应用数学2012,Vol.25Issue(2):403-412,10.
非稠定分数次微分方程在非局部条件下解的存在性
Existence Results for Nondensely Defined Fractional Differential Equations with Nonlocal Conditions
摘要
Abstract
This paper deals with the existence and uniqueness of integral solution for nondensely defined fractional evolution differential equations with nonlocal conditions.Our 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Key words
Exi(s)tence and uniqueness/Fractional differential equations/Nondense domain/Integrated semigroup/Integral solution分类
数理科学引用本文复制引用
张祖峰,刘斌..非稠定分数次微分方程在非局部条件下解的存在性[J].应用数学,2012,25(2):403-412,10.基金项目
Supported by the National Natural Science Foundation of China (11171122),and the Anhui Province College Excellent Young Talents Fund Project (2010SQRL195) (11171122)