THE ANALYTICAL SOLUTIONS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS BY YANG-LAPLACE TRANSFORM

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro- di erential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions.The iteration procedure is based on local fractional derivative op- erators. This approach provides us with a convenient way to nd a solution with less computation as compared with local fractionalvariational iteration method. Some illustrative examples are dis- cussed. The results show that the methodology is very e cient and a simple tool for solving integral equations.

Keywords:

Volterra integro-di erential equation , Yang-Laplace trans- form , Local fractional derivative operators