Hartman–Wintner type inequalities for a class of fractional BVPs with higher order

Abstract

Abstract In this paper, we derive some Hartman–Wintner type inequalities for a certain higher order fractional boundary value problem. As an application of our results, we obtain a lower bound for the eigenvalues of the corresponding fractional operator.

Keywords

• Hartman–Wintner inequality
• Lyapunov inequality
• Fractional boundary value problem
• Higher order
• Eigenvalue