An explicit plethora of solution for the fractional nonlinear model of the low–pass electrical transmission lines via Atangana–Baleanu derivative operator

Autor: Choonkil Park, Mostafa M.A. Khater, Raghda A.M. Attia, W. Alharbi, Sultan S. Alodhaibi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 59, Iss 3, Pp 1205-1214 (2020)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.01.044
Popis: Novel explicit wave solutions are constructed for the fractional nonlinear model of the low–pass electrical transmission lines. A new fractional definition (Atangana–Baleanu derivative operator) is employed through the modified Khater method to get new wave solutions in distinct types of this model. The stability property of the obtained solutions is tested to show the ability of our obtained solutions in using through the physical experiments. Moreover, the obtained analytical solutions are used to evaluate the initial and boundary conditions that allows applying the cubic & septic B–spline schemes to investigate the numerical solutions of this model. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical behavior of this model.
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