Monotone iterative technique for impulsive fractional evolution equations

Journal of inequalities and applications

Jia Mu¹ 

关键词: impulsive fractional evolution equations;    existence and uniqueness;    monotone iterative technique;    Gronwall inequality;    noncompactness measure;   

DOI  :  10.1186/1029-242X-2011-125

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, the well-known monotone iterative technique is extended for impulsive fractional evolution equations. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, some existence and uniqueness results are obtained. A generalized Gronwall inequality for fractional differential equation is also used. As an application that illustrates the abstract results, an example is given. 2000 MSC: 26A33; 34K30; 34K45.

【 授权许可】

CC BY