On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative

Abstract

In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractionalCaputo Fabrizio differential equation with mixed boundary conditions when the fractional order of β ∈ (1, 2] andDirichlet-type boundary condition when the fractional order of σ ∈ (2, 3] have been derived. Some consequences of theresults related to the fractional Sturm–Liouville eigenvalue problems have also been given. Additionally, we examine thenonexistence of the solution of the fractional boundary value problem.