Lyapunov type inequalities for nonlinear fractional Hamiltonian systems in the frame of conformable derivatives

Abstract

Lyapunov type integral inequality is one of the important inequalities in qualitative analysis of differential equations. In this paper, using properties of conformable derivatives and integral, and the solution of initial value problem for conformable fractional differential equation, some new Lyapunov type integral inequalities for higher order nonlinear fractional Hamiltonian systems are obtained, which improve and unify some known results in the literatures.