The finite time blow-up for Caputo-Hadamard fractional diffusion equation involving nonlinear memory

The finite time blow-up for Caputo-Hadamard fractional diffusion equation involving nonlinear memory

In this article, we focus on the blow-up problem of solution to Caputo-Hadamard fractional diffusion equation with fractional Laplacian and nonlinear memory. By virtue of the fundamental solutions of the corresponding linear and nonhomogeneous equation, we introduce a mild solution of the given equa...

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Bibliographic Details
Main Author: Zhiqiang Li
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:AIMS Mathematics
Subjects:
caputo-hadamard derivative
fractional laplacian
nonlinear memory
finite time blow-up
fixed point argument
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022715?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022715?viewType=HTML

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