<p>This study proposes a numerical approach for solving the nonlinear fractional Duffing oscillator equation utilizing the Multistage Differential Transformation Method (MsDTM). The MsDTM offers a straightforward numerical framework that avoids the need for discretizations or normalization processes. By employing the Differential Transformation Method (DTM), the original problem is reformulated into a simplified recursive computational scheme. A notable limitation of the conventional DTM lies in its restricted convergence over large domains due to the localized nature of the underlying Taylor series expansion. To mitigate this issue, the computational domain is partitioned into smaller sub-intervals, within which the DTM is independently applied. This multistage application enhances the method’s accuracy and stability. The precision of the MsDTM is influenced by the selected time step and the number of iterations; however, satisfactory results can often be achieved with relatively few iterations. In this work, the method is further adapted to address a nonhomogeneous, nonlinear fractional Duffing oscillator equation, demonstrating its efficacy in handling nonhomogeneous fractional-order dynamical systems.</p>