Using T- transformation for Solving System of PDEs with Fractional order

Abstract

In this paper, we have dealt with a new technique for solving a system of linear and nonlinear PDEs with fractional orders. This method is a combination of the T- transformation. Where the T-transformation is considered generalizations of the previous integral transformations. The method and the iterative method are then called the iterative Ttransformation. This is a method that gives appropriate solutions and free from rounding errors and this is done by comparing it with other methods. They are useful in reducing digital accounts and we reinforce this with some examples.