Lyapunov-type inequalities for a conformable fractional boundary value problem of order \(3 < \alpha\leq 4\) (Q2422474)

Summary: We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem: \[T_\alpha^a u (t) + q(t) u(t) = 0, \] \[ a < t < b,\, u(a) = u'(a) = u''(a) = u''(b) = 0, \] where \(T_\alpha^a\) is the conformable fractional derivative of order \(\alpha \in(3,4]\) and \(q\) is a real-valued continuous function. Some applications to the corresponding eigenvalue problem are discussed.