Abstract
We construct an explicit and approximate solutions of fractional time-nonlinear fractional equations by using a new approach, namely, the reduced differential transform (RDTM) method. As a special cases, two models of fractional-time derivative of order alpha are used to find the solutions. The effect of the values of the parameter alpha on the behaviour of reduced differential transform (RDTM) method is investigated. The efficiency of the suggested algorithm is tested by using some numerical examples. (C) 2019 Elsevier Ltd. All rights reserved.