Convoluted Fractional C‐Semigroups and Fractional Abstract Cauchy Problems

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/357821

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:357821

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