Effective Iterative Procedure for Delay Fractional Partial Differential Equations Using Sumudu Decomposition Method

The present study aims to integrate the Adomian decomposition method with the Sumudu transform for solving delay fractional partial differential equations. Integrating these two methods enhances accuracy and computational efficiency, providing an effective approach for handling delays in fractional-order models. The decomposition method effectively decomposes complex fractional differential equations into convergent series, while the Sumudu transform simplifies and transforms these equations, facilitating the analysis of delayed systems. Its effectiveness has been demonstrated through multiple examples.