216 0

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

Title
An explicit plethora of solution for the fractional nonlinear model of the low-pass electrical transmission lines via Atangana-Baleanu derivative operator
Author
박춘길
Keywords
Fractional nonlinear model of the low–pass electrical transmission lines; ABR fractional operator; Modified Khater (mK) method; Stability property; Cubic & Septic B–spline schemes
Issue Date
2020-06
Publisher
ELSEVIER
Citation
ALEXANDRIA ENGINEERING JOURNAL, v. 59, no. 3, page. 1205-1214
Abstract
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.
URI
https://www.sciencedirect.com/science/article/pii/S1110016820300454?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/168945
ISSN
1110-0168; 2090-2670
DOI
10.1016/j.aej.2020.01.044
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE