We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions $L_{p}$, $L_{\infty }$ and $L_{1}$, respectively. We also give some midpoint type inequalities as special cases of our main results.

中文翻译：

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有界函数的分数Ostrowski型不等式

我们首先建立一些涉及Riemann-Liouville分数积分的部分可微函数的结果。然后，分别获得函数类$ L_ {p} $，$ L _ {\ infty} $和$ L_ {1} $中的函数的分数Ostrowski型不等式。我们还给出一些中点类型不等式作为我们主要结果的特殊情况。