机构地区: 中国矿业大学理学院
出 处: 《四川理工学院学报(自然科学版)》 2011年第3期267-270,共4页
摘 要: 目前关于分数阶微分方程多点边值问题的研究还不多见,受相关文献启发,文章讨论一类分数阶多点边值问题正解的存在性,运用锥上的不动点指数结合相应的格林函数,得出了可数多正解的存在性,推广了一些整数阶的相关结果。 Not so many papers discuss multi-point fractional order boundary value problems.Inspired by related works,in this paper,we consider the existence of positive solutions for some nonlinear fractional order m-point boundary value problem.By using the fixed-point index theory in a cone combined with associated Green function,we show that there exists countably many positive solutions,so it can be seen as a promotion of integer-order boundary value problem.