$\alpha $-times integrated semigroups: local and global
Volume 154 / 2003
                    
                    
                        Studia Mathematica 154 (2003), 243-252                    
                                        
                        MSC: 47D62, 47D60, 47D03, 47D06.                    
                                        
                        DOI: 10.4064/sm154-3-5                    
                                    
                                                Abstract
We investigate the relations between local $\alpha $-times integrated semigroups and $(\alpha +1)$-times integrated Cauchy problems, and then the relations between global $\alpha $-times integrated semigroups and regularized semigroups.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            