Abstract
New Lyapunov-type inequalities are derived for the fractional boundary value problem
D(a)(alpha)u(t) + q (t) u (t) = 0, a < t < b, u(a) = u' (a) - center dot center dot center dot - u((n-2))(a) - 0, u (b) = I-a(alpha)(hu)(b),
where n epsilon N, n >= 2, n - 1 < alpha < n, Da(alpha) denotes the Riemann-Liouville fractional derivative of order alpha, I-a(alpha) denotes the Riemann-Liouville fractional integral of order alpha, and q, h epsilon C (left perpendicular a, b right perpendicular; R). As an application, we obtain numerical approximations of lower bound for the eigenvalues of corresponding equations.