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.
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页数：9
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