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.
