On the semilinear heat equation with the Grushin operator . 2023. (with G. Oliveira). (ArXiv)
Local and global solvability of the Grushin heat equation with mixed nonlinear memory and reaction terms. 2025. (with A. Fino). (ArXiv).
Duality estimates for subdiffusion problems including time-fractional porous medium type equations. 2025. (with P. Wolejko, and R. Zacher). (ArXiv).
Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities. Mediterranean Journal of Mathematics. (2026) 23:52. (with A. Fino). (ArXiv)
On the heat equation involving a Grushin operator in Marcinkiewcz spaces. Revista Matemática Complutense. 2025. (with A. E. Kogoj and M. Lima). (ArXiv)
Self-similar solutions for the fractional viscous Burgers equation in Marcinkiewicz spaces. Computational and Applied Mathematics (2025) 44:94. (with M. Lima and E. Capelas de Oliveira).
Local and global solutions for fractional parabolic-parabolic Keller-Segel system. Zeitschrift für Angewandte Mathematik und Physik, v. 75, 172, (2024). (with M. Bezerra and C. Cuevas).
On the Boussinesq system with fractional memory in pseudo-measure spaces. Asymptotic Analysis, vol. 139, no. 3-4, pp. 157-181, 2024 (with F. Poblete and C. Silva).
Partial integrodifferential equations with critical nonlinearities, Nonlinear Differential Equations and Applications v. 29, p. 67, 2022.
Global solutions to the nonlocal Navier-Stokes equations. Discrete and Continuous Dynamical Systems B, 27(5): 2515-2535 (with J. Azevedo and J.C. Pozo).
A nonlinear fractional diffusion equation: Well-posedness, comparison results, and blow-up. Journal of Mathematical Analysis and Applications, v. 505, p. 125524, 2022. (with B. de Andrade and G. Siracusa).
A Yamazaki-type estimate to a space-time fractional diffusion equation. Revista Eletrônica Paulista de Matemática, v. 22, p. 48-57, 2022. (with M. Lima and E. Capelas de Oliveira).
Variational Formulation and A Priori Estimates for the Galerkin Method for a Fractional Diffusion Equation. Trends in Computational and Applied Mathematics, v. 23, p. 673-682, 2022. (with M. Lima and E. Capelas de Oliveira).
Local existence and non-existence for a fractional reaction-diffusion equation in Lebesgue spaces. Fractional Calculus and Applied Analysis, v. 24, p. 1193-1219, 2021. (with R. Castillo and M. Loayza).
Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity. SN Partial Differential Equations and Applications, 2:17, 2021. (with H. Gomes).
Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces. Chaos, Solitons, and Fractals, v. 145, 110756, 2021. (with A. Caicedo, C. Cuevas and E. Mateus).
Lq-solvability for an equation of viscoelasticity in power type material. Zeitschrift für Angewandte Mathematik und Physik, v. 72, p. 1-20, 2021 . (with C. Silva and B. de Andrade)
L∞-solutions for the ultra-slow reaction-diffusion equation. Mathematical Methods in the Applied Sciences, v. 42, n. 18, 2019. (with J. C. Pozo)
A local theory for a fractional reaction-diffusion equation. Communications in Contemporary Mathematics, v. 21, n. 06, 2019.
Abstract Volterra integrodifferential equations with applications to parabolic models with memory. Mathematische Annalen, v. 369, p. 1131-1175, 2017. (with B. de Andrade)
On a fractional reaction-diffusion equation. Zeitschrift für Angewandte Mathematik und Physik, v. 68, p. 59, 2017. (with B. de Andrade)
A diffusive logistic equation with concentrated and nonlocal sources. Mathematical Methods in the Applied Sciences, v. 40, p. 5975-5985, 2017. (with A. Caicedo, F. W. Cruz, and R. F. Limeira)
Integrodifferential equations with applications to a plate equation with memory. Mathematische Nachrichten, v. 289, p. 2159-2172, 2016. (with B. de Andrade)
Self-similar solutions for a superdiffusive heat equation with gradient nonlinearity. Electronic Journal of Differential Equations, v. 2016, p. 1-20, 2016. (with M. de Almeida)
Local well-posedness for a Lotka-Volterra system in Besov spaces. Computers & Mathematics with Applications, v. 69, p. 667-674, 2015.
A diffusive logistic equation with memory in Bessel potential spaces. Bulletin of the Australian Mathematical Society, v. 92, p. 251-258, 2015. (with A. Caicedo)
Almost automorphic solutions for evolutions equations. Topological Methods in Nonlinear Analysis, v. 44, p. 105, 2014. (with B. de Andrade and E. Mateus)