On the Exact Solution of Wave Equations on Cantor Sets

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ID: 33203
2015
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Abstract
The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry and its wide range of applications in many scientific fields. Christianto and Rahul gave the derivation of Proca equations on Cantor sets. Hao et al. investigated the Helmholtz and diffusion equations in Cantorian and Cantor-Type Cylindrical Coordinates. Carpinteri and Sapora studied diffusion problems in fractal media in Cantor sets. Zhang et al. studied local fractional wave equations under fixed entropy. In this paper, we are concerned with the exact solutions of wave equations by the help of local fractional Laplace variation iteration method (LFLVIM). We develop an iterative scheme for the exact solutions of local fractional wave equations (LFWEs). The efficiency of the scheme is examined by two illustrative examples.
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baleanu2015onentropy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Baleanu, Dumitru;Khan, Hasib;Jafari, Hossien;Khan, Rahmat Ali;
Journal entropy
Year 2015
DOI
DOI not found
URL
http://www.mdpi.com/1099-4300/17/9/6229
Keywords Keywords not found

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