There are some researchers considering the problem whether A-1 is the generator of a bounded C0-semigroup if A generates......

The α-times integrated C semigroups, α > 0, are introduced and analyzed. The Laplace inverse transformation for α-tim......

Let and A be the generator of an -times resolvent family on a Banach space X. It is shown that the fractional Cauchy pro......

In this paper, based on the theories of α-times Integrated Cosine Function, we discuss the approximation theorem for α......

In this paper, α -times integrated C-regularized cosine functions and mild α-times integrated C-existence families of ......

The infinite generator of α-times Integrated C semigroups and the properties of resolvent are given. At the same time, ......