摘要
研究分数阶微分方程多点分数阶边值问题解的存在性与唯一性,利用不动点定理,得到了边值问题存在唯一解和至少存在1个解的充分条件.
In this paper, we investigate existence and uniqueness of solutions for a class of fractional multi-point boundary value problems for fractional differential equations. In the light of fixed-point theorems, some sufficient conditions are obtained to guarantee the existence of a unique solution or at least one solution of the boundary value problems.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第11期188-194,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(60604004)
河北省自然科学基金数学研究专项资助(07M005)
秦皇岛市科技支撑计划项目(201001 A37)
关键词
分数阶微分方程
多点分数阶边值问题
不动点
fractional differential equations
multi-point boundary conditions
fixed point theorems
