نوع المشرف

مشرف رئيسي

تاريخ الاشراف على الرسالة من

2016

الى

2016

اسم الطالب

Tamer Yousef Alabsi

ملخص الرسالة

In this thesis we will apply a new analytical method called the residual power series method (RPS) to give a solution of a time fractional unsteady and incompressible fractional Navier-Stokes equation. We will use the RPS method to generate the solution of the nonlinear time fractional Navier-Stokes equation in two dimensions in the form of a rapidly convergent series, where we adopted the definition of conformable fractional differential derivatives. Then we will apply this technique to a test example from the literature which contained the full version of the Navier-Stokes equation. The results reveal that the proposed method performs extremely well in terms of efficiency and simplicity and it can be utilized to solve more problems in the field of non-linear fractional differential equations (FDEs).