Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4

We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem ( BVP ):T α a u t + q ( t ) u ( t ) = 0 ,     a < t < b ,     u ( a ) = u ′ ( a ) = u ′ ′ ( a ) = u ′ ′ ( b ) = 0 , whereT α ais the conformable fractional derivative of order α ∈ ( 3,4 ] and q is a real-valued continuous function . Some applications to the corresponding eigenvalue problem are discussed.