Is there any possibility to reduce a given denominator tr/p from a term 1/tr/p of an integral after having applied the Feynman's Integral trick and that this step to lead to the domain of the Fractional Laplace Transform analysis when r/p is watch, for example, in F-r/p (s) , s complex variable. The topic seems to me very interesting because one could think in a kind of "continuation" of fractional Laplace transforms to a more general panorama where one can resolve certain divergent series within the context of regularized sum given by certain integrals. For example, if one needs to solve an integral that leads to understand a Laplace definition where the denominator can be "eliminated" conveniently and to compute a function involving a particular series.

Can we speak about Fractional Feynman Trick on Laplace transforms or other contexts?

Thanks