Abstract:
In this thesis, Solution of linear and Nonlinear Fractional Telegraph equation by using Natural
Transform Decomposition method was successfully implemented in Adomain polynomial sense
and the fractional of order β subjected to initial condition. A exact solution technique for
solving of linear and Nonlinear Fractional Telegraph equation is presented. Natural Transform
Decomposition method is Modified to study this problem, where the derivatives were defined
in the fractional sense. Some examples are given to demonstrate the validity and applicability
of the method. In examples, we give some example to modified finite difference methods.
The obtained exact results reveal that given Natural Transform Decomposed method very
good than finite difference methods.The decomposed method provides an semi-analytical
solution by using the initial condition only. It produces an efficient explicit solution with
high accuracy and minimal calculation. This method provides very efficiently a convergent
series solution form with easily computable coefficients. The obtained results show that the
Natural Transform decomposition method is very effective and convenient.
