Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems

Autor: Zhan-Dong Mei, Ji-Gen Peng, Jing-Huai Gao
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2014/357821
Popis: We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. We present two equivalent functional equations associated with convoluted fractional C-semigroup. Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied.
Databáze: Directory of Open Access Journals