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

Abstract

In this paper, we extended Lie symmetry theory to the class of space-time 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.

Mathematics Subject Classification (2010):

• 35B06
• 35R11
• 34A08

Key words:

• Mittag-Leffler function
• Lie symmetries
• fractional delay equation