Abstract: This paper deals with study about fractional
order impulsive Hamiltonian systems and fractional impulsive
Sturm-Liouville type problems derived from these systems. The
main purpose of this paper devotes to obtain so called Lyapunov
type inequalities for mentioned problems. Also, in view point on
applicability of obtained inequalities, some qualitative properties such
as stability, disconjugacy, nonexistence and oscillatory behaviour of
fractional Hamiltonian systems and fractional Sturm-Liouville type
problems under impulsive conditions will be derived. At the end,
we want to point out that for studying fractional order Hamiltonian
systems, we will apply recently introduced fractional Conformable
operators.