Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems

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Küçük Resim

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

University of Nis

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we obtain Hartman-Wintner and Lyapunov-type inequalities for the three-point fractional boundary value problem of the fractional Liouville-Caputo differential equation of order ? ? (2, 3]. The results presented in this work are sharper than the existing results in the literature. As an application of the results, the fractional Sturm–Liouville eigenvalue problems have also been presented. Moreover, we examine the nonexistence of the nontrivial solution of the fractional boundary value problem.

Açıklama

Anahtar Kelimeler

Hartman-Wintner-type inequality, Lyapunov-type inequality, Fractional Liouville-Caputo derivative, High order fractional

Kaynak

Filomat

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

34

Sayı

7

Künye

Toprakseven, Ş. (2020). Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems. Filomat. 34(7). 2273-2281. DOI: 10.2298/FIL2007273T