A three fractional order jerk equation with anti periodic conditions
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Utilizing Krasnoselskii fixed point theorem we prove another existence result governing at least one solution. We provide an illustrative example to claim our established results. At the end, an approximation for Caputo derivative is proposed and some chaotic behaviours are discussed by means of the Runge Kutta 4th order method.
Açıklama
Anahtar Kelimeler
Jerk equation, fractional derivatives, anti periodic conditions, fixed point theorem
Kaynak
Facta Universitatis-Series Mathematics And Informatics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
38
Sayı
2
