Application of ARA-Residual Power Series Method in Solving Systems of Fractional Differential Equations

In this research, systems of linear and nonlinear differential equations fractional order are solved analytically using the novel interesting method: ARA- Residual Power Series (ARA-RPS) technique. This approach technique is based on combination residual power series scheme with ARA transform to establish analytical approximate solutions in a fast convergent representation concept limit. The proposed method needs less time effort compared To prove simplicity, applicability, reliability presented method, three numerical examples simulated. obtained results show that ARA-RPS applicable, simple, effective get engineering physical problems.