Exact Solutions for Stochastic Fractional Zhiber-Shabat Equations

Abstract

This paper is devoted to give exact solutions of the variable coefficient fractional Zhiber -Shabat equation with space-time-fractional derivatives. Moreover, by using the Hermite transform and the homogeneous balance principle, the white noise functional solutions for the Wick-type stochastic fractional Zhiber-Shabat equation are explicitly shown. Detailed computations and implemented examples are explicitly provided.