We contemplate a highly dispersive stochastic perturbed Fokas-Lenells model for fiber Bragg gratings with spatiotemporal dispersion and generated white noise in the Ito meaning. To acquire soliton solutions, we pertain to an exp(-f(xi))-expansion method, a (G/G')-expansion technique and a simplest -equation method. 3D and 2D plots are built to make the wave-propagation behavior clear. The solitons of different kinds obtained by us like dark, singular, periodic, rational and combined solitons are compared with each other. The efficiency of our methods for the underlying model is evaluated.