We interest to $\alpha$-times integrated semigroups that are the solution of the $(\alpha+1)$-times integrated Cauchy problems. Particulary, we characterize partially the different spectrums of $\alpha$-times integrated semigroups using the spectrums of its generators.
@article{40392, title = {Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {38}, year = {2019}, doi = {10.5269/bspm.v38i5.40392}, language = {EN}, url = {http://dml.mathdoc.fr/item/40392} }
Tajmouati, Abdelaziz; El Bakkali, Abdeslam; Mohamed Ahmed, Mohamed Baba. Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i5.40392. http://gdmltest.u-ga.fr/item/40392/