Solutions of fractional order differential equations with analytical and numerical methods

In this thesis, an improved F-expansion method which allows the analytical solution of nonlinear fractional order differential equations to be determined is discussed. By developing this method a new version of improved F-expansion and a new type of improved F-expansion method are proposed. In addition, variational iteration method, which is a numerical technique, is considered. These methods have been applied to nonlinear fractional differential equations and new and different travelling wave solutions which are not shown in the literature have been found. Furthermore, two and three dimensional graphics of the obtained new solution functions is examined.