Operational Solution of Linear Fractional Differential Equations Using Kamal Transform

Fractional differential equations have become important tools for modelling complex dynamical systems possessing memory and hereditary properties. Analytical solution techniques based on integral transforms provide efficient approaches for handling such equations. In this paper, the Kamal transform, an existing integral transform technique, is employed to obtain analytical solutions of fractional differential equations. Operational properties of the transform are utilised to convert fractional models into algebraic equations, which are solved systematically. The obtained solutions are expressed in terms of special functions and demonstrate the effectiveness of the Kamal transform as a reliable method for fractional calculus problems.