Efficient Method for Solving Systems of Coupled Nonlinear Fractional Partial Differential Equations

The current manuscript presents an application of the Sumudu decomposition method (SDM) in efficiently tackling the systems of coupled nonlinear partial fractional differential equations. The technique combines the strengths of the Adomian decomposition method and the Sumudu transform, enabling the transformation of complex systems into rapidly converging series solutions. The efficacy of the technique is then portrayed on various nonlinear coupled fractional models, where approximate solutions are successfully obtained. Furthermore, the computational results indicate efficient numerical performance of the proposed approach for the cases considered. Certainly, the study’s results demonstrate that SDM is an effective and reliable technique for solving the examined class of fractional-order systems.