Symmetry analysis of space-time fractional poisson equation with a delay

Abstract

In this paper, we extended Lie symmetry theory to the class of spacetime fractional differential equation with a delay and carried out a complete group classification of space-time fractional Poisson equation with a constant delay. The admitted symmetries found are used to obtained some exact solutions.

Key words: Mittag-Leffler function, Lie symmetries, fractional delay equation