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/