Employing Sub-Equation Methods to Solve Non-Linear Time Fractional PDEs

Abstract

The paper is used to establish precise solutions for non-linear time-fractions, using the latest fractional derivative and direct algebraic approach. The sub-equation approach is introduced in the paper to find exact solutions of non-linear, fractional PDEs. In this scenario, the fractional differential transform approach was used to simplify the fractional PDE of the non-linear system to an ordinary differential equation. From these three families were obtained mostly with the help of conceptual equations with a precise empirical solution. The results show the presented approach to obtain approximation solutions of non-linear fractional PDEs is very successful and easy to implement.