Solution of a System of Fractional Differential Equations using Elzaki Decomposition Method

This paper presents a novel and efficient semi-analytical approach for solving systems of fractional differential equations (FDEs) using the Elzaki Decomposition Method (). The method combines the strengths of the Elzaki transform and the Adomian decomposition method to obtain exact or approximate solutions of linear and nonlinear FDEs. Four illustrative examples are discussed to demonstrate the efficiency, reliability, and simplicity of the method. The obtained solutions show rapid convergence with minimal computational effort.