An efficient technique for solving fractional-order diffusion equations arising in oil pollution

In this article, non-linear time-fractional diffusion equations are considered to describe oil pollution in the water. The latest technique, fractional reduced differential transform method (FRDTM), is used to ac-quire approximate solutions of the time fractional-order diffusion equation and two cases of Allen-Cahn equations. The acquired results are collated with the exact solutions and other results from literature for integer-order alpha, which reveal that the proposed method is effective. Hence, FRDTM can be employed to obtain solutions for different types of nonlinear fractional-order IVPs arising in engineering and science.(c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )