Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

Boundary value problems

Jia Mu¹ 

[1] School of Mathematics and Computer Science Institute, Northwest University for Nationalities, Lanzhou, People’s Republic of China

关键词: impulsive fractional evolution equations;    nonlocal initial conditions;    extremal mild solutions;    monotone iterative technique;   

DOI  :  10.1186/1687-2770-2012-71

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, the theory of positive semigroup of operators and the monotone iterative technique are extended for the impulsive fractional evolution equations with nonlocal initial conditions. The existence results of extremal mild solutions are obtained. As an application that illustrates the abstract results, an example is given.

【 授权许可】

CC BY