Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations

We study the Cauchy problem for a system of semi-linear coupled fractional-diffusion equations with polynomial nonlinearities posed in $\mathbb{R}_{+}\times \mathbb{R}^N$. Under appropriate conditions on the exponents and the orders of the fractional time derivatives, we present a critical value...

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Bibliographic Details
Main Authors: Bashir Ahmad, Ahmed Alsaedi, Mohamed Berbiche, Mokhtar Kirane
Format: Article
Language:English
Published: Texas State University 2020-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/110/abstr.html