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

A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence nonlinearity. First, a frame was designed to construct upper and lower bounds system state. By using monotone theory, positivity error dynamics could be ensured, which implies that trap original Second, sufficient condition applied guarantee boundedness observers. Then, an extensi...

The topic related to the coexistence of different synchronization types between fractional-order chaotic systems is almost unexplored in the literature. Referring to commensurate and incommensurate fractional systems, this paper presents a new approach to rigorously study the coexistence of some synchronization types between nonidentical systems characterized by different dimensions and differe...