A New Double Transform for Nonconformable Derivatives

In this article, we present the nonconformable fractional derivative of the double Sumudu transformation. In this study, we investigate the main features and benefits of this new technique and then apply it to solve several fractional nonconformable partial differential equations. To test the validity of the latest suggested method and its efficiency, we consider three different examples and perform a comparative study with the exact results. We also use numerical tests to ensure the proposed method is correct and useful. The graphs and tables we choose to indicate how the method works in different fractional situations match the exact results. The results indicate that the new method is effective and simple to use for finding suitable solutions to various types of fractional partial differential equations, including those with nonconformable fractional derivatives.