Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order

AbstractIn this paper, some new Lyapunov type inequalities will be presented for Riemann-Liouville fractional differential equations of the form (Daαx)(t)+p(t)|x(t)|μ−1x(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