Lyapunov-type Inequalities for Α-th Order Fractional Differential Equations with 2 < Α ≤ 3 and Fractional Boundary Conditions
نویسندگان
چکیده
We study linear fractional boundary value problems consisting of an α-th order Riemann-Liouville fractional differential equation with 2 < α ≤ 3 and certain fractional boundary conditions. We derive several Lyapunovtype inequalities and apply them to establish nonexistence, uniqueness, and existence-uniqueness of solutions for related homogeneous and nonhomogeneous linear fractional boundary value problems. As a special case, our work extends some existing results for third-order linear boundary value problems.
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