A lyapunov–type inequality for a class of higher–order fractional boundary value problems

Toprakseven, Şuayip2025-07-252025-07-2520231846579Xhttps://hdl.handle.net/11494/5867This work presents a new Lyapunov-type inequality for a class of higher-order fractional boundary value problem of the fractional Caputo Fabrizio differential equation subject to fractional integral boundary conditions. The derived result is applied to the fractional Sturm-Liouville problem in establishing a lower bound for the eigenvalues. We also provide the necessary condition for nonexistence of the non-trivial solution of the fractional boundary value problem.eninfo:eu-repo/semantics/openAccessFractional Caputo-Fabrizio derivativeFractional Sturm-LiovilleLyapunov inequalityA lyapunov–type inequality for a class of higher–order fractional boundary value problemsArticle17243544510.7153/jmi-2023-17-2910.7153/jmi-2023-17-29Q2