Blow-up and global existence of solutions for time-space fractional pseudo-parabolic equation

In this article, we consider the Cauchy problem for the following time-space fractional pseudo-parabolic equations $ \begin{equation*} \left\{\begin{array}{l} { }_{0}^{C} D_{t}^{\alpha}(I-m \Delta ) u+\left ( - \Delta \right ) ^{\frac{\beta }{2} } u = |u|^{p-1} u, \quad x \in \mathbb{R}^{N}, \q...

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Bibliographic Details
Main Authors: Yaning Li, Yuting Yang
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023909?viewType=HTML