New Lagrange multipliers for the time fractional Burgers' equation

Abstract

Using the fractional derivative, considered in the Caputo sense, we study an analytical technique associated with the variational iteration method for the fractional generalized $\alpha$-time Burgers' equation with $\alpha>0$ and obtain approximate solutions in particular cases $0<\alpha\leq 1$ and $1<\alpha\leq 2$.