具非局部条件的分数混合Volterra-Fredholm型泛函微积分包含解的存在性  

Existence of Solutions for Fractional Mixed Volterra-Fredholm-type Functional Integrodifferential Inclusions with Nonlocal Conditions

作　　者：张宏武[1] 贾秀梅[1] 晏兴学[1] 

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《河西学院学报》2012年第2期41-47,30,共8页Journal of Hexi University

摘　　要：本文运用分数幂算子和Bohnenblust-Karlin不动点定理,研究了一类具非局部条件的分数混合Volterra-Fredholm型泛函微积分包含-mild解的存在性.In this paper, we prove the existence of ？-mild solutions for nonlocal fractional mixed Volterra- Fredholm-type functional integrodifferential inclusions. The results are obtained by using the theory of fractional operators and Bohnenblust-Karlin＇s fixed point theorem.

关 键 词：混合Volterra-Fredholm型泛函积微分包含解 分数阶导数 解析半群 不动点 非局部条件 

分 类 号：O175[理学—数学]