A note on the initial value problem of fractional evolution equations

Advances in Difference Equations

Xuping Zhang¹  Pengyu Chen¹  Yongxiang Li² 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, P.R. China;Department of Mathematics, Zhixing College of Northwest Normal University, Lanzhou, P.R. China

关键词: fractional evolution equation;    initial value problem;    continuous dependence;    35R11;    47J35;   

DOI  :  10.1186/s13662-015-0470-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional spaces. The results obtained in this paper improve and extend some related conclusions on this topic. This paper can be considered as a contribution to this emerging field.

【 授权许可】

CC BY