The existence and uniqueness of initial-boundary value problems of the fractional caputo-fabrizio differential equations
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, the existence and uniqueness problem of the initial and boundary value problems of the linear fractional Caputo-Fabrizio differential equation of order σ ∈ (1,2] have been investigated. By using the Laplace transform of the fractional derivative, the fractional differential equations turn into the classical differential equation of integer order. Also, the existence and uniqueness of nonlinear boundary value problem of the fractional Caputo-Fabrizio differential equation has been proved. An application to mass spring damper system for this new fractional derivative has also been presented in details.
Açıklama
Anahtar Kelimeler
Caputo–Fabrizio fractional derivative, Existence and uniqueness of fractional differential equations, Laplace transform, Mass spring damper system
Kaynak
Universal Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
2
Sayı
2
