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math.AP2026
Abstract integrodifferential equations and applications
Bruno de Andrade, Marcos Gabriel de Santana
In this work, we study the initial value problem associated with an abstract integrodifferential equation in interpolation scales. We prove local-in-time existence, uniqueness, con…
math.AP2025
Well-posedness and regularity theory for the fractional diffusion-wave equation in Lebesgue spaces
Bruno de Andrade, Naldisson Santos
This paper is dedicated to the study of the semilinear fractional diffusion-wave equation. We provide estimates on the families of linear operators related to the problem in the fr…