A Yamazaki-type estimate to a space-time fractional diffusion equation

In this work, we develop the Yamazaki inequality and estimates of the Mittag-Leffler family associated with the space-time fractional diffusion equation in 𝐿𝑝-weak spaces. This result generalizes the inequality given by Yamazaki (2000) for the heat semigroup, which was generalized by Ferreira and V...

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Bibliographic Details
Main Authors: Maria Elismara de Sousa Lima, Edmundo Capelas de Oliveira, Arlúcio da Cruz Viana
Format: Article
Language:Portuguese
Published: UNESP 2022-09-01
Series:CQD Revista Eletrônica Paulista de Matemática
Subjects:
Online Access:https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/312