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Convoluted Fractional -Semigroups and Fractional Abstract Cauchy Problems

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  • Zhan-Dong Mei
  • Ji-Gen Peng
  • Jing-Huai Gao

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.

Suggested Citation

  • Zhan-Dong Mei & Ji-Gen Peng & Jing-Huai Gao, 2014. "Convoluted Fractional -Semigroups and Fractional Abstract Cauchy Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, January.
    • Handle: RePEc:hin:jnlaaa:357821
    DOI: 10.1155/2014/357821
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