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Exact solution for local fractional Diffusion and Wave Equations on Cantor Sets

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dc.contributor.author A. H. Mtawal, Ahmad.
dc.contributor.author A. Maity, Eman.
dc.date.accessioned 2021-09-26T12:32:36Z
dc.date.available 2021-09-26T12:32:36Z
dc.date.issued 2021-07
dc.identifier.issn 2518-5845
dc.identifier.uri http://repository.uob.edu.ly/handle/123456789/1567
dc.description.abstract In this paper, the local fractional homotopy perturbation method and the local fractional Sumudu transform are used to study diffusion and wave equations defined on Cantor sets with the fractal conditions with local fractional derivatives. The LFSHPM analytical method minimizes the computational size and may be applied directly to fractional differential equations without any linearization, discretization of variables, transformation, or restrictive assumptions. It provides series solutions that converge quickly in a few iterations. The proposed analytical method is successfully applied to diffusion and wave equations defined on cantor sets with fractal conditions, and proved to be highly efficient and computational accurate en_US
dc.language.iso other en_US
dc.publisher University of Benghazi en_US
dc.subject local fractional Sumudu transform en_US
dc.subject local fractional homotopy perturbation method, en_US
dc.subject Diffusion equation en_US
dc.subject Wave equation en_US
dc.title Exact solution for local fractional Diffusion and Wave Equations on Cantor Sets en_US
dc.type Working Paper en_US

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