The existence of positive solutions and a lyapunov type inequality for boundary value problems of the fractional caputo-fabrizio differential equations
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yıldız Teknik Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, a Lyapunov-type inequality and the existence of the positive solutions for boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation have been presented. By using the Guo Krasnoselskii's fixed point theorem on cone and the properties of the associated Green's function, we prove the existence of the positive solution. Finally, we gave some numerical examples to validate the theoretical findings.
Açıklama
Anahtar Kelimeler
Lyapunov-type inequality, Fractional Caputo-Fabrizio derivative, Green’s function, Positive solution, Fixed point
Kaynak
Sigma Journal Of Engineering And Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisi
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
37
Sayı
4
Künye
Toprakseven, Ş. (2019). The Existence Of Positive Solutıons and a Lyapunov Type Inequality for Boundary Value Problems Of The Fractional Caputo-Fabrizio Differential Equations. Sigma: Journal Of Engineering & Natural Sciences/Mühendislik Ve Fen Bilimleri Dergisi, 37(4).1125-1133.
