Solutions of nonlinear time-fractional wave-like equations with variable coefficients in the form of mittag-leffler functions

Ali Khalouta, Abdelouahab KADEM

Abstract

The purpose of this paper is to use a modied method called fractional Elzaki projected differential transform method (FEPDTM) which is a combination of two powerful methods, the Elzaki transform and projected di¤erential transform method for giving the solutions of nonlinear wave-like di¤erential equations with variable coefficients in the form of Mittag-le­ er functions. The fractional derivative is described in the Caputo sense. Three numerical examples are presented to illustrate the applicability and the easiness of this approach.