Considering the stochastic fractional   heat equation driven by Gaussian noise with the covariance function defined   by the heat kernel, we establish Feynman-Kac formulae for both Stratonovich and Skorohod solutions, along with their respective moments. One motivation lies in the occurrence of this equation in the study of a random walk in a random environment which is generated by a field of independent random walks staring from a Poisson field. The talk will be based on joint work with Meng Wang and Wangjun Yuan.