%0 Journal Article 
%A Alvarez, Edgardo
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T Hölder continuous solutions for tempered fractional equations and maximal regularity.
%D 2025
%@ 1432-1807
%U http://hdl.handle.net/10498/37332
%X We characterize the Hölder regularity in time of classical solutions for a class of
nonlocal abstract equations in terms of resolvent estimates of the underlying operator,
thus including in our approach those recently incorporated into the literature that study
nonlocal versions of the Moore-Gibson-Thompson equation. This allows us to prove
new maximal regularity results, including a priori estimates. Our results are flexible
enough to allow the admissibility of operators other than the Laplacian. Furthermore,
the presented method is reliable enough to apply these techniques to other nonlocal
abstract equations of interest, obtain similar results and promote new findings.
%~ Universidad de Cádiz