On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative
Yükleniyor...
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TUBITAK Scientific & Technical Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution 3.0 United States
Attribution 3.0 United States
Özet
In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of beta is an element of (1, 2] and Dirichlet-type boundary condition when the fractional order of sigma is an element of (2, 3] have been derived. Some consequences of the results related to the fractional Sturm-Liouville eigenvalue problems have also been given. Additionally, we examine the nonexistence of the solution of the fractional boundary value problem.
Açıklama
Anahtar Kelimeler
Lyapunov-type inequality, Fractional Caputo-Fabrizio derivative, High order fractional
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
44
Sayı
4
Künye
Toprakseven, Ş. (2020). On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative. Turkish Journal of Mathematics, 44(4), 1362-1375. doi: 10.3906/mat-1905-118.
