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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
引用本文:张宏武,贾秀梅,晏兴学.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[J].河西学院学报,2012(2):41-47,30.
作者姓名:张宏武  贾秀梅  晏兴学
作者单位:河西学院数学与统计学院
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.

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

Existence of Solutions for Fractional Mixed Volterra-Fredholm-type Functional Integrodifferential Inclusions with Nonlocal Conditions
Zhang Hong-wu Jia Xiu-mei Yan Xing-xue.Existence of Solutions for Fractional Mixed Volterra-Fredholm-type Functional Integrodifferential Inclusions with Nonlocal Conditions[J].Journal of Hexi University,2012(2):41-47,30.
Authors:Zhang Hong-wu Jia Xiu-mei Yan Xing-xue
Institution:Zhang Hong-wu Jia Xiu-mei Yan Xing-xue(School of Mathematics and Statistics,Hexi University,Zhangye,Gansu 734000)
Abstract: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.
Keywords:Mixed Volterra-Fredholm-type functional integrodifferential inclusions  Fractional derivative  Analytic semi-group  Fixed point  Nonlocal condition
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