Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems

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 fractiona...

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Bibliographic Details
Main Authors: Zhan-Dong Mei, Ji-Gen Peng, Jing-Huai Gao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/357821