Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives

Alireza Ansari, Shiva Eshaghi, Reza Khoshsiar Ghaziani

In this paper, we introduce a fractional nonlinear system of differential equations including the Riemann-Liouville derivatives. We present some new Lyapunov-type inequalities for this fractional nonlinear system and its special cases. A study of the boundedness and the behavior of oscillatory solutions are also given.