The well-posedness for semilinear time fractional wave equations on R<sup>N</sup>

The well-posedness for semilinear time fractional wave equations on R<sup>N</sup>

This paper is concerned with the semilinear time fractional wave equations on the whole Euclidean space, also known as the super-diffusive equations. Considering the initial data in the fractional Sobolev spaces, we prove the local/global well-posedness results of $ L^2 $-solutions for linear and se...

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Bibliographic Details
Main Authors: Yong Zhou, Jia Wei He, Ahmed Alsaedi, Bashir Ahmad
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:Electronic Research Archive
Subjects:
fractional derivative
fractional wave equations
well-posedness
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022151?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022151?viewType=HTML

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