In this paper, we present two fixed point results on quasi metric spaces by taking into account a contractive condition that obtained via simulation and Q-functions. Then one of these fixed point results has been applied to guarantee the existence and uniqueness of positive solution of a kind of fractional boundary value problem with Riemann-Liouville fractional derivative.

中文翻译：

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拟度量空间上基于新不动点的分数阶边值问题的存在唯一性定理

在本文中，我们考虑了通过模拟和Q函数获得的收缩条件，在准度量空间上给出了两个不动点结果。然后使用这些不动点结果之一来保证一类带有Riemann-Liouville分数阶导数的分数边值问题的正解的存在性和唯一性。