for neutral stochastic functional differential equations via fixed point methods. - Mimia Benhadri; Tomás Caraballo; Halim Zeghdoudi (Int. J. Control, 2020)

Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. - Caidi Zhao; Huite Jiang; Tomás Caraballo (Appl. Math. Comput., 2021)

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. - Tomás Caraballo; Renato Colucci; Javier López-de-la-Cruz; Alain Rapaport (Commun. Nonlinear Sci. Numer. Simul., 2021)

p th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching. - Tomás Caraballo; Lassaad Mchiri; Mohsen Belfeki; Mohamed Rhaima (Commun. Nonlinear Sci. Numer. Simul., 2021)

On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. - Nguyen Huy Tuan; Tomás Caraballo; Phan Thi Khanh Van; Vo Van Au (Commun. Nonlinear Sci. Numer. Simul., 2022)

Stability of delay evolution equations with fading stochastic perturbations. - Leonid E. Shaikhet; Tomás Caraballo (Int. J. Control, 2022)

Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong-Zakai Approximations. - Jiaohui Xu; Tomás Caraballo (SIAM J. Math. Anal., 2022)

Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. - Clara Burgos; Tomás Caraballo; Juan Carlos Cortés; Laura Villafuerte; Rafael-Jacinto Villanueva (Comput. Appl. Math., 2023)

Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. - Shuang Yang; Tomás Caraballo; Yangrong Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System. - Yangrong Li; Shuang Yang; Tomás Caraballo (SIAM J. Numer. Anal., 2023)

Ulam-Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay. - Danfeng Luo; Xue Wang; Tomás Caraballo; Quanxin Zhu (Commun. Nonlinear Sci. Numer. Simul., 2023)

Stability with respect to a part of the variables of stochastic nonlinear systems driven by G-Brownian motion. - Tomás Caraballo; Faten Ezzine; Mohamed Ali Hammami (Int. J. Control, 2023)

Continuity with respect to the Hurst parameter of solutions to stochastic evolution equations driven by H-valued fractional Brownian motion. - Nguyen Huy Tuan; Tomás Caraballo; Tran Ngoc Thach (Appl. Math. Lett., 2023)

Periodic measures for the stochastic delay modified Swift-Hohenberg lattice systems. - Fengling Wang; Tomás Caraballo; Yangrong Li; Renhai Wang (Commun. Nonlinear Sci. Numer. Simul., 2023)

Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space. - Tianfang Zou; Caidi Zhao; Tomás Caraballo (Commun. Nonlinear Sci. Numer. Simul., 2023)

Non-autonomous chemostat models with non-monotonic growth. - Tomás Caraballo; Javier López-de-la-Cruz; Verónica Caraballo-Romero (Int. J. Comput. Math., 2024)

Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations. - Wenjie Hu; Tomás Caraballo (J. Nonlinear Sci., 2024)

Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise. - Jiaohui Xu; Tomás Caraballo; José Valero 001 (SIAM J. Math. Anal., 2024)

Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation. - Tomás Caraballo; Zhang Chen; Lingyu Li (SIAM J. Appl. Dyn. Syst., 2024)

Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model. - Tomás Caraballo; Javier López-de-la-Cruz; Verónica Caraballo-Romero (Math. Comput. Simul., 2024)

Dynamics of non-local lattice systems in ℓ1. - Jiaohui Xu; Tomás Caraballo; José Valero 001 (Appl. Math. Lett., 2025)

Asymptotical behavior of the 2D stochastic partial dissipative Boussinesq system with memory. - Haoran Dai; Bo You; Tomás Caraballo (Commun. Nonlinear Sci. Numer. Simul., 2025)

Randomness suppress backward bifurcation in an epidemic model with limited medical resources. - Aadil Lahrouz; Tomás Caraballo; Ibrahim Bouzalmat; Adel Settati (Commun. Nonlinear Sci. Numer. Simul., 2025)

Stochastic SIR epidemic model dynamics on scale-free networks. - Adel Settati; Tomás Caraballo; Aadil Lahrouz; Ibrahim Bouzalmat; A. Assadouq (Math. Comput. Simul., 2025)

Weak Random Attractors for the Stochastic Three-Dimensional Navier-Stokes Equations with Multiplicative Noise. - Jiaohui Xu; Tomás Caraballo; Alexandre N. Carvalho; José Valero 001 (SIAM J. Math. Anal., 2025)