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

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Küçük Resim

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Element D.O.O.

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This 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.

Açıklama

Anahtar Kelimeler

Fractional Caputo-Fabrizio derivative, Fractional Sturm-Lioville, Lyapunov inequality

Kaynak

Journal of Mathematical Inequalities

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

17

Sayı

2

Künye