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)