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

author

  • Hassan Kamil Jassim Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
Abstract:

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.

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Journal title

volume 03  issue 1

pages  13- 20

publication date 2016-02-01

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