Article citationsMore>>

Li, M., Chen, C. and Li, F.-B. (2010) On Fractional Powers of Generators of Fractional Resolvent Families. Journal of Functional Analysis, 259, 2702-2726.
https://doi.org/10.1016/j.jfa.2010.07.007

has been cited by the following article:

• TITLE: Is –A-1 an Infinitesimal Generator?

  AUTHORS: Ru Liu

  KEYWORDS: α-Times Resolvent Family, Analytic α-Times Resolvent Family, Fractional Power of Generator

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.10, October 10, 2018

  ABSTRACT: There are some researchers considering the problem whether A-1 is the generator of a bounded C0-semigroup if A generates a bounded C0-semigroup. Actually, it is a very basic and important problem. In this paper, we discuss whether -A-1 is the generator of a bounded α-times resolvent family if -A generates a bounded α-times resolvent family.