Novel Methods for Solving the Conformable Wave Equation

Authors : Mohammed Kaabar

Pages : 56-85

View : 14 | Download : 10

Publication Date : 2020-06-30

Article Type : Research

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, di erential transform method