Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative

Abstract

In this article, we introduce the residual power series method (RPSM) for finding approximate solutions of the time-fractional Burgers type equations using the conformable fractional derivative definition. This definition is simple and effective in the solution procedure of the fractional differential equations that have complicated solutions with classical fractional derivative definitions like Caputo and Riemann-Liouville. The results indicate the proposed method gives significant and reliable solutions.