Two fractional order Langevin equation with new chaotic dynamics
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theo-rem under a weak topology, and an illustrative example is then given. Further-more, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations.
Açıklama
Anahtar Kelimeler
Caputo, Caputo-Fabrizio derivative, Atangana-Baleanu derivative, fixed-point theory, three-step Adams-Bashforth scheme
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics And Statistics
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
72
Sayı
3
