TY - JOUR ID - 17845 TI - The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Kamil Jassim, Hassan AD - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. Y1 - 2016 PY - 2016 VL - 03 IS - 1 SP - 13 EP - 20 KW - Fredholm integral equation KW - Local fractional Adomian decomposition method KW - Local fractional variational iteration method DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_17845.html L1 - https://scma.maragheh.ac.ir/article_17845_a652d4a96c5d40bec32124ba5a31274e.pdf ER -