Fractional calculus is a branch of mathematics that studies the use fractional operators. The evolution computing allowed its application in many areas, including control theory. operators are known to well describe memory phenomena, favorable characteristic for control. Another benefit order these adds more tunable parameters controller, allowing greater flexibility and possibility improving p...

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 ...