摘要：In this paper, some new Lyapunov type inequalities will be presented for Riemann-Liouville fractional differential equations of the form ( D a α x ) ( t ) + p ( t ) x ( t ) μ − 1 x ( t ) + q ( t ) x ( t ) γ − 1 ( t ) x ( t ) = f ( t ) , $$\bigl(D^{\alpha}_{a}x\bigr) (t)+p(t)\big x(t)\big ^{\mu-1}x (t)+q(t)\big x(t)\big ^{\gamma -1}(t)x(t)=f(t), $$ where α ∈ ( n − 1 , n ] $\alpha\in(n-1, n]$ ( n ≥ 3 $n\geq3$ ), p, q, f are real-valued functions and 0 < γ < 1 < μ < n $0<\gamma<1<\mu
关键词：Lyapunov type inequality ; Riemann-Liouville fractional differential equation ; Green’s function ; higher fractional order
