Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study investigates the fractional coupled viscous Burgers' equation under the Liouville-Caputo, Atangana-Baleanu and Yang-Srivastava-Machado fractional derivatives. With the help of fixed-point theorem, and using the Atangana-Baleanu fractional derivative with Mittag-Leffler kernel type kernel, we proved the existence and uniqueness of the studied model. The Laplace Homotopy perturbation method (LPM) defined with the Liouville-Caputo, Atangana-Baleanu and Yang-Srivastava-Machado operators is used in obtaining the exact solutions of the nonlinear model. The numerical simulations of the obtained solutions are performed. We have seen the effect of the various parameters and variables on the displacement in Figs. 1-6. (C) 2019 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractional Coupled Viscous Burgers' Equation, Liouville-Caputo Derivative, Atangana-Baleanu Fractional Derivative, Yang-Srivastava-Machado Derivative, Laplace Homotopy Perturbation Method
Kaynak
Physica A-Statistical Mechanics And Its Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
527
