The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators

The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators

In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional deriv...

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Main Author: Hassan Kamil Jassim
Format: Article
Language:English
Published: University of Maragheh 2016-02-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Fredholm integral equation
Local fractional Adomian decomposition method
Local fractional variational iteration method
Online Access:http://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdf
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spelling doaj-c9d3e919dcce462c86c551d448c406d92020-11-25T01:11:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002016-02-0131132017845The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operatorsHassan Kamil Jassim0Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.http://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdfFredholm integral equationLocal fractional Adomian decomposition methodLocal fractional variational iteration method
collection DOAJ
language English
format Article
sources DOAJ
author Hassan Kamil Jassim
spellingShingle Hassan Kamil Jassim
The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
Sahand Communications in Mathematical Analysis
Fredholm integral equation
Local fractional Adomian decomposition method
Local fractional variational iteration method
author_facet Hassan Kamil Jassim
author_sort Hassan Kamil Jassim
title The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
title_short The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
title_full The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
title_fullStr The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
title_full_unstemmed The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
title_sort approximate solutions of fredholm integral equations on cantor sets within local fractional operators
publisher University of Maragheh
series Sahand Communications in Mathematical Analysis
issn 2322-5807
2423-3900
publishDate 2016-02-01
description In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.
topic Fredholm integral equation
Local fractional Adomian decomposition method
Local fractional variational iteration method
url http://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdf
work_keys_str_mv AT hassankamiljassim theapproximatesolutionsoffredholmintegralequationsoncantorsetswithinlocalfractionaloperators
AT hassankamiljassim approximatesolutionsoffredholmintegralequationsoncantorsetswithinlocalfractionaloperators
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