Investigation of some exact solutions and conservation laws for the time fractional zeldovich equation
Year: 2025
Type: article
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.
Source: Gulf Journal of Mathematics
Authors: Brahim El Ansari, El Hassan El Kinani
Institution: Université Moulay Ismail de Meknes
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413301590