Initial value problem for fractional evolution equations

Advances in Difference Equations

Hongxia Fan¹  Jia Mu² 

[1] Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, China;Department of Mathematics, Northwest Normal University, Lanzhou, China

关键词: fractional evolution equations;    mild solutions;    initial value problem;    condensing maps;    measure of noncompactness;   

DOI  :  10.1186/1687-1847-2012-49

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction. Mathematics Subject Classification (2000): 34A12; 35F25.

【 授权许可】

CC BY