Regularity of mild Solutions for fractional abstract Cauchy problem with order α ∈(1,2)

被引：0

作者：

Li, Yaning ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional Cauchy problem; Mittag-Leffler function; Operator family; Solution operator; Mild solution; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; DERIVATIVES; EXISTENCE;

D O I：

10.1007/s00033-015-0577-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the regularity of mild Solutions for fractional abstract Cauchy problem with order . Based on properties of solution operator and analytic solution operator, we obtain the sufficient condition under which a mild solution becomes a classical solution, and if the Cauchy problem has an analytic solution operator, we obtain more stronger results.

引用

页码：3283 / 3298

页数：16

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