3.9 Article

Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method

Journal

FIXED POINT THEORY AND APPLICATIONS
Volume -, Issue -, Pages 1-11

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1687-1812-2013-89

Keywords

local fractional variational iteration method; damped wave equation; dissipative wave equation; local fractional operators; fractal strings

Funding

  1. Natural Science Foundation of Tianjin, China [10JCZDJC25100]

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In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration method is an efficient and simple tool for solving mathematical problems arising in fractal wave motions. MSC: 74H10, 35L05, 28A80.

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