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In this paper, the main purpose is to consider a number of results concerningboundedness of multilinear fractional Calder\'{o}n-Zygmund operators withkernels of mild regularity. Let $T_{\alpha}$ be a multilinear fractionalCalder\'{o}n-Zygmund operators of type $\omega(t)$ with $\omega$ beingnondecreasing and $\omega \in \text{Dini}(1)$. The end-point weak-typeestimates for multilinear operator $T_{\alpha}$ are obtained. Moreover, someboundedness properties of the multilinear fractional operators are alsoestablished on variable exponent Lebesgue spaces.

Multilinear fractional Calder\'{o}n-Zygmund operators with Dini type kernel