Investigation of some exact solutions and conservation laws for the time fractional zeldovich equation

Abstract

In this paper, the Lie symmetry method is applied to examine the time fractional Zeldovich equation. Based on the obtained infinitesimal generators and for various constants, we show that the studied equation can be transformed into a nonlinear ordinary differential equation in terms of the Erdélyi–Kober fractional operator. Then, we are able to find some of its exact solutions. Using Ibragimov's method, we construct some of its conservation laws.