Application of the Yang Laplace Transforms to Solution to Nonlinear Fractional Wave Equation with Local Fractional Derivative

Abstract

Yang-Laplace transforms is an alternative approach to nonlinear fractional equations with local fractional derivative and local fractional integral. This paper presents a new wave equation with local fractional derivative. Finally, by using the Yang-Laplace transforms, its solution to nonlinear fractional wave equation is investigated in detail.

The Yang Laplace transform- DJ iteration method for solving the local fractional differential equation

“…The above two techniques have been applied by many researchers. More recently, the local fractional Yang-Laplace transform method introduced in [10,17] has been successfully applied in solving the local fractional differential equation. In this paper, in order to promote the Yang-Laplace transform method for solving the local fractional differential equation more simply, we try to couple the Yang-Laplace transform method with the DJ iteration method .…”