Abstract
The main aim of this paper is to give exact solutions for the space-time-fractional Zakharov-Kuznetsov equation modified with variable coefficients. Our proposed technique is based on employing white noise analysis, Hermite transform, the homogeneous balance principle, and a modified tanh-coth method. Some white noise functional solutions for Wick-type stochastic space-time-fractional Zakharov-Kuznetsov equations with variable coefficients are established. Detailed computations and an implemented example are explicitly provided.