Mild solutions of fractional evolution equations on an unbounded interval

Advances in Difference Equations

Zufeng Zhang¹  Qun Ning¹  Hongyan Wang¹ 

[1] School of Mathematics and Statistics, Suzhou University, Suzhou, P.R. China

关键词: unbounded interval;    fractional evolution equations;    mild solution;    measure of noncompactness;   

DOI  :  10.1186/1687-1847-2014-27

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence results for mild solutions of semilinear fractional evolution equations on an unbounded interval. The methods used in the paper are based on the concept of measure of noncompactness in Fréchet space and classical Tichonov fixed-point theorem. An example is also given to illustrate our main results. MSC:26A33, 26A42.

【 授权许可】

CC BY