Blow-Up and Global Existence of Solutions for the Time Fractional Reaction–Diffusion Equation

In this paper, we investigate a reaction–diffusion equation with a Caputo fractional derivative in time and with boundary conditions. According to the principle of contraction mapping, we first prove the existence and uniqueness of local solutions. Then, under some conditions of the initial data, we...

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Bibliographic Details
Main Authors: Linfei Shi, Wenguang Cheng, Jinjin Mao, Tianzhou Xu
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/24/3248