On asymptotics of solutions for superdiffusion and subdiffusion equations with the Riemann-Liouville fractional derivative

On asymptotics of solutions for superdiffusion and subdiffusion equations with the Riemann-Liouville fractional derivative

In the present paper, we focus on the study of the asymptotic behaviors of solutions for the Cauchy problem of time-space fractional superdiffusion and subdiffusion equations with integral initial conditions, where the Riemann-Liouville derivative is used in the temporal direction and the integral f...

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Bibliographic Details
Main Authors: Zhiqiang Li, Yanzhe Fan
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
riemann-liouville derivative
integral fractional laplacian
fox h-function
asymptotic behavior
gradient estimate
large time behavior
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023980?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023980?viewType=HTML

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