Regularity of mild Solutions for fractional abstract Cauchy problem with order α∈(1,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{
Regularity of mild Solutions for fractional abstract Cauchy problem with order α∈(1,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{
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DOI：
10.1007/s00033-015-0577-z
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发表时间：
2015-09
期刊：
影响因子：
--
通讯作者：
Yaning Li
中科院分区：
文献类型：
--
作者：
Yaning Li
本文讨论了带序分数阶抽象柯西问题弱解的正则性。基于解算子和解析解算子的性质，我们得到了一个温和解成为经典解的充分条件，如果柯西问题有一个解析解算子，我们得到了更强的结果。
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.