Novel Methods for Solving the Conformable Wave Equation

Year 2020, Issue: 31, 56 - 85, 30.06.2020

Mohammed Kaabar

Abstract

In this paper, a two-dimensional conformable fractional wave equation
describing a circular membrane undergoing axisymmetric vibrations is formulated. It
was found that the analytical solutions of the fractional wave equation using the conformable fractional
formulation can be easily and efficiently obtained using separation
of variables and double Laplace transform methods. These solutions are compared
with the approximate solution obtained using the differential transform method for
certain cases

Keywords

conformable derivative, wave equation, double Laplace transform, dierential transform method

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