Group classification of space-time fractional nonlinear Poisson equation

Abstract

In this paper, we present a complete symmetry analysis for the space-time fractional nonlinear Poisson Equation. A minimal symmetry algebra for any arbitrary function $f(u)$ is obtained. A group classification is then carried out by investigating for $f(u)$  that give a larger symmetry algebras. Symmetries are obtained and some exact solutions are constructed.