Approximate methods for solving local fractional integral equations

This paper presents new analytical approximate methods such as local fractional variational iteration method and local fractional decomposition method for a family of the linear and nonlinear integral equations of the second kind within local fractional derivative operators. Some examples are presented to illustrate the efficiency and accuracy of the proposed methods. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.

Keywords:

Local fractional integral equations , Local fractional variational iteration method , Local fractional decomposition method , Analytical approximate solutions