Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration me...

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Main Authors: Hassan Kamil Jassim, Canan Ünlü, Seithuti Philemon Moshokoa, Chaudry Masood Khalique
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/309870
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spelling doaj-a94c4298a7a24ce48d0e66f807c46faa2020-11-25T00:18:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/309870309870Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional OperatorsHassan Kamil Jassim0Canan Ünlü1Seithuti Philemon Moshokoa2Chaudry Masood Khalique3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranDepartment of Mathematics, Faculty of Sciences, University of Istanbul, Vezneciler, 34134 Istanbul, TurkeyDepartment of Mathematics and Statistics, Faculty of Science, Tshwane University of Technology, Arcadia Campus, Building 2-117, Nelson Mandela Drive, Pretoria 0001, South AfricaDepartment of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Mmabatho 2735, South AfricaThe local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.http://dx.doi.org/10.1155/2015/309870
collection DOAJ
language English
format Article
sources DOAJ
author Hassan Kamil Jassim
Canan Ünlü
Seithuti Philemon Moshokoa
Chaudry Masood Khalique
spellingShingle Hassan Kamil Jassim
Canan Ünlü
Seithuti Philemon Moshokoa
Chaudry Masood Khalique
Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
Mathematical Problems in Engineering
author_facet Hassan Kamil Jassim
Canan Ünlü
Seithuti Philemon Moshokoa
Chaudry Masood Khalique
author_sort Hassan Kamil Jassim
title Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
title_short Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
title_full Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
title_fullStr Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
title_full_unstemmed Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators
title_sort local fractional laplace variational iteration method for solving diffusion and wave equations on cantor sets within local fractional operators
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.
url http://dx.doi.org/10.1155/2015/309870
work_keys_str_mv AT hassankamiljassim localfractionallaplacevariationaliterationmethodforsolvingdiffusionandwaveequationsoncantorsetswithinlocalfractionaloperators
AT cananunlu localfractionallaplacevariationaliterationmethodforsolvingdiffusionandwaveequationsoncantorsetswithinlocalfractionaloperators
AT seithutiphilemonmoshokoa localfractionallaplacevariationaliterationmethodforsolvingdiffusionandwaveequationsoncantorsetswithinlocalfractionaloperators
AT chaudrymasoodkhalique localfractionallaplacevariationaliterationmethodforsolvingdiffusionandwaveequationsoncantorsetswithinlocalfractionaloperators
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