Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems

被引：1

作者：

Mei, Zhan-Dong ^{[1
,2
]}

Peng, Ji-Gen ^{[1
]}

Gao, Jing-Huai ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Inst Wave & Informat, Xian 710049, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

高等学校博士学科点专项科研基金;

关键词：

TIMES INTEGRATED SEMIGROUPS; LAPLACE TRANSFORMS; ALPHA; DIFFUSION; EVOLUTION;

D O I：

10.1155/2014/357821

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：9

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