Solving Fractional Telegraphy Equations Using Double Laplace Transform Method

Abstract

This research project deals with a new two methods called Fractional Double Laplace Decomposition Method and Fractional Natural Decomposition Method. The first method was developed by combining the fractional double Laplace transform and adomain decomposition method. The second method was developed by combining the fractional natural transform and adomain decomposition method. We applied the above methods to find an exact and approximate solution of different types of fractional telegraph equation. adomian polynomials were used to decompose the nonlinear terms of the differential equations. The two techniques are described and illustrated with some examples using the Matlab to plot the solution in order to compare the exact outcome. Then the two techniques lead us to say that these methods have highly accurate and very efficient solutions and can be applied to other nonlinear terms.