Existence of mild solutions for fractional evolution equations with nonlocal conditions

Boundary value problems

He Yang¹ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, People’s Republic of China

关键词: fractional evolution equations;    nonlocal initial conditions;    existence;    uniqueness;   

DOI  :  10.1186/1687-2770-2012-113

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the existence and uniqueness of mild solutions for a class of fractional evolution equations with nonlocal initial conditions. We present some local growth conditions on a nonlinear part and a nonlocal term to guarantee the existence theorems. An example is given to illustrate the applicability of our results. MSC: 34A12, 35F25.

【 授权许可】

CC BY