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Novel Methods for Solving the Conformable Wave Equation
ISSN: 2149 - 1402Publisher: author   
Novel Methods for Solving the Conformable Wave Equation
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Science General
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1.3
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214975411402
eISSN
:
2149 - 1402
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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.