非稠定分数次微分方程在非局部条件下解的存在性(英文)  

Existence Results for Nondensely Defined Fractional Differential Equations with Nonlocal Conditions

作　　者：张祖峰[1,2] 刘斌[1] 

机构地区：[1]华中科技大学数学与统计学院,湖北武汉430074 [2]宿州学院数学与统计学院,安徽宿州234000

出　　处：《应用数学》2012年第2期403-412,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11171122);the Anhui Province College Excellent Young Talents Fund Project(2010SQRL195)

摘　　要：本文利用积分半群理论,Krasnoselskii不动点定理与压缩映象原理研究了非稠定分数次发展方程在非局部条件下积分解的存在性与唯一性.This paper deals with the existence and uniqueness of integral solution for nondensely defined fractional evolution differential equations with nonlocal conditions. （）ur approach is based on integrated semigroup theory, the Krasnoselskii＇s fixed point theorem and the Banach contraction mapping principle.

关 键 词：存在唯一性 分式微分方程 非稠定 积分半群 积分解 

分 类 号：O175.6[理学—数学] O179.91[理学—基础数学]