N-fractional calculus method

In this thesis, history of the fractional calculus and some of the studies related to the fractional calculus have been indicated. Definitions of some special functions, some properties of the fractional calculus, definitions of fractional derivative and fractional integral with examples and N-fractional calculus method have been given. Some singular differential equations can be solved by using this method. In the last section, solutions of the radial Schrödinger equation under two different potentials were obtained via N-fractional calculus method. Thus, a new method has been used to solve these two equations and solutions have been found in fractional forms.