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.
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页码：3283 / 3298
页数：16
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