Soham Transform in Fractional Differential Equations

Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integral transform methods help to simplify fractional differential equations into algebraic equations. Enable the use of classical methods to solve fractional differential equations. Findings: In this paper, the Soham transform can solve linear homogeneous and non-homogeneous Fractional Differential Equations with constant coefficients. Finally, we use this integral transform to obtain the analytical solution of non-homogeneous fractional differential equations. Novelty: The Soham transform method is a suitable and very effective tool for obtaining analytical solutions of fractional differential equations with constant coefficients. Soham Transform is more multipurpose as the Laplace transform is limited to fractional differential equations. Soham Transform is in the development stage. Keywords: Soham Transform, Fractional Differential Equations, Integral transforms, Reimann­ Liouville Fractional Integral, Caputo Fractional Derivative