World's Best Scientists 2026 revealed!
Tomás Caraballo

Tomás Caraballo

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Mathematics
Spain
2026

D-Index & Metrics

Mathematics

D-Index
58
Citations
10174
World Ranking
653
National Ranking
10

Research.com Recognitions

  • 2026 - Research.com Mathematics in Spain Leader Award
  • 2025 - Research.com Mathematics in Spain Leader Award
  • 2022 - Research.com Mathematics in Spain Leader Award

Overview

Tomás Caraballo is affiliated with the University of Seville in Spain and has a significant body of work in mathematics, engineering, and computer science. Their research spans 189 publications in mathematics, 143 in engineering, and 118 in computer science, indicating a multidisciplinary approach within these related fields.

The scientist's primary subfields of study include control and systems engineering, with 137 publications; computational theory and mathematics, accounting for 82 works; applied mathematics, with 81 publications; mathematical physics, contributing 44 papers; and modeling and simulation, totaling 42 documented studies.

Tomás Caraballo's research topics cover a range of advanced mathematical and theoretical areas. Key topics include stability and controllability of differential equations (264 publications), advanced mathematical modeling in engineering (164), nonlinear differential equations analysis (84), stochastic processes and financial applications (80), mathematical and theoretical epidemiology and ecology models (66), fractional differential equations solutions (44), and nonlinear dynamics and pattern formation (42).

Frequent co-authors collaborating with Tomás Caraballo are Nguyen Huy Tuan (18 papers), Jiaohui Xu (17 papers), José Valero (13 papers), Yangrong Li (13 papers), and Mohamed Ali Hammami (12 papers).

The scientist frequently publishes in several academic venues. The top venues for Tomás Caraballo's work include arXiv (Cornell University) with 20 publications, Journal of Differential Equations and Communications in Nonlinear Science and Numerical Simulation each with 11 papers, Applied Mathematics & Optimization and Discrete and Continuous Dynamical Systems - S, both having 10 publications.

Recent papers by Tomás Caraballo focus on advanced topics in stochastic and differential equations. These include:

  • Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains, 2020, Proceedings of the Royal Society of Edinburgh Section A Mathematics
  • Non-autonomous nonlocal partial differential equations with delay and memory, 2020, Journal of Differential Equations
  • On initial and terminal value problems for fractional nonclassical diffusion equations, 2020, Proceedings of the American Mathematical Society
  • Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching, 2020, Chaos Solitons & Fractals
  • Trajectory statistical solutions and Liouville type equations for evolution equations: Abstract results and applications, 2020, Journal of Differential Equations

Best Publications

  • Pullback attractors for asymptotically compact non-autonomous dynamical systems

    T Caraballo;Grzegorz Łukaszewicz;J Real

  • The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion

    T. Caraballo;M.J. Garrido-Atienza;T. Taniguchi

  • Attractors for 2D-Navier–Stokes models with delays☆

    T Caraballo;J Real

  • Exponentially Stable Stationary Solutions for Stochastic EvolutionEquations and Their Perturbation

    Tomás Caraballo;Peter E. Kloeden;Björn Schmalfuß

  • Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems

    T. Caraballo;J. A. Langa;V. S. Melnik;J. Valero

  • ON THE UPPER SEMICONTINUITY OF COCYCLE ATTRACTORS FOR NON-AUTONOMOUS AND RANDOM DYNAMICAL SYSTEMS

    T. Caraballo;J.A. Langa

  • Non--autonomous and random attractors for delay random semilinear equations without uniqueness

    Tomás Caraballo;M. J. Garrido-Atienza;B. Schmalfuss;José Valero

  • Upper semicontinuity of attractors for small random perturbations of dynamical systems

    Tomas Caraballo;Josk A. Langa;James C. Robinson

  • Navier-Stokes equations with delays

    Tomás Caraballo;José Real

  • Pullback attractors for non-autonomous 2D-Navier–Stokes equations in some unbounded domains

    Tomás Caraballo;Grzegorz Łukaszewicz;José Real

  • Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays

    Tomás Caraballo;José Real

  • Attractors for stochastic lattice dynamical systems with a multiplicative noise

    Tomás Caraballo;Kening Lu

  • Autonomous and non-autonomous attractors for differential equations with delays

    T. Caraballo;P. Marı́n-Rubio;J. Valero

  • Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities

    Tomás Caraballo;Francisco Morillas;José Valero

  • Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions

    Tomás Caraballo;María J. Garrido–Atienza;Björn Schmalfuss;José Valero

  • A stochastic pitchfork bifurcation in a reaction-diffusion equation

    Tomás Caraballo;José A. Langa;James C. Robinson

  • Exponential Stability of Mild Solutions of Stochastic Partial Differential Equations with Delays

    Tomás Caraballo;Kai Liu

  • Stability and random attractors for a reaction-diffusion equation with multiplicative noise

    Tomás Caraballo;José A. Langa;James C. Robinson

  • Asymptotic exponential stability of stochastic partial differential equations with delay

    TomáS Caraballo

  • Invariant Manifolds for Random and Stochastic Partial Differential Equations

    Tomás Caraballo;Jinqiao Duany;Kening Lu;Björn Schmalfuβ

  • RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES

    Francisco Balibrea;Tomás Caraballo;Peter E. Kloeden;José Valero

Frequent Co-Authors

José A. Langa
José A. Langa University of Seville
José Real
José Real University of Seville
Peter E. Kloeden
Peter E. Kloeden University of Tübingen
José Valero
José Valero Miguel Hernandez University
Alexandre N. Carvalho
Alexandre N. Carvalho Universidade de São Paulo
Igor Chueshov
Igor Chueshov V. N. Karazin Kharkiv National University
Kening Lu
Kening Lu Brigham Young University
Zdzisław Brzeźniak
Zdzisław Brzeźniak University of York
Rouzbeh Abbassi
Rouzbeh Abbassi Macquarie University
Rajan Rakkiyappan
Rajan Rakkiyappan Bharathiar University

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