Sumudu Transform Pade' Approximation Method for Solving Fractional Physical Models

:This study offers a recent technique named the Sumudu Transform Pade' Approximation Method (STPAM) to treat fractional physical models. It comprises the Pade' Approximation Method (PAM) and the Sumudu Transform Method (STM).The Sumudu Transform Pade' Approximation Method (STPAM) enhances the accumulation rate of the truncated Maclaurin series by stratifying the Pade' method in the Sumudu transform method chain solution. The Caputo's fractional derivative was employed. It is necessary for simulating issues with non-local features and phenomena that account for interactions in the past. The Caputo fractional operator is more adaptable for analysis and can handle initial and boundary value issues. The principal objective of the study is to use the Sumudu Transform Pade' Approximation Method (STPAM) to solve fractional models that arise in physics. We solved fractional physical models using the Sumudu transform method (STM) and compared the results to the exact solutions and the approximate Pade' approximation method (PAM) to assess the quality of the Sumudu Transform Pade' Approximation Method (STPAM). The findings highlight STPAM's advantages, including its ease of use, effectiveness, universality, cleanliness, packability, quality, and clarity.