Symmetry Analysis of Time Fractional Convection-reaction-diffusion Equation with a Delay

Year 2019, Volume: 2 Issue: 3, 113 - 124, 01.10.2019

Aminu Nass Kassimu Mpungu

Abstract

Lie symmetry theory of partial differential equations with both fractional and delay phenomena is considered. A complete group classification of time fractional convection-reaction-diffusion equation with a delay is presented. The Minimal symmetry algebra is found to be one dimensional. The classification is used to find symmetry reductions and exact solutions.

Keywords

Lie symmetries; Fractional Delay; B$\ddot{a}$ckland Operator; Mittag-Leffler function

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