In this work a Feynman-Kac path integral method based on Lévy measure has been proposed for solving the Cauchy problems associated with the space-time fractional Schrödinger equations arising in interacting systems in fractional quantum mechanics. The Continuous Time Random Walk(CTRW) model is used to simulate the underlying Lévy process-a generalized Wiener process. Since we are interested to capture the lowest energy state of the quantum systems, we use Pareto distributions as opposed to Mittag-Leffler random variables, which are more suitable for finite time. Adopting the CTRW model 1 we have been able to simulate the space-time fractional diffusion process with comparable simplicity and covergence rate as in the case of standard diffusion processes. We hope this paves an elegant way to solve space-time diffusion equations numerically through Fractional Feynman-Kac path integral technique as an alternative to fractional calculus.