Abstract
In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of $% \kappa$-fractional integrals. Additionally, by extraordinary choices of $n$ and $\kappa$, we give some diminished outcomes. Meanwhile, we also provide the inequalities for $\mathcal{F}$-divergence measures and in probabilistic versions.
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