We investigate the relations between local α-times integrated semigroups and (α + 1)-times integrated Cauchy problems, and then the relations between global α-times integrated semigroups and regularized semigroups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-5,
author = {Miao Li and Quan Zheng},
title = {$\alpha$-times integrated semigroups: local and global},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {243-252},
zbl = {1052.47041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-5}
}
Miao Li; Quan Zheng. α-times integrated semigroups: local and global. Studia Mathematica, Tome 157 (2003) pp. 243-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-5/