Convoluted Fractional -Semigroups and Fractional Abstract Cauchy Problems

Zhan-Dong Mei, Ji-Gen Peng and Jing-Huai Gao

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We present the notion of convoluted fractional -semigroup, which is the generalization of convoluted -semigroup in the Banach space setting. We present two equivalent functional equations associated with convoluted fractional -semigroup. Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:357821

DOI: 10.1155/2014/357821

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