%0 Journal Article
%T The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Kamil Jassim, Hassan
%D 2016
%\ 02/01/2016
%V 03
%N 1
%P 13-20
%! The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators
%K Fredholm integral equation
%K Local fractional Adomian decomposition method
%K Local fractional variational iteration method
%R
%X 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.
%U http://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdf