@article{Zhou2022, 
author = {Yong Zhou and Jia Wei He and Ahmed Alsaedi and Bashir Ahmad},
title = {The well-posedness for semilinear time fractional wave equations on  RN},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {8},
pages = {2981-3003},
keywords = {fractional derivative, well-posedness, fractional wave equations},
url = {https://www.sciopen.com/article/10.3934/era.2022151},
doi = {10.3934/era.2022151},
abstract = {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  L2-solutions for linear and semilinear problems. The methods of this paper rely upon the relevant wave operators estimates, Sobolev embedding and fixed point arguments.}
}