The Impact of Damping and Fractinality in Nonlinear Systems: Solving the Fractional Damped Burgers Equation Using the Coupled Local Fractional Elzaki Adomian Decomposition Method

Jamiu Olasunkanmi Badru & Ojenike Oluwadamilola Temitope, Volume 6 Issue 1, July 2025 Pages 150-161, Published: 2025-07-03

Abstract

This study explores the application of the Fractional Elzaki Adomian Decomposition Method (LFEADM) to the Fractional Damped Burgers Equation, emphasizing the effects of varying damping factors ξ on system dynamics. EADM combines the Elzaki Transform and Adomian Decomposition Method to efficiently handle fractional derivatives and nonlinear terms, transforming the equation into a simpler form. The results reveal that damping influences wave propagation, while zero damping yields behavior that looks exactly like the classical Burgers equation, with solutions that match those found in previous studies.