Group classification of space-time fractional nonlinear Poisson equation

Aminu Ma'aruf Nass, Kassimu Mpungu, Rahmatullah Ibrahim Nuruddeen


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.


Erdelyi-Kober Operator; Lie Algebra; Poisson Equation

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ISSN: 1331-0623 (Print), 1848-8013 (Online)