Abstract

PurposeThe purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time‐fraction modified equal width wave (MEW) equation.Design/methodology/approachThe fractional derivative is described in the Caputo sense.FindingsIt is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations.Originality/valueThe paper shows that exact solutions can also be obtained from the known forms of the series solutions.

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