Jleli, MohamedNieto Roig, Juan JoséSamet, Bessem2018-10-222018-10-222017Jleli, Mohamed, Nieto, Juan J. and Samet, Bessem: Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions, Electron. J. Qual. Theory Differ. Equ. 2017, No. 16, 1-17.1417-3875http://hdl.handle.net/10347/17587New Lyapunov-type inequalities are derived for the fractional boundary value problem Daa u(t) + q(t)u(t) = 0, a <t <b, u(a) = u0(a) = … = u(n-2)(a) = 0, u(b) = Iaa (hu)(b), where n E IN, n > 2, n - 1 < <n, Daa denotes the Riemann–Liouville fractional derivative of order a, Iaa denotes the Riemann–Liouville fractional integral of order a, and q, h 2 C([a, b];R). As an application, we obtain numerical approximations of lower bound for the eigenvalues of corresponding equationsengAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Lyapunov-type inequalityFractional boundary value problemEigenvaluejournal article10.14232/ejqtde.2017.1.16open access