On nabla-fractional boundary value problems

Firstly basic deffinitions and theorems related nabla fractional calculus are involved. Later, some basic de nitions and theorems which will be used in the other chapters have been expressed. We will consider boundary value problem and also, we determined Green' s function of this BVP and given some properties. Furthermore, we determined bound of Green' s function, and given any theorems about unique solution. Finally we will consider (N-1;N) conjugate boundary value problem. After, we determined Green's function of this conjugate BVP' s. Finally, Lyapunov inequality is established. Moreover, the results obtained in the all chapters have been con rmed in the examples.