Convoluted fractional C -semigroups and fractional abstract cauchy problems

Zhan Dong Mei; Ji Gen Peng; Jing Huai Gao

doi:10.1155/2014/357821

Convoluted fractional C -semigroups and fractional abstract cauchy problems

Zhan Dong Mei
, Ji Gen Peng
, Jing Huai Gao

电子与信息学部

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
文章编号	357821
期刊	Abstract and Applied Analysis
卷	2014
DOI	https://doi.org/10.1155/2014/357821
出版状态	已出版 - 2014

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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.",

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AU - Mei, Zhan Dong

AU - Peng, Ji Gen

AU - Gao, Jing Huai

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84893714009

U2 - 10.1155/2014/357821

DO - 10.1155/2014/357821

M3 - 文章

AN - SCOPUS:84893714009

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 357821

ER -

Convoluted fractional C -semigroups and fractional abstract cauchy problems

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